Hybrid projection method for generalized mixed equilibrium problem and fixed point problem of infinite family of asymptotically quasi-?-nonexpansive mappings in Banach spaces |
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| Authors: | Li Yang Fuhai Zhao |
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| Institution: | a School of Science, South West University of Science and Technology, Mianyang, Sichuan 621010, PR China
b Department of Mathematics Education, Kyungnam University, Masan 631-701, Korea |
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| Abstract: | In this paper, we consider a hybrid projection method for finding a common element in the set of fixed points of a infinite family of asymptotically quasi-?-nonexpansive mappings and in the set of solutions of a generalized mixed equilibrium problem. Some strong convergence theorems of common elements are established in a uniformly smooth and strictly convex Banach space which has the Kadec-Klee property. The results presented in the paper improve and extend some recent results. |
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| Keywords: | Asymptotically quasi-?- nonexpansive mapping Generalized mixed equilibrium problem Uniformly smooth Strictly convex Kadec-Klee property |
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