Fixed point theorems on generalized α-nonexpansive multivalued mappings

被引：0

作者：

Sadhu, R. ^{[1
,2
]}

Majee, P. ^{[3
]}

Nahak, C. ^{[1
]}

机构：

[1] Indian Inst Technol Kharagpur, Dept Math, Kharagpur 721302, W Bengal, India

[2] Sreegopal Banerjee Coll, Dept Math, Magra 712148, India

[3] Motilal Nehru Natl Inst Technol, Dept Math, Allahabad 211004, Uttar Pradesh, India

来源：

JOURNAL OF ANALYSIS | 2021年 / 29卷 / 04期

关键词：

Multivalued mapping; Hausdorff distance; Common fixed point; alpha-Nonexpansive mapping; Iterative methods; CONVERGENCE THEOREMS; WEAK;

D O I：

10.1007/s41478-021-00303-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a new class of nonexpansive multivalued mappings, namely, generalized alpha-nonexpansive multivalued mappings are introduced. Some topological properties of the fixed point sets of such mappings are derived. Existence results for common fixed points of a pair of single-valued and multivalued mappings both satisfying the generalized alpha-nonexpansiveness are proved. Also, weak and strong convergence results of some iterative methods are studied in a uniformly convex Banach space for approximating common fixed points of a pair of single-valued and multivalued mappings as well as two multivalued mappings satisfying the generalized alpha-nonexpansiveness.

引用

页码：1165 / 1190

页数：26

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