Iterative schemes for approximating solution of nonlinear operators in Banach spaces

被引：0

作者：

Saewan, Siwaporn ^{[1
]}

Kanjanasamranwong, Preedaporn ^{[1
]}

Kumam, Poom ^{[2
]}

Cho, Yeol Je ^{[3
,4
]}

机构：

[1] Thaksin Univ, Fac Sci, Dept Math & Stat, Phatthalung 93110, Thailand

[2] King Mongkuts Univ Technol Thonburi, Dept Math, Fac Sci, Bangkok 10140, Thailand

[3] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[4] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

基金：

新加坡国家研究基金会;

关键词：

generalized f-projection operators; system of generalized Ky Fan's inequalities; totally quasi-phi-asymptotically nonexpansive mapping; variational inequalities; maximal monotone operators; RELATIVELY NONEXPANSIVE-MAPPINGS; GENERALIZED F-PROJECTION; COMMON FIXED-POINTS; CONVERGENCE THEOREMS; EQUILIBRIUM PROBLEMS; COUNTABLE FAMILY;

D O I：

10.1186/1687-1812-2013-199

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 present a new modified Halpern-Mann type iterative scheme by using the generalized f-projection operator for finding a common element in the set of zeroes of a system of maximal monotone operators, the set of fixed points of a totally quasi-phi-asymptotically nonexpansive mapping and the set of solutions of a system of generalized Ky Fan's inequalities in a uniformly smooth and strictly convex Banach space with the Kadec-Klee property. Furthermore, we show that our proposed iterative scheme converges strongly to a common element of the sets mentioned above.

引用

页数：23

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