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  • 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"> <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 Obtaining Common Fixed Points in Banach Space
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  • 作者:J. F. Tan ; S. S. 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:10.1155/2011/106323
  • 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.
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