Hybrid projection method for generalized mixed equilibrium problems, variational inequality problems, and fixed point problems in Banach spaces

WANG Ya-Qin;ZENG Liu-Chuan

doi:10.1007/s10483-011-1411-x

2011 , Vol. 2 >Issue 32: 251 - 264

DOI: https://doi.org/10.1007/s10483-011-1411-x

Articles

Hybrid projection method for generalized mixed equilibrium problems, variational inequality problems, and fixed point problems in Banach spaces

Expand

1. Department of Mathematics, Shaoxing University, Shaoxing 312000, Zhejiang Province, P. R. China;
2. Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China

Received date: 2010-10-06

Online published: 2011-01-24

Fold

Abstract

A new hybrid projection iterative scheme is introduced to approximate a common element of the solution set of a generalized mixed equilibrium problem, the solution set of a variational inequality problem, and the set of fixed points of a relatively weak nonexpansive mapping in the Banach spaces. The obtained results generalize and improve the recent results announced by many other authors.

Cite this article

WANG Ya-Qin;ZENG Liu-Chuan . Hybrid projection method for generalized mixed equilibrium problems, variational inequality problems, and fixed point problems in Banach spaces[J]. Applied Mathematics and Mechanics, 2011 , 2(32) : 251 -264 . DOI: 10.1007/s10483-011-1411-x

Options

Outlines

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals

模态框（Modal）标题

Abstract

Cite this article