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

Authors

  • TAKANORI IBARAKI Information and Communications Headquarters, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, Aichi 464- 8601, Japan
  • YASUNORI KIMURA Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, O-okayama, Meguro-ku, Tokyo, 152-8552, Japan

Keywords:

Shrinking projection method, Sunny generalized nonexpansive retraction, Generalized nonexpansive, Mosco convergence, Fixed point

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

Additional Files

Published

12/21/2011

Issue

Vol. 2 No. 1 (2011): JNAO

Section

Research Articles

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Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.