平衡问题和不动点问题的公共元的混杂算法

Abstract

Abstract:

In strictly convex and uniformly smooth Banach spaces with the K-K property, a new hybrid projection method is proposed to approximate common elements for the set of common fixed points of two quasi-Φ-nonexpansive mappings and the set of solutions of an equilibrium problem. A strong convergence theorem of the common elements is proved by using generalized projection operator, the K-K property and other analysis techniques. The results of this paper improve and extend recent some relative results.

Key words: Hybrid algorithms, Equilibrium problem, Quasi-Φ-nonexpansive mapping.

CLC Number:

47H05

GAO Xing-Hui, ZHOU Hai-Yun, GAO Gai-Liang. Hybrid Algorithms of Common Elements for Equilibrium Problems and Fixed Point Problems[J].Acta mathematica scientia,Series A, 2011, 31(3): 720-728.

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Hybrid Algorithms of Common Elements for Equilibrium Problems and Fixed Point Problems

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