Approximation of a common minimum-norm fixed point of a finite family of σ-asymptotically quasi-nonexpansive mappings with applications

被引：0

作者：

Pathak, Hemant Kumar ^{[1
]}

Sahu, Vinod Kumar ^{[2
]}

Cho, Yeol Je ^{[3
,4
,5
]}

机构：

[1] Pt Ravishankar Shukla Univ, Sch Studies Math, Raipur 492010, CG, India

[2] Govt VYT PG Autonomous Coll, Dept Math, Durg 491001, CG, India

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

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

[5] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 05期

基金：

新加坡国家研究基金会;

关键词：

Asymptotically quasi-nonexpansive mappings; asymptotically nonexpansive mappings; nonexpansive mappings; minimum-norm fixed point; strong convergence; STRONG-CONVERGENCE; ITERATIVE METHOD;

D O I：

10.22436/jnsa.009.05.112

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use the iterative method proposed by Zegeye and Shahzad [H. Zegeye, N. Shahzed, Fixed Point Theory Appl., 2013 (2013), 12 pages] which converges strongly to the common minimum-norm fixed point of a finite family of sigma-asymptotically quasi-nonexpansive mappings. As consequence, convergence results to a common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings is proved. Our result generalize and improve a recent result of Zegeye and Shahzad [H. Zegeye, N. Shahzed, Fixed Point Theory Appl., 2013 (2013), 12 pages]. In the sequel, we apply our main result to find solution of minimizer of a continuously Frechet-differentiable convex functional which has the minimum norm in Hilbert spaces. (C) 2016 All rights reserved.

引用

页码：3240 / 3254

页数：15

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