CONVERGENCE ANALYSIS OF A MONOTONE PROJECTION ALGORITHM IN REFLEXIVE BANACH SPACES

doi:10.1016/S0252-9602(17)30016-4

Abstract

Abstract:

In this article, fixed points of generalized asymptotically quasi-φ-nonexpansive mappings and equilibrium problems are investigated based on a monotone projection algorithm. Strong convergence theorems are established without the aid of compactness in the framework of reflexive Banach spaces.

Key words: Asymptotically quasi-φ-nonexpansive mapping, Banach space, equilibrium problem, fixed point, Generalized projection

Xiaolong QIN, Sun Young CHO. CONVERGENCE ANALYSIS OF A MONOTONE PROJECTION ALGORITHM IN REFLEXIVE BANACH SPACES[J].Acta mathematica scientia,Series B, 2017, 37(2): 488-502.

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