CONVERGENCE OF NONLINEAR PROJECTIONS AND SHRINKING PROJECTION METHODS FOR COMMON FIXED POINT PROBLEMS

Authors

  • T. Ibaraki Information and Communications Headquarters, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, Aichi 464- 8601, Japan
  • Y. Kimura Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, O-okayama, Meguro-ku, Tokyo, 152-8552, Japan

Abstract

In this paper, we first study some properties of Mosco convergence for a sequence of nonempty sunny generalized nonexpansive retracts in Banach spaces. Next, motivated by the result of Kimura and Takahashi and that of Plubtiengand Ungchittrakool, we prove a strong convergence theorem for finding a common fixed point of generalized nonexpansive mappings in Banach spaces by using the shrinking projection method

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Published

2011-12-21

How to Cite

Ibaraki, T., & Kimura, Y. (2011). CONVERGENCE OF NONLINEAR PROJECTIONS AND SHRINKING PROJECTION METHODS FOR COMMON FIXED POINT PROBLEMS. Journal of Nonlinear Analysis and Optimization: Theory & Applications, 2(1), 225-238. Retrieved from http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/29

Issue

Section

Research Article