A block hybrid method for solving generalized equilibrium problems and convex feasibility problem

被引：0
|
作者：
Shih-sen Chang
H. W. Joseph Lee
Chi Kin Chan
机构：
[1] Yunnan University of Finance and Economics,Department of Mathematics
[2] The Hong Kong Polytechnic University,Department of Applied Mathematics
来源：
Advances in Computational Mathematics | 2013年 / 38卷
关键词：
Block iterative algorithm; Convex feasibility problem; Generalized equilibrium problem; Total quasi-; -asymptotically nonexpansive mapping; Quasi-; -nonexpansive mapping; Relatively nonexpansive mapping; Generalized projection; 47J05; 47H09; 49J25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A block hybrid projection algorithm for solving the convex feasibility problem and the generalized equilibrium problems for an infinite family of total quasi-ϕ-asymptotically nonexpansive mappings is introduced. Under suitable conditions some strong convergence theorems are established in uniformly smooth and strictly convex Banach spaces with Kadec-Klee property. The results presented in the paper improve and extend some recent results.
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页码：563 / 580
页数：17
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