An iterative method for finding common solutions of equilibrium and fixed point problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:344

Article

Colao, Vittorio²  Marino, Giuseppe²  Xu, Hong-Kun¹ 

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

[2] Univ Calabria, Dipartimento Matemat, I-87036 Arcavacata Di Rende, CS, Italy

关键词: equilibrium problem;    fixed point;    nonexpansive mapping;    variational inequality;    iterative algorithm;   

DOI  :  10.1016/j.jmaa.2008.02.041

来源: Elsevier

【 摘 要 】

We introduce an iterative method for finding a common element of the set of solutions of an equilibrium problem and of the set of fixed points of a finite family of nonexpansive mappings in a Hilbert space. We prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free