Hybrid projection method for generalized mixed equilibrium problem and fixed point problem of infinite family of asymptotically quasi-phi-nonexpansive mappings in Banach spaces

作者：Yang Li^*; Zhao Fuhai; Kim Jong Kyu

来源：Applied Mathematics and Computation, 2012, 218(10): 6072-6082.

DOI：10.1016/j.amc.2011.11.091

• Asymptotically quasi-phi-nonexpansive mapping
• Generalized mixed equilibrium problem
• Uniformly smooth
• Strictly convex
• Kadec-Klee property

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-phi-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.

• 出版日期2012-1-15
• 单位西南大学