Approximation of Fixed Points for a Class of Generalized Nonexpansive Mappings in Banach Spaces

被引：0
|
作者：
Ullah, Kifayat [1 ]
Hussain, Nawab [2 ]
Ahmad, Junaid [1 ]
Arshad, Muhammad [3 ]
机构：
[1] Univ Sci & Technol, Dept Math, Bannu 28100, Pakistan
[2] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
[3] Int Islamic Univ, Dept Math, H-10 Islamabad, Islamabad 44000, Pakistan
来源：
THAI JOURNAL OF MATHEMATICS | 2020年 / 18卷 / 03期
关键词：
Banach space; K iteration; condition B-gamma; B-mu; weak convergence; strong convergence; STRONG-CONVERGENCE; MULTIVALUED MAPPINGS; ITERATION PROCESS; FAMILY; WEAK;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Recently, Patir et al. [B. Patir, N. Goswami, V.N. Mishra, Some results on fixed point theory for a class of generalized nonexpansive mappings, Fixed Point Theory Appl. (2018)] introduced new class of generalized nonexpansive mappings which is a new condition on mappings called condition B-gamma,B-mu. They studied some existences and convergence theorems for such class of mappings. This new class of mappings is important because it contains the class of Suzuki mappings and hence the class of nonexpansive mappings. In this paper, we further studied this new class of mappings and as a result some new convergence theorems are established using up-to-date iteration process of Hussain et al. [N. Hussain, K. Ullah, M. Arshad, Fixed point approximation of Suzuki generalized nonexpansive mappings via new faster iteration process, J. Nonlinear Convex Anal. 19 (8) (2018) 1383-1393].
引用
收藏
页码：1149 / 1159
页数：11
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