Strong convergence theorem for total quasi-φ-asymptotically nonexpansive mappings in a Banach space

被引：2
|
作者：
Saewan, Siwaporn [1 ]
机构：
[1] Thaksin Univ TSU, Fac Sci, Dept Math & Stat, Paprayom 93110, Phatthalung, Thailand
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
关键词：
total quasi-phi-asymptotically nonexpansive multi-valued mappings; hybrid scheme; equilibrium problem; variational inequality problems; inverse-strongly monotone operator; FIXED-POINT PROBLEMS; EQUILIBRIUM PROBLEMS; WEAK-CONVERGENCE; VARIATIONAL-INEQUALITIES; PROJECTION ALGORITHMS; MONOTONE-OPERATORS;
D O I：
10.1186/1687-1812-2013-297
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove strong convergence theorems to a point which is a fixed point of multi-valued mappings, a zero of an alpha-inverse-strongly monotone operator and a solution of the equilibrium problem. Next, we obtain strong convergence theorems to a solution of the variational inequality problem, a fixed point of multi-valued mappings and a solution of the equilibrium problem. The results presented in this paper are improvement and generalization of the previously known results.
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页数：19
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