Work

Common Solutions of an Iterative Scheme for Variational Inclusions, Equilibrium Problems, and Fixed Point Problems

Year: 2008

Type: article

Abstract: We introduce an iterative scheme by the viscosity approximate method for finding a common element of the set of solutions of a variational inclusion with set-valued maximal monotone mapping and inverse strongly monotone mappings, the set of solutions of an equilibrium problem, and the set of fixed points of a nonexpansive mapping. We obtain a strong convergence theorem for the sequences generated by these processes in Hilbert spaces. The results in this paper unify, extend, and improve some well-known results in the literature.

Source: Journal of Inequalities and Applications

DOI: 10.1155/2008/720371

Authors: Jian-Wen Peng, Yan Wang, David S. Shyu, Jen-Chih Yao

Institutions: Chongqing Normal University, National Sun Yat-sen University

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

Funders: National Natural Science Foundation of China, National Science Council