Volume no :21, Issue no: 1, May

Journal of Mathematical Sciences: Advances and Applications

ON VARIATIONAL INEQUALITIES AND COMMON FIXED POINT PROBLEMS IN SMOOTH BANACH SPACES

Author's: LIJUAN ZHANG
Pages: [61] - [76]
Received Date: May 28, 2013
Submitted by:

Abstract

The purpose of this paper is to introduce a new iterative scheme for finding a common element of solution set of a new general system of finite variational inequalities for finite different inverse-strongly accretive operators and the common fixed point set of an infinite family of strict pseudocontractive mappings. Strong convergence theorems are established in strictly convex and q-uniformly smooth Banach spaces.

Keywords

inverse-strongly accretive operator, general system of finite variational inequalities, common fixed point, sunny nonexpansive retraction, strict pseudocontractive mapping.