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A system of mixed equilibrium problems, fixed point problems of strictly pseudo-contractive mappings and nonexpansive semi-groups |
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| Authors: | Shih-sen Chang Chi Kin Chan |
| Institution: | a Department of Mathematics, Yibin University, Yibin, Sichuan 644007, PR China b Department of Applied Mathematics, The Hong Kong university, Hong Kong c Department of Mathematics, South West University of Science and Technology, Mianyang, Sichuan 621002, PR China |
| Abstract: | The purpose of this paper is to introduce an iterative algorithm for finding a common element of the set of solutions for a system of mixed equilibrium problems, the set of common fixed points for an infinite family of strictly pseudo-contractive mappings and the set of common fixed points for nonexpansive semi-groups in Hilbert space. Under suitable conditions some strong convergence theorem are proved. The results presented in the paper extend and improve some recent results. |
| Keywords: | A system of mixed equilibrium problem Fixed point An infinite family of strictly pseudocontractive mappings Nonexpansive mappings _method=retrieve& _eid=1-s2 0-S0096300309011175& _mathId=si1 gif& _pii=S0096300309011175& _issn=00963003& _acct=C000054348& _version=1& _userid=3837164& md5=4cf160951cb6649933b4507712361e17')" style="cursor:pointer η-Strongly convex functions" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">η-Strongly convex functions |
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