Strong convergence theorems by a new hybrid projection algorithm forequilibrium problems and fixed point problems of three relativelyweak quasi-nonexpansive mappings and a monotonemapping
首发时间:2012-03-21
Abstract:The purpose of this paper is to introduce a new hybrid projection algorithm for finding a common element of the set of common fixed points of three relatively weak quasi -nonexpansive mappings, the set of solutions of an equilibrium problem and a zero of solutions of $lpha-$inverse strongly monotone mapping in the framework of Banach spaces. Moreover, strong convergence theorems to a point which is common fixed point of three relatively weak quasi-nonexpansive mappings, a solution of an equilibrium problem and a solution of a certain variational problem are proved under appropriate conditions.Our results improve and extend the results announced by many others.
keywords: Strong convergence Hybrid projection method Equilibrium problem Monotone mapping Relatively weak quasi-nonexpansive mapping
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