Open Access

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

Journal of Inequalities and Applications20082008:720371

DOI: 10.1155/2008/720371

Received: 24 October 2008

Accepted: 6 December 2008

Published: 21 December 2008


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.

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Authors’ Affiliations

College of Mathematics and Computer Science, Chongqing Normal University
Department of Finance, National Sun Yat-Sen University
Department of Applied Mathematics, National Sun Yat-Sen University


© Jian-Wen Peng et al. 2008

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