文章基本信息

标题：A New Hybrid Algorithm for a Pair of Quasi-<svg style="vertical-align:-3.294pt;width:14.5875px;" id="M1" height="19.200001" version="1.1" viewBox="0 0 14.5875 19.200001" width="14.5875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.2)"> <g transform="translate(72,-56.64)"> <text transform="matrix(1,0,0,-1,-71.95,59.97)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝜙</tspan> </text> </g> </g> </svg>-Asymptotically Nonexpansive Mappings and Generalized Mixed Equilibrium Problems in Banach Spaces
本地全文：下载
作者：Jinhua Zhu ; Shih-Sen Chang
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2011
卷号：2011
DOI：10.1155/2011/956852
出版社：Hindawi Publishing Corporation
摘要：The purpose of this paper is, by using a new hybrid method, to prove a strong convergence theorem for finding a common element of the set of solutions for a generalized mixed equilibrium problem, the set of solutions for a variational inequality problem, and the set of common fixed points for a pair of quasi-𝜙-asymptotically nonexpansive mappings. Under suitable conditions some strong convergence theorems are established in a uniformly smooth and strictly convex Banach space with Kadec-Klee property. The results presented in the paper improve and extend some recent results.