STRONG CONVERGENCE THEOREMS FOR STRONGLY RELATIVELY NONEXPANSIVE SEQUENCES AND APPLICATIONS

Authors

  • K. Aoyama Department of Economics, Chiba University, Yayoi-cho, Inage-ku, Chiba-shi, Chiba 263-8522, Japan
  • Y. Kimura Department of Information Science, Toho University, Miyama, Funabashi-shi, Chiba 274-8510, Japan
  • F. Kohsaka Department of Computer Science and Intelligent Systems, Oita University, Dannoharu, Oita-shi, Oita 870-1192, Japan

Abstract

The aim of this paper is to establish strong convergence theorems for a strongly relatively nonexpansive sequence in a smooth and uniformly convex Banach space. Then we employ our results to approximate solutions of the zero point problem for a maximal monotone operator and the fixed point problem for a relatively nonexpansive mapping.

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Published

2012-03-31

How to Cite

Aoyama, K., Kimura, Y., & Kohsaka, F. (2012). STRONG CONVERGENCE THEOREMS FOR STRONGLY RELATIVELY NONEXPANSIVE SEQUENCES AND APPLICATIONS. Journal of Nonlinear Analysis and Optimization: Theory & Applications, 3(1), 67-77. Retrieved from http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/129

Issue

Section

Research Article