On convergence analysis of an iterative algorithm for finding common solution of generalized mixed equilibrium problems and fixed point problems
Daya Ram Sahu, Ngai‐Ching Wong, Jen‐Chih Yao · Mathematical Inequalities & Applications · 2009
The purpose of this paper is to investigate nonemptyness of the solution set for generalized mixed quasi-equilibrium problems and investigate the asymptotic behavior of an iterative algorithm for finding common solution of generalized mixed equilibrium problems and fixed point problems of asymptotically nonexpansive mappings under mild conditions of iteration parameters. Our results improve and extend the recent known results of equilibrium problems, variational inequalities and fixed point theory.