Volume no :4, Issue no: 1, August (2010)

Journal of Pure and Applied Mathematics: Advances and Applications

A NEW ITERATIVE METHOD FOR SOLVING A SYSTEM OF GENERALIZED RELAXED COCOERCIVE VARIATIONAL INEQUALITIES IN BANACH SPACES

Author's: Zhao Fu-Hai and Yang Li
Pages: [1] - [13]
Received Date: July 14, 2010
Submitted by:

Abstract

In this paper, a new system of generalized nonlinear relaxed cocoercive variational inequalities problems in the framework of Banach spaces is studied. Using the sunny nonexpansive retraction method, a new three-step iterative scheme for this system is proposed, under suitable conditions, some strong convergence theorems are proved.

Keywords

relaxed cocoercive variational inequalities, q-uniformly smooth space, sunny nonexpansive retraction, normalized duality mapping.