Yasunori Kimura

Professor
Department of Information Science
Faculty of Science
Toho University



Research Interests

Conference Calendar

2024

2023

2022

2021

Past Conferences

Publication

Articles in Journals

  1. Y. Kimura and K. Sasaki, Resolvents of the equilibrium problem with generalized perturbations on complete geodesic spaces with negative curvature, Advances in the Theory of Nonlinear Analysis and its Applications 7 (2023), 98-108.
  2. Y. Kimura and T. Ogihara, Strong convergence theorems and a projection method using a balanced mapping in Hadamard spaces, Filomat 37 (2023), 9287-9297.
  3. Y. Kimura and K. Sasaki, Sufficient conditions for perturbations to define the resolvent of the equilibrium problem on complete geodesic spaces, Journal of Fixed Point Theory and Applications 25 (2023), 24pp.
  4. Y. Kimura and S. Sudo, New type parallelogram laws in Banach spaces and geodesic spaces with curvature bounded above, Arabian Journal of Mathematics 12 (2023), 389-412.
  5. Y. Kimura and K. Shindo, Asymptotic behavior of resolvents of equilibrium problems on complete geodesic spaces, Demonstratio Mathematica 56 (2023), pp. 20220187.
  6. Y. Kimura and K. Torii, A convergence theorem of an implicit type iteration in a geodesic space, Numerical Functional Analysis and Optimization 43 (2022), 599-612.
  7. Y. Kimura and S. Sudo, Uniform convexity and convergence of a sequence of sets in a complete geodesic space, Abstract and Applied Analysis 2022 (2022), Article ID 9534978, 11 pages.
  8. Y. Kimura and M. Toyoda, Fixed point theorem in ball spaces and Caristi's fixed point theorem, Journal of Nonlinear and Convex Analysis 23 (2022), 185-189.
  9. Y. Kimura and K. Shindo, Asymptotic behavior of resolvents of a convergent sequence of convex functions on complete geodesic spaces, Axioms 11 (2022), 21 pages.
  10. Y. Kimura and K. Sasaki, A Halpern type iterative scheme for a finite number of mappings in complete geodesic spaces with curvature bounded above, Numerical Functional Analysis and Optimization 42 (2021), 1683-1699.
  11. T. Ezawa and Y. Kimura, Halpern iteration for a finite family of quasinonexpansive mappings on a complete geodesic space with curvature bounded above by one, Linear and Nonlinear Analysis 7 (2021), 141-155.
  12. Y. Kimura, Resolvents of equilibrium problems on a complete geodesic space, Carpathian Journal of Mathematics 37 (2021), 463-476.
  13. T. Kajimura, K. Kasahara, Y. Kimura, and K. Nakagawa, Balanced mappings and an iterative scheme in complete geodesic spaces, Jourmal of Nonlinear Analysis and Optimization 12 (2021), 1-11.
  14. K. Kasahara and Y. Kimura, Iterative sequences for a finite number of resolvent operators on complete geodesic spaces, Axioms 10 (2021), 15pp.
  15. Y. Kimura and K. Nakagawa, On the convergence rate of Mann iteration in geodesic spaces with positive curvature, Optimization 70 (2021), 929-935.
  16. Y. Kimura and K. Shindo, Asymptotic behavior of resolvents at zero on complete geodesic spaces with a curvature bounded above, Journal of Nonlinear and Convex Analysis 21 (2020), 2043-2048.
  17. Y. Kimura, K. Nakagawa, and H. Wada, Halpern iteration with two kinds of mappings in a complete geodesic space with curvature bounded above, Linear and Nonlinear Analysis 6 (2020), 91-101.
  18. Y. Kimura and K. Sasaki, A Halpern type iteration with multiple anchor points in complete geodesic spaces with negative curvature, Fixed Point Theory 21 (2020), 631-646.
  19. H. Hirono and Y. Kimura, Halpern type iteration with two mappings in a complete geodesic space, Fixed Point Theory 21 (2020), 549-560.
  20. Y. Kimura, Explicit and implicit iterative schemes with balanced mappings in Hadamard spaces, Thai Journal of Mathematics, 18 (2020), 425-434.
  21. T. Kajimura and Y. Kimura, A spherically vicinal mapping on geodesic spaces with curvature bounded above, Thai Journal of Mathematics, 18 (2020), 384-393.
  22. T. Kajimura and Y. Kimura, The proximal point algorithm in complete geodesic spaces with negative curvature, Advances in the Theory of Nonlinear Analysis and its Applications 3 (2019), 192-200.
  23. T. Kajimura and Y. Kimura, Resolvents of convex functions in complete geodesic metric spaces with negative curvature, Journal of Fixed Point Theory and Applications 21 (2019), 15 pp.
  24. Y. Kimura and K. Nakajo, Strong convergence for a modified forward-backward splitting method in Banach spaces, Journal of Nonlinear and Variational Analysis 3 (2019), 5-18.
  25. Y. Kimura and F. Kohsaka, Two modified proximal point algorithms in geodesic spaces with curvature bounded above, Rendiconti del Circolo Matematico di Palermo Series II 68 (2019), 83-104.
  26. T. Hasegawa and Y. Kimura, Convergence to a fixed point of a balanced mapping by the Mann algorithm in a Hadamard space, Linear and Nonlinear Analysis 4 (2018), 405-412.
  27. Y. Kimura and Y. Kishi, Equilibrium problems and their resolvents in Hadamard spaces, Journal of Nonlinear and Convex Analysis 19 (2018), 1503-1513.
  28. Y. Kimura, An approximation method with nonsummable errors for convex minimization problems, Linear and Nonlinear Analysis, 3 (2017), 401-407.
  29. Y. Kimura and K. Satô, The existence of nonexpansive extension on a geodesic space with constant curvature, Journal of Nonlinear and Convex Analysis 18 (2017), 123-136.
  30. Y. Kimura and F. Kohsaka, The proximal point algorithm in geodesic spaces with curvature bounded above, Linear and Nonlinear Analysis, 3 (2017), 133-148.
  31. Y. Kimura and H. Wada, Iterative methods for nonexpansive mappings on Hadamard spaces and their coefficient conditions, Linear and Nonlinear Analysis 2 (2016), 253-261.
  32. T. Ibaraki and Y. Kimura, Approximation of a fixed point of generalized firmly nonexpansive mappings with nonsummable errors, Linear and Nonlinear Analysis 2 (2016), 301-310.
  33. Y. Kimura and F. Kohsaka, Two modified proximal point algorithms for convex functions in Hadamard spaces, Linear and Nonlinear Analysis 2 (2016), 69-86.
  34. Y. Kimura, A shrinking projection method for nonexpansive mappings with nonsummable errors in a Hadamard space, Annals of Operations Research 243 (2016), 89-94.
  35. S. Huang and Y. Kimura, A projection method for approximating fixed points of quasinonexpansive mappings in Hadamard spaces, Fixed Point Theory and Applications, 2016 (2016), 13 pages.
  36. Y. Kimura and F. Kohsaka, Spherically nonspreading mappings in geodesic spaces with curvature bounded above by one, Journal of Fixed Point Theory and Applications 18 (2016), 93-115.
  37. Y. Kimura and K. Satô, Approximation of a common fixed point in a geodesic space with curvature bounded above, Journal of Nonlinear and Convex Analysis 16 (2015), 2227-2234.
  38. Y. Kimura and S. Saejung, Strong convergence for a common fixed point of two different generalizations of cutter operators, Linear and Nonlinear Analysis 1 (2015), 53-65.
  39. S. Akashi, Y. Kimura, and W. Takahashi, Strongly convergent iterative methods for generalized split feasibility problems in Hilbert spaces, Journal of Convex Analysis 22 (2015), 917-938.
  40. Y. Kimura and H. Wada, Halpern type iteration with multiple anchor points in a Hadamard space, Journal of Inequalities and Applications 2015 (2015), 11 pages.
  41. Y. Kimura and K. Nakajo, Strong convergence to a solution of a variational inequality problem in Banach spaces, Journal of Applied Mathematics 2014 (2014), Article ID 346517, 10 pages.
  42. K. Aoyama and Y. Kimura, Viscosity approximation methods with a sequence of contractions, Cubo, A Mathematical Journal 16 (2014), 9-20.
  43. Y. Kimura and K. Nakagawa, Another type of Mann iterative scheme for two mappings in a complete geodesic space, Journal of Inequalities and Applications, 2014:72 (2014), 9 pages.
  44. Y. Kimura, Approximation of a common fixed point of a finite family of nonexpansive mappings with nonsummable errors in a Hilbert space, Journal of Nonlinear and Convex Analysis 15 (2014), 429-436.
  45. Y. Kimura, S. Saejung, and P. Yotkaew, The Mann algorithm in a complete geodesic space with curvature bounded above, Fixed Point Theory and Applications 2013:336 (2013), 13 pages.
  46. Y. Kimura and K. Nakajo, The problem of image recovery by the metric projections in Banach spaces, Abstract and Applied Analysis, 2013 (2013), Article ID 817392, 6 pages.
  47. Y. Kimura and K. Satô, Halpern iteration for strongly quasinonexpansive mappings on a geodesic space with curvature bounded above by one, Fixed Point Theory and Applications 2013 (2013), 14 pages.
  48. Y. Kimura and K. Satô, Two convergence theorems to a fixed point of a nonexpansive mapping on the unit sphere of a Hilbert space, Filomat 26 (2012), 949-955.
  49. Y. Kimura and K. Satô, Convergence of subsets of a complete geodesic space with curvature bounded above, Nonlinear Analysis: Theory, Methods & Applications 75 (2012), 5079-5085.
  50. K. Aoyama, Y. Kimura, and F. Kohsaka, Strong convergence theorems for strongly relatively nonexpansive sequences and applications, Journal of Nonlinear Analysis and Optimization: Theory & Applications 3 (2012), 67-77.
  51. Y. Kimura and K. Nakajo, Viscosity approximations by the shrinking projection method in Hilbert spaces, Computers & Mathematics with Appications 63 (2012), 1400-1408.
  52. Y. Kimura, Shrinking projection methods for a family of maximal monotone operators, Nonlinear Functional Analysis and Applications 16 (2011), 481-489.
  53. K. Aoyama and Y. Kimura, Strong convergence theorems for strongly nonexpansive sequences, Applied Mathematics and Computation 217 (2011), 7537-7545.
  54. T. Ibaraki and Y. Kimura, Convergence of nonlinear projections and shrinking projection methods for common fixed point problems, Journal of Nonlinear Analysis and Optimization 2 (2011), 209-222.
  55. Y. Kimura, W. Takahashi, and J. C. Yao, Strong convergence of an iterative scheme by a new type of projection method for a family of quasinonexpansive mappings, Journal of Optimization Theory and Applications 149 (2011), 239-253.
  56. Y. Kimura, Convergence of a sequence of sets in a Hadamard space and the shrinking projection method for a real Hilbert ball, Abstract and Applied Analysis 2010 (2010), Article ID 582475, 11 pages.
  57. Y. Kimura and K. Nakajo, Some characterizations for a family of nonexpansive mappings and convergence of a generated sequence to their common fixed point, Fixed Point Theory and Applications 2010 (2010), Article ID 732872, 16 pages.
  58. Y. Kimura, Further improvement of a coefficient condition for a weakly convergent iterative scheme, Nonlinear Analysis Series A: Theory, Methods & Applications 71 (2009), e2023-e2027.
  59. Y. Kimura, K. Nakajo, and W. Takahashi, Convexity of the set of fixed points of a quasi-pseudocontractive type Lipschitz mapping and the shrinking projection method, Scientiae Mathematicae Japonicae 70 (2009), 213-220.
  60. Y. Kimura and W. Takahashi, On a hybrid method for a family of relatively nonexpansive mappings in a Banach space, Journal of Mathematical Analysis and Applications 357 (2009), 356-363.
  61. Y. Kimura, K. Nakajo, and W. Takahashi, Strongly convergent iterative schemes for a sequence of nonlinear mappings, Journal of Nonlinear and Convex Analysis 9 (2008), 407-416.
  62. Y. Kimura and W. Takahashi, A generalized proximal point algorithm and implicit iterative schemes for a sequence of operators on Banach spaces, Set-Valued Analysis 16 (2008), 597-619.
  63. K. Aoyama, Y. Kimura, and W. Takahashi, Maximal monotone operators and maximal monotone functions for equilibrium problems, Journal of Convex Analysis 15 (2008), 395-409.
  64. K. Aoyama, Y. Kimura, W. Takahashi, and M. Toyoda, On a strongly nonexpansive sequence in Hilbert spaces, Journal of Nonlinear and Convex Analysis 8 (2007), 471-489.
  65. K. Aoyama, Y. Kimura, W. Takahashi, and M. Toyoda, Finding common fixed points of a countable family of nonexpansive mappings in a Banach space, Scientiae Mathematicae Japonicae 66 (2007), 89-99.
  66. K. Aoyama, Y. Kimura, W. Takahashi, and M. Toyoda, Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space, Nonlinear Analysis Series A: Theory, Methods & Applications 67 (2007), 2350-2360.
  67. H. Fukhar-ud-din, Y. Kimura, and H. Kiuchi, Noor iterations with errors for two asymptotically nonexpansive mappings in the intermediate sense in a Banach space, Scientiae Mathematicae Japonicae 63 (2006), 51-60.
  68. Y. Kimura, Weak convergence of resolvents of maximal monotone operators and Mosco convergence, Fixed Point Theory 6 (2005), 59-69.
  69. Y. Kimura, W. Takahashi, and M. Toyoda, Convergence to common fixed points of a finite family of nonexpansive mappings, Archiv der Mathematik 84 (2005), 350-363.
  70. Y. Kimura, Mosco convergence of closed convex subsets and resolvents of maximal monotone operators, Journal of Nonlinear and Convex Analysis 4 (2003), 269-275.
  71. T. Ibaraki, Y. Kimura, and W. Takahashi, Convergence theorems for generalized projections and maximal monotone operators in Banach spaces, Abstract and Applied Analysis 2003 (2003), 621-629.
  72. Y. Kimura and W. Takahashi, Weak convergence to common fixed points of countable nonexpansive mappings and its applications, Journal of the Korean Mathematical Society 38 (2001), 1275-1284.
  73. Y. Kimura and W. Takahashi, Strong convergence of sunny nonexpansive retractions in Banach spaces, PanAmerican Mathematical Journal 9 (1999), 1-6.
  74. Y. Kimura, A characterization of epi-convergence for lower semicontinuous functions without separability, Mathematica Japonica 49 (1999), 285-291.

Articles in Conference Proceedings

  1. Y. Kimura and S. Naiki, The CQ projection method and equilibrium problems in Hadamard spaces, Proceedings International Conference on Nonlinear Analysis and Convex Analysis & International Conference on Optimization: Techniques and Applications --I-- (Hakodate, Japan, 2019), (Y. Kimura, M. Muramatsu, W. Takahashi, and A. Yoshise eds.), 2021, pp. 303-311.
  2. K. Kasahara and Y. Kimura, Iterative sequences for a balanced mapping of resolvents, Proceedings International Conference on Nonlinear Analysis and Convex Analysis & International Conference on Optimization: Techniques and Applications --I-- (Hakodate, Japan, 2019), (Y. Kimura, M. Muramatsu, W. Takahashi, and A. Yoshise eds.), 2021, pp. 221-232.
  3. Y. Kimura and K. Sasaki, A Halpern's iterative scheme with multiple anchor points in complete geodesic spaces with curvature bounded above, Proceedings International Conference on Nonlinear Analysis and Convex Analysis & International Conference on Optimization: Techniques and Applications --I-- (Hakodate, Japan, 2019), (Y. Kimura, M. Muramatsu, W. Takahashi, and A. Yoshise eds.), 2021, pp. 313-329.
  4. H. Hirono and Y. Kimura, Approximation of fixed points in complete geodesic space and coefficient conditions, Proceedings International Conference on Nonlinear Analysis and Convex Analysis & International Conference on Optimization: Techniques and Applications --I-- (Hakodate, Japan, 2019), (Y. Kimura, M. Muramatsu, W. Takahashi, and A. Yoshise eds.), 2021, pp. 73-85.
  5. Y. Kimura, Convergence of a sequence generated by multiple anchor points in Hadamard spaces, Proceedings International Conference on Nonlinear Analysis and Convex Analysis & International Conference on Optimization: Techniques and Applications --I-- (Hakodate, Japan, 2019), (Y. Kimura, M. Muramatsu, W. Takahashi, and A. Yoshise eds.), 2021, pp. 291-301.
  6. Y. Kimura and K. Shindo, Asymptotic behavior of resolvents on complete geodesic spaces with negative curvature, Proceedings International Conference on Nonlinear Analysis and Convex Analysis & International Conference on Optimization: Techniques and Applications --I-- (Hakodate, Japan, 2019), (Y. Kimura, M. Muramatsu, W. Takahashi, and A. Yoshise eds.), 2021, pp. 331-341.
  7. T. Kajimura and Y. Kimura, A vicinal mapping on geodesic spaces, Proceedings International Conference on Nonlinear Analysis and Convex Analysis & International Conference on Optimization: Techniques and Applications --I-- (Hakodate, Japan, 2019), (Y. Kimura, M. Muramatsu, W. Takahashi, and A. Yoshise eds.), 2021, pp. 183-195.
  8. Y. Kimura, Convex minimization problems on geodesic spaces and the shrinking projection method with errors, Differential Geometry, Algebra, and Analysis (M. H. Shahid, M. Ashraf, F. Al-Solamy, Y. Kimura, and G. E. Vilcu eds.), 2020, pp. 197-206.
  9. T. Ibaraki, S. Kajiba, and Y. Kimura, Approximation of a common fixed point of two nonlinear mappings with nonsummable errors in a Banach space, Differential Geometry, Algebra, and Analysis (M. H. Shahid, M. Ashraf, F. Al-Solamy, Y. Kimura, and G. E. Vilcu eds.), 2020, pp. 185-196.
  10. Y. Kimura, The shrinking projection method and resolvents on Hadamard spaces, Mathematical programming and Game Theory, Indian Stat. Inst. Ser., Springer, Singapore, 2018, pp. 131-139.
  11. Y. Kimura and K. Satô, Image recovery problem on a geodesic space with curvature bound above by one, Proceedings of the Third Asian Conference on Nonlinear Analysis and Optimization, (Matsue, Japan, 2012), (S. Akashi, T. Tanaka, and W. Takahashi eds.), pp. 165-172.
  12. Y. Kimura, Approximation of a fixed point of nonlinear mappings with nonsummable errors in a Banach space, Proceedings of the International Symposium on Banach and Function Spaces IV (Kitakyushu, Japan), (L. Maligranda, M. Kato, and T. Suzuki eds.), 2012, pp. 303--311.
  13. Y. Kimura, Shrinking projection method for a family of nonexpansive mappings in a Hadamard space, Proceedings of the Seventh International Conference on Nonlinear Analysis and Convex Analysis I (S. Akashi, D. S. Kim, T. H. Kim, G. M. Lee, W. Takahashi, and T. Tanaka eds.), 2013, pp.229-235.
  14. Y. Kimura, Approximation of a fixed point of nonexpansive mapping with nonsummable errors in a geodesic space, Proceedings of the 10th International Conference on Fixed Point Theory and Its Applications, 2012, 157-164.
  15. K. Aoyama and Y. Kimura, A note on the hybrid steepest descent methods, Proceedings of the 10th International Conference on Fixed Point Theory and Its Applications, 2012, pp.73-80.
  16. Y. Kimura, Shrinking projection method for a family of quasinonexpansive mappings with a sequence of subsets of an index set, Nonlinear Mathematics for Uncertainty and its Applications (S. Li, X. Wang, Y. Okazaki, J. Kawabe, T. Murofushi, and L. Guan eds.), 2011, pp.371-378.
  17. Y. Kimura, Shrinking projection methods and common zero point problems for a finite family of maximal monotone operators, Proceedings of the Sixth International Conference on Nonlinear Analysis and Convex Analysis (Tokyo, Japan) (S. Akashi, Y. Kimura, and T. Tanaka eds.), 2010, pp.125-133.
  18. Y. Kimura, Strong convergence theorems by a hybrid method for families of relatively nonexpansive mappings in Banach spaces, Proceedings of Asian Conference on Nonlinear Analysis and Optimization (Shimane, Japan) (S. Akashi, W. Takahashi, and T. Tanaka eds.), 2009, pp.163-172.
  19. Y. Kimura, Weak convergence of an iterative scheme with a weaker coefficient condition, Modeling, Computation and Optimization (S. K. Neogy, A. K. Das, and R. B. Bapat, eds.), 2009, pp.287-298.
  20. Y. Kimura, An improvement of coefficient condition for weakly convergent iterative schemes, Proceedings of the Fifth International Conference on Nonlinear Analysis and Convex Analysis (Hsinchu, Taiwan) (S.-B. Hsu, H.-C. Lai, L.-J. Lin, W. Takahashi, T. Tanaka, and J.-C. Yao eds.), 2008, pp.85-93.
  21. K. Aoyama, Y. Kimura, W. Takahashi, and M. Toyoda, Strongly nonexpansive sequences and their applications in Banach spaces, Proceedings of the Eighth International Conference on Fixed Point Theory and its Applications (Chiang Mai, Thailand), (S. Dhompongsa, K. Goebel, W. A. Kirk, S. Plubtieng, B. Sims, and S. Suantai eds.), 2008, pp.1-18.
  22. Y. Kimura, Equilibrium problems and convergence of resolvents for a sequence of functions, Proceedings of the International Symposium on Banach and Function Spaces II (Kitakyushu, Japan) (M. Kato and L. Maligranda, eds.), 2008, pp.349-359.
  23. Y. Kimura, On a strong convergence theorem of resolvents for maximal monotone operators in a Banach space, Proceedings of 2005 Symposium on Applied Functional Analysis--Information Science and Related Fields (T. Murofushi, W. Takahashi, and M. Tsukada eds.), 2007, pp.193-202.
  24. Y. Kimura, Approximating zeros of a monotone operator with iterative algorithms, Proceedings of the Fourth International Conference on Nonlinear Analysis and Convex Analysis (Okinawa, Japan) (W. Takahashi and T. Tanaka eds.), 2007, pp.253-260.
  25. Y. Kimura, A characterization of strong convergence for a sequence of resolvents of maximal monotone operators, Proceedings of the Seventh International Conference on Fixed Point Theory and its Applications (Guanajuato, Mexico) (H. Fetter, B. Gamboa de Buen, K. Goebel, W. A. Kirk, and B. Sims, eds.), 2006, pp.149-159.
  26. Y. Kimura, Mosco convergence and maximal monotone operators in Banach spaces, Proceedings of the Third International Conference on Nonlinear Analysis and Convex Analysis (Tokyo, Japan) (W. Takahashi and T. Tanaka eds.), 2004, pp.195-202.
  27. Y. Kimura, On Mosco convergence for a sequence of closed convex subsets of Banach spaces, Proceedings of the International Symposium on Banach and Function Spaces (Kitakyushu, Japan) (M. Kato and L. Maligranda, eds.), 2004, pp.291-300.

Edited Books

  1. M. H. Shahid, M. Ashraf, F. Al-Solamy, Y. Kimura, and G. E. Vilcu (eds.), Differential Geometry, Algebra, and Analysis, Springer Singapore, Singapore, 2020, ISBN: 978-981-15-5454-4.
  2. S. Akashi, Y. Kimura, and T. Tanaka (eds.), Nonlinear analysis and convex analysis, Yokohama Publishers, Yokohama, 2010, In celebration of the retirement of Professor Wataru Takahashi, ISBN: 978-4-946552-41-0.

CV

Education

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Contact

Postal Address
Department of Information Science
Toho University
2-2-1, Miyama, Funabashi, Chiba 274-8510
Japan
Telephone
+81 47 472 8722
Email
yasunori@is.sci.toho-u.ac.jp

yasunori@is.sci.toho-u.ac.jp