Publications

Articles (refereed)

  1. T. Ibaraki, Y. Kimura and W. Takahashi, Convergence theorems for generalized projections and maximal monotone operators in Banach spaces, Abstract and Applied Analysis, Vol. 2003, No. 10 (2003), 621--629.
  2. T. Ibaraki and W. Takahashi, Weak and strong convergence theorems for new resolvents of maximal monotone operators in Banach spaces, Advanced in Mathematical Economics, Vol. 10 (2007), 51--64.
  3. T. Ibaraki and W. Takahashi, Weak convergence theorem for new nonexpansive mappings in Banach spaces and its applications, Taiwanese Journal of Mathematics, Vol. 11, No. 3 (2007), 929--944.
  4. T. Ibaraki and W. Takahashi, A new projection and convergence theorems for the projections in Banach spaces, Journal of Approximation Theory, Vol. 149, Iss. 1 (2007), 1--14.
  5. T. Ibaraki and W. Takahashi, Weak convergence theorems for finding common elements of finite sets in Banach spaces, Scientiae Mathematicae Japonicae, Vol. 66, No. 3 (2007), 303--312.
  6. T. Ibaraki and W. Takahashi, Block iterative methods for a finite family of generalized nonexpansive mappings in Banach spaces, Numerical Functional Analysis and Optimization, Vol. 29, Iss. 3&4 (2008), 362--375.
  7. T. Ibaraki and W. Takahashi, Strong convergence theorem by a hybrid method for generalized resolvents of maximal monotone operators in Banach spaces, Journal of Nonlinear and Convex Analysis, Vol. 9, No. 1 (2008), 71--81.
  8. T. Ibaraki and W. Takahashi, Weak convergence theorems for a finite family of generalized nonexpansive mappings in Banach spaces and applications, Indian Journal of Mathematics, Vol. 50, No. 2 (2008), 415--428.
  9. T. Ibaraki and W. Takahashi, Fixed point theorems for nonlinear mappings of nonexpansive type in Banach spaces, Journal of Nonlinear and Convex Analysis, Vol. 10, No. 1 (2009), 21--32.
  10. T. Honda, T. Ibaraki and W. Takahashi, Duality theorems and convergence theorems for nonlinear mappings in Banach spaces and applications, International Journal of Mathematics and Statistics, Vol. 6, No. S10 (2010), 46--64.
  11. T. Ibaraki and Y. Kimura, Convergence of nonlinear projections and shrinking projection methods for common fixed point problems, Journal of Nonlinear Analysis and Optimization: Theory & Applications, Vol. 2, Iss. 1 (2011), 209--222.
  12. T. Ibaraki and W. Takahashi, Strong convergence theorems for finite generalized nonexpansive mappings in Banach spaces, Journal of Nonlinear and Convex Analysis, Vol. 12, No. 3 (2011), 407--428.
  13. T. Ibaraki, Weak convergence theorems for firmly generalized nonexpansive mappings with Bregman distances in Banach spaces, Journal of Nonlinear and Convex Analysis, Vol. 16, No. 11 (2015), 2207--2219.
  14. T. Ibaraki, Approximation of a zero point of monotone operators with nonsummable errors, Fixed Point Theory and Applications, 2016:48 (2016), 14 pages.
  15. T. Ibaraki and Y. Kimura, Approximation of a fixed point of generalized firmly nonexpansive mappings with nonsummable errors, Linear and Nonlinear Analysis, Vol. 2, No. 2 (2016), 301--310.
  16. T. Ibaraki, Iterative approximation with errors of zero points of maximal monotone operators in a Hilbert space, Linear and Nonlinear Analysis, Vol. 3, No. 2 (2017), 171--178.
  17. T. Ibaraki, Iterative approximation with errors of zero points of monotone operators in a Banach space, Yokohama Mathematical Journal, Vol. 63 (2017), 91--109.
  18. T. Ibaraki and S. Kajiba, A shrinking projection method for generalized firmly nonexpansive mappings with nonsummable errors, Josai Mathematical Monographs, Vol.11 (2018), 105--120.
  19. T. Ibaraki and Y. Takeuchi, New convergence theorems for common fixed points of a wide range of nonlinear mappings, Journal of Nonlinear Analysis and Optimization: Theory & Applications, Vol.9, No.2 (2018), 95--114.
  20. T. Ibaraki and Y. Takeuchi, A mean convergence theorem finding a common attractive point of two nonlinear mappings, Yokohama Mathematical Journal, Vol. 66 (2020), 61--77.
  21. T. Ibaraki, S. Kajiba and Y. Takeuchi, A weak convergence theorem for common fixed points of two nonlinear mappings in Hilbert spaces, Abstract and Applied Analysis, Vol. 2022 (2022), Article ID 9568060, 9 pages.
  22. T. Ibaraki and S. Saejung, On shrinking projection method for cutter type mappings with nonsummable errors, Journal of Inequalities and Applications, Vol. 2023 (2023), Article NO 92, 20 pages.
  23. T. Ibaraki, Approximation of the value of the resolvent of a maximal monotone operator in a Banach space, Journal of Convex Analysis, Vol. 31, No. 1 (2024), 131--138.
  24. T. Ibaraki, S. Kajiba and Y. Takeuchi, A strong convergence theorem for common fixed points of two nonlinear mappings in Hilbert spaces, Yokohama Mathematical Journal, Vol. 70 (2024), 167--181.

Proceedings (refereed)

  1. T. Ibaraki and W. Takahashi, Convergence of regularized solutions of ill-posed problem with monotone operators in a Banach space, Proceedings of the Third International Conference on Nonlinear Analysis and Convex Analysis, Yokohama Publishers, 2004, 97--106.
  2. T. Ibaraki and W. Takahashi, Mosco convergence of sequences of retracts of four nonlinear projections in Banach spaces, Proceedings of the Fourth International Conference on Nonlinear Analysis and Convex Analysis, Yokohama Publishers, 2007, 139--147.
  3. T. Ibaraki and W. Takahashi, Generalized nonexpansive retracts and convergence theorem for generalized resolvents in a Banach space, Proceedings of the Eighth International Conference on Fixed Point theory and its Applications, Yokohama Publishers, 2008, 83--93.
  4. T. Ibaraki and W. Takahashi, Strong convergence theorems for a finite family of nonlinear operators of firmly nonexpansive type in Banach spaces, Proceedings of the Fifth International Conference on Nonlinear Analysis and Convex Analysis, Yokohama Publishers, 2009, 49--62.
  5. T. Ibaraki and W. Takahashi, Weak and strong convergence theorems for a countable family of firmly generalized nonexpansive mappings in Banach spaces and applications, Proceedings of the Asian Conference on Nonlinear Analysis and Optimization, Yokohama Publishers, 2009, 45--62.
  6. C. Jaiboon, P. Kumam, U. W. Humphries and T. Ibaraki, Weak and strong convergence theorems by an extragradient method for variational inequality, equilibrium and fixed point problems, Proceedings of the Asian Conference on Nonlinear Analysis and Optimization, Yokohama Publishers, 2009, 97--116.
  7. T. Ibaraki and W. Takahashi, Generalized nonexpansive mappings and a proximal-type algorithm in Banach spaces, Nonlinear Analysis and Optimization I: Nonlinear Analysis, Contemporary Mathematics, Vol. 513, Amer. Math. Soc., Providence, RI, 2010, 169--180.
  8. T. Ibaraki and W. Takahashi, Strong convergence theorems by two hybrid methods for quilibrium problems and feasibility problems in Banach spaces, Proceedings of the 9th International Conference on Fixed Point Theory and its Applications, Yokohama Publishers, 2010, 77--91.
  9. T. Ibaraki, Strong convergence theorems for zero point problems and equilibrium problems in a Banach space, Proceedings of the 7th International Conference on Nonlinear Analysis and Convex Analysis I, Yokohama Publishers, 2013, 115--126.
  10. T. Ibaraki, Weak convergence theorems for Bregman generalized nonexpansive mappings in Banach spaces, Proceedings of the 4th International Symposium on Banach and Function Spaces IV, Yokohama Publishers, 2014, 289--302.
  11. T. Ibaraki, Strong convergence to common fixed points of families of generalized nonexpansive mappings in Banach spaces, Proceedings of the 9th International Conference on Nonlinear Analysis and Convex Analysis, Yokohama Publishers, 2016, 143--161.
  12. 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, Springer Proceedings in Mathematics & Statistics, Vol. 327, Springer Singapore, 2020, 185--196.

Oral Presentations

  1. T. Ibaraki and W. Takahashi, Convergence of regularized solutions of ill-posed problem with monotone operators in a Banach space, The Second International Conference on Nonlinear Analysis and Convex Analysis, Hirosaki University, Hirosaki, Japan, July 29 - August 2, 2001.
  2. T. Ibaraki, Regularization methods for ill-posed problems with monotone operators in Banach spaces, The Third International Conference on Nonlinear Analysis and Convex Analysis, Tokyo Institute of Technology, Tokyo, Japan, August 25 - August 29, 2003.
  3. T. Ibaraki and W. Takahashi, Convergence theorems for generalized nonexpansive mappings in Banach spaces, The Fourth International Conference on Nonlinear Analysis and Convex Analysis, Okinawa Convention Center, Okinawa, Japan, June 30 - July 4, 2005.
  4. T. Ibaraki and W. Takahashi, Mosco convergence of sequences of retracts of four nonlinear projections in Banach spaces, International Symposium on Nonlinear Analysis and Convex Analysis 2006, National Sun Yat-sen University, Kaohsiung, Taiwan, October 27 - October 29, 2006.
  5. T. Ibaraki and W. Takahashi, Weak and strong convergence theorems for new resolvents of maximal monotone operators in Banach spaces, The Fifth International Conference on Nonlinear Analysis and Convex Analysis, National Tsing-Hua University, Hsinchu, Taiwan, May 31 - June 4, 2007.
  6. T. Ibaraki and W. Takahashi, Weak convergence theorem for new nonexpansive mappings in Banach spaces and its applications, The 8th International Conference on Fixed Point Theory and its Applications, Chiang Mai University, Chiang Mai, Thailand, July 16 - July 22, 2007.
  7. T. Ibaraki and W. Takahashi, Strong convergence of a proximal-type algorithm by the shrinking projection method in a Banach space, Asian Conference on Nonlinear Analysis and Optimization, Kunibiki Messe, Matsue, Japan, September 14 - September 17, 2008.
  8. T. Ibaraki and W. Takahashi, A strong convergence theorem for generalized nonexpansive mappings in a Banach space, The Sixth International Conference on Nonlinear Analysis and Convex Analysis, Tokyo Institute of Technology, Tokyo, Japan, March 27 - March 31, 2009.
  9. T. Ibaraki, Strong convergence theorems for generalized nonexpansive mappings in Banach spaces and applications, The Ninth International Conference on Fixed Point Theory and its Applications, National Changhua University of Education, Changhua, Taiwan, July 16 - July 22, 2009.
  10. T. Ibaraki, Fixed point theorems for nonlinear mappings of nonexpansive type in Banach spaces, 2009 Workshop on Nonlinear Analysis and Optimization, National Taiwan Normal University, Taipei, Taiwan, November 25 - November 27, 2009. (invited)
  11. T. Ibaraki, Fixed point theorems for generalized nonexpansive type mappings in Banach spaces and applications, The Second Asian Conference on Nonlinear Analysis and Optimization, Royal Paradise Hotel & Spa, Phuket, Thailand, September 9 - September 12, 2010.
  12. T. Ibaraki, A weak convergence theorem for nonlinear mappings of firmly nonexpansive type in a Banach space, International Conference on Mathematical Analysis 2010, Tawana Hotel, Bangkok, Thailand, December 7 - December 9, 2010.
  13. T. Ibaraki, Strong convergence theorems for a finite family of generalized nonexpansive mappings in Banach spaces, The Seventh international conference on Nonlinear Analysis and Convex Analysis, Pukyong National University, Busan, Republic of Korea on August 2 - August 5, 2011.
  14. T. Ibaraki, Shrinking projection methods for a family of generalized nonexpansive mappings in a Banach space, The 10th International Conference on Fixed Point Theory and its Applications, Babeş-Bolyai University, Cluj-Napoca, Romania, July 9 - July 15, 2012.
  15. T. Ibaraki, Shrinking projection methods for common fixed point problems in a Banach space, The Fourth International Symposium on Banach and Function Spaces 2012, Kyushu Institute of Technology, Kitakyushu, Japan, September 12 - September 15, 2012.
  16. T. Ibaraki, Shrinking projection methods for zero point problems and equilibrium problems in a Banach space, International Conference Anatolian Communications in Nonlinear Analysis, Abant Izzet Baysal University, Bolu, Turkey, July 3 - July 6, 2013.
  17. T. Ibaraki, A shrinking projection method for a family of mappings of type (P) and its applications, The Eighth International Conference on Nonlinear Analysis and Convex Analysis, Hirosaki University, Hirosaki, Japan, August 2 - August 6, 2013.
  18. T. Ibaraki, Strong convergence theorems for zero point problems in a Banach space and its applications, The International Conference on Nonlinear Analysis and Optimization, National Sun Yat-sen University, Kaohsiung, Taiwan, December 20 - December 22, 2013. (invited)
  19. T. Ibaraki, Weak convergence theorems for nonlinear mappings of generalized nonexpansive type in a Banach space, ICM Satellite Conference 2014: The Fourth Asian Conference on Nonlinear Analysis and Optimization, National Taiwan Normal University, Taipei, Taiwan, August 5- August 9, 2014.
  20. T. Ibaraki, Weak convergence theorems for Bregman firmly generalized nonexpansive mappings in Banach spaces, The 9th International Conference on Nonlinear Analysis and Convex Analysis, Rimkok Resort Hotel, Chiang Rai, Thailand, January 21-25, 2015.
  21. T. Ibaraki, Approximation of a zero point of maximal monotone operators with errors in a Hilbert space, The 11th International Conference on Fixed Point Theory and Its Applications, Galatasaray University, Istanbul, Turkey, July 20-24, 2015.
  22. T. Ibaraki, Shrinking projection methods with error for zero point problems in a Hilbet space, The Fifth International Symposium on BANACH and FUNCTION SPACES 2015, Kyushu Institute of Technology, Kitakyushu, JAPAN, September 2-6, 2015.
  23. T. Ibaraki, Iterative schemes with errors for fixed point problems in Banach spaces, The 5th Asian conference on Nonlinear Analysis and Optimization, Toki Messe, Niigata, Japan, August 1-6, 2016.
  24. T. Ibaraki, S. Kajiba and Y. Kimura, Approximation of a common fixed point of two nonlinear mappings with nonsummable errors in a Banach space, The 12th International Conference on Fixed Point Theory and Its Applications, Harbourview Function Centre, Newcastle, New South Wales, Australia, July 24-28, 2017.
  25. T. Ibaraki, Iterative schemes with errors for zero point problems in a Banach space, The 12th International Conference on Fixed Point Theory and Its Applications, Harbourview Function CentreNewcastle, New South Wales, Australia, July 24-28, 2017.
  26. T. Ibaraki, A shrinking projection method for nonlinear mappings of nonexpansive type with nonsummable errors, The 6th Asian conference on Nonlinear Analysis and Optimization, Okinawa Institute of Science and Technology Graduate University, Okinawa, Japan, November 5-9, 2018.(invited)
  27. T. Ibaraki, Weak and Strong convergence theorems for common fixed points of a family of nonlinear mappings, The 13th International Conference on Fixed Point Theory and Its Applications, HeNan Normal University, HeNan, China, July 9-13, 2019.
  28. T. Ibaraki, Weak and strong convergence theorems for common fixed points of nonlinear mappings in a Hilbert space, International Conference on Mathematical Analysis and Its Applications South Asian University, New Delhi, India, December 14-16, 2019. (invited)
  29. T. Ibaraki, Fixed point theorems for a family of λ-hybrid mappings in a Hilbert space, The Third International Workshop on Nonlinear Analysis and Applications, Faculty of Science and Mathematics, University of Niš, Serbia (Online), October 13-16, 2021.
  30. T. Ibaraki, A common attractive point theorem for two commutative nonlinear mappings, The 14th International Conference on Fixed Point Theory and its Applications, Transilvania University of Brasov, Brasov, Romania, July 11-14, 2023. (invited)
  31. T. Ibaraki, Existence and convergence theorems for a family of λ-hybrid mappings, The 11th Asian Conference on Fixed Point Theory and Optimization 2023, Pattaya, Chonburi, Thailand, August 2-5, 2023.
  32. T. Ibaraki, S. Kajiba and Y. Takeuchi, A weak convergence theorem for common fixed points of two nonlinear mappings in Hilbert spaces, The 11th Asian Conference on Fixed Point Theory and Optimization 2023, Pattaya, Chonburi, Thailand, August 2-5, 2023.
  33. T. Ibaraki, S. Kajiba and R. Nakano, A shrinking projection method with allowable range for zero point problems in a Hilbert space, The 11th Asian Conference on Fixed Point Theory and Optimization 2023, Pattaya, Chonburi, Thailand, August 2-5, 2023.
  34. T. Ibaraki, Convergence theorems for the resolvent of a maximal monotone operator in a Banach space, The 4th International Conference and Workshop on Applied Nonlinear Analysis, Bangsaen Heritage Hotel, Chonburi, Thailand, August 6-8, 2024. (invited)
  35. T. Ibaraki, S. Kajiba and Y. Takeuchi, A strong convergence theorem for common fixed points of two nonlinear mappings in a Hilbert space, The 5th International Congress on Natural Sciences with Sisterhood Universities, Niigata University, Niigata, Japan, September 26-28, 2024.
  36. T. Ibaraki, Weak and strong convergence theorems for common fixed points of two nonlinear mappings in Hilbert spaces, The 6th International Workshop on Nonlinear Analysis and Applications, University of Belgrade, Belgrade, Serbia, November 13-15, 2024.
  37. T. Ibaraki, Shrinking projection methods for fixed point problems and its applications, International Seminar on Mathematical and Computational Methods in Science and Engineering, Mangalayatan University, Aligarh, India, May 14-15, 2025. May 14-15, 2025. (invited)
  38. T. Ibaraki, Shrinking projection methods for zero point problems, International Conference on Recent Advances in Pure and Applied Mathematics, Meerut Institute of Technology, Meerut, India, May 16-17, 2025. (invited)

Degree Thesis

  1. T. Ibaraki, Convergence Theorems for Nonlinear Projections and Nonlinear Mappings of Nonexpansive Type in Banach Spaces, Doctor Thesis, Tokyo Institute of Technology, September, 2008.