Mosco convergence results for common fixed point problems and generalized equilibrium problems in Banach spaces
Muhammad Aqeel Ahmad Khan, Hafiz Fukhar-ud-din, Abdul Rahim Khan · Fixed Point Theory and Applications · 2014
In this paper, we propose and analyze an explicit type algorithm for finding a common element of the set of solutions of a finite family of generalized equilibrium problems and the set of common fixed points of two countable families of total quasi- φ -asymptotically nonexpansive mappings in a Banach space E . As an application of our result, we suggest a framework for finding a common solution of a finite family of generalized equilibrium problems and common zeros of two finite families of maximal monotone operators on E . MSC: 47H05, 47H10, 47H15, 47J25, 49M05.