Existence and convergence results for a class of non-expansive type mappings in Banach spaces

被引：4

作者：

Bera, Ashis ^{[1
]}

Chanda, Ankush ^{[2
]}

Dey, Lakshmi Kanta ^{[3
]}

Garai, Hiranmoy ^{[4
]}

Rakocevic, Vladimir ^{[5
]}

机构：

[1] Vellore Inst Technol Chennai, Dept Math, Chennai, India

[2] Vellore Inst Technol, Dept Math, Vellore, India

[3] Natl Inst Technol Durgapur, Dept Math, Durgapur, India

[4] Siliguri Govt Polytech, Dept Sci & Humanities, Siliguri, India

[5] Univ Nis, Fac Sci & Math, Dept Math, Nish 18000, Serbia

来源：

FILOMAT | 2023年 / 37卷 / 04期

关键词：

Non-expansive mappings; common fixed points; uniformly convex Banach spaces; demiclosedness; weak convergence; Opial?s property; Fre?chet differential norm; FIXED-POINT THEOREMS; GENERALIZED NONEXPANSIVE-MAPPINGS; ITERATIVE PROCESSES; WEAK; ERRORS; APPROXIMATION; SCHEME; MANN;

D O I：

10.2298/FIL2304187B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we concentrate on common fixed points of a pair of generalized non-expansive mappings, viz., generalized alpha-Reich-Suzuki non-expansive mappings. In this sequel, we introduce the three step Abbas-Nazir iterative algorithm for a pair of mappings. Then we obtain some results related to weak and strong convergence of sequences, satisfying this iterative algorithm, to obtain the common fixed points of two generalized alpha-Reich-Suzuki non-expansive mappings. Finally, we compare the convergence rate of our iteration technique to that of some well-known iteration techniques by some constructive numerical examples.

引用

页码：1187 / 1206

页数：20

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