APPROXIMATION METHOD FOR GENERALIZED MIXED EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS FOR A COUNTABLE FAMILY OF NONEXPANSIVE MAPPINGS

Authors

  • SUTEE CHAIYASIL Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand
  • SUTHEP SUANTAI Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand

Keywords:

Generalized mixed equilibrium problems, Nonexpansive mapping, K-mapping, Strong convergence, Fixed point

Abstract

In this research, we introduce an iterative scheme by using the concept ofKmappingfor finding a common element of the set of fixed points of an infinite family of nonexpansive mappings and the set of solution of a generalized mixed equilibrium problem in a Hilbert space. Then, we prove strong convergence of the purposed iterative algorithm toa common element of the two sets. Moreover, we also give a numerical result of the studied method.

Additional Files

Published

12/21/2011

Issue

Vol. 2 No. 2 (2011): JNAO

Section

Research Articles

License

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

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