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

Authors

  • S. Chaiyasil 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

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.

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Published

2011-12-21

How to Cite

Chaiyasil, S., & Suantai, S. (2011). APPROXIMATION METHOD FOR GENERALIZED MIXED EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS FOR A COUNTABLE FAMILY OF NONEXPANSIVE MAPPINGS. Journal of Nonlinear Analysis and Optimization: Theory & Applications, 2(2), 337-353. Retrieved from http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/41

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Section

Research Article