WEAK CONVERGENCE FOR A SEQUENCE OF NONEXPANSIVE MAPPINGS IN BANACH SPACES WITH GAUGE FUNCTIONS

Authors

  • P. Cholamjiak Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
  • S. Suantai Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

Keywords:

Banach space, Common fixed point, Gauge function, Mann-typeiteration

Abstract

We investigate the convergence of Manntypeiteration for a sequence of nonexpansive mappings in the framework of a uniformly convex Banach space having the duality mapping $j_\varphi$, where $\varphi$ is a gauge function on [0,1). Our results improve and extend some well-known results in the literature.

Additional Files

Published

12/21/2011

How to Cite

Cholamjiak, P., & Suantai, S. (2011). WEAK CONVERGENCE FOR A SEQUENCE OF NONEXPANSIVE MAPPINGS IN BANACH SPACES WITH GAUGE FUNCTIONS. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 2(1), 249–254. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/2632

Issue

Vol. 2 No. 1 (2011): JNAO

Section

Research Articles

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Creative Commons License

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