标题:A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family 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">
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<tspan style="font-size: 17.93px; " x="0" y="0">𝜙</tspan>
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</svg>-Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach Space
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:10.1155/2011/106323
出版社:Hindawi Publishing Corporation
摘要:The main purpose of this paper is to introduce a new hybrid iterative scheme for finding a common element of set of solutions for a system of generalized mixed equilibrium problems, set of common fixed points of a family of quasi-𝜙-asymptotically nonexpansive mappings, and null spaces of finite family of 𝛾-inverse strongly monotone mappings in a
2-uniformly convex and uniformly smooth real Banach space. The results presented in the paper improve and extend the corresponding results announced by some authors.