A Modified Halpern-Type Iterative Method of a System of Equilibrium Problems and a Fixed Point for a Totally Quasi-φ-Asymptotically Nonexpansive Mapping in a Banach Space

被引：1
|
作者：
Kanjanasamranwong, Preedaporn [2 ]
Kumam, Poom [1 ]
Saewan, Siwaporn [2 ]
机构：
[1] KMUTT, Dept Math, Fac Sci, Bangkok 10140, Thailand
[2] Thaksin Univ TSU, Fac Sci, Dept Math & Stat, Pa Phayom 93110, Phatthalung, Thailand
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
关键词：
CONVERGENCE THEOREMS; PROJECTION; ALGORITHM;
D O I：
10.1155/2012/750732
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to introduce the modified Halpern-type iterative method by the generalized f-projection operator for finding a common solution of fixed-point problem of a totally quasi-phi-asymptotically nonexpansive mapping and a system of equilibrium problems in a uniform smooth and strictly convex Banach space with the Kadec-Klee property. Consequently, we prove the strong convergence for a common solution of above two sets. Our result presented in this paper generalize and improve the result of Chang et al., (2012), and some others.
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页数：19
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