Strong convergence of shrinking projection methods for quasi-φ-nonexpansive mappings and equilibrium problems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:234

Article

Qin, Xiaolong³  Cho, Sun Young¹  Kang, Shin Min^1,2 

[1] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea

[2] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea

[3] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China

关键词: Quasi-phi-nonexpansive mapping;    Relatively nonexpansive mapping;    Generalized projection;    Equilibrium problem;   

DOI  :  10.1016/j.cam.2010.01.015

来源: Elsevier

【 摘 要 】

The purpose of this paper is to consider the convergence of a shrinking projection method for a finite family of quasi-phi-nonexpansive mappings and an equilibrium problem. Strong convergence theorems are established in a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee pro petty. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free