AN ITERATIVE METHOD FOR FINDING COMMON SOLUTIONS OF GENERALIZED MIXED EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS

Authors

  • B. Rodjanadid SCHOOL OF MATHEMATICS, INSTITUTE OF SCIENCE, SURANAREE UNIVERSITY OF TECHNOLOGY, NAKHONRATCHASIMA 30000, THAILAND

Abstract

In this paper, we introduce an iterative method for finding a common element ofthe set of solutions of a generalized mixed equilibrium problem and the set of common fixedpoints of a finite family of nonexpansive mappings in a real Hilbert space. Then, we prove thatthe sequence converges strongly to a common element of the above two sets. Furthermore,we apply our result to prove three new strong convergence theorems in fixed point problems,mixed equilibrium problems, generalized equilibrium problems and equilibrium problems.

Downloads

Published

2011-12-20

How to Cite

Rodjanadid, B. (2011). AN ITERATIVE METHOD FOR FINDING COMMON SOLUTIONS OF GENERALIZED MIXED EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS. Journal of Nonlinear Analysis and Optimization: Theory & Applications, 1(1), 151-167. Retrieved from http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/38

Issue

Section

Research Article