Enriched multi-valued nonexpansive mappings in geodesic spaces

被引：5

作者：

Salisu, Sani ^{[1
,2
,3
]}

Kumam, Poom ^{[1
,2
]}

Sriwongsa, Songpon ^{[1
,2
]}

Inuwa, Adamu Yusuf ^{[1
,2
,4
]}

机构：

[1] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Ctr Excellence Theoret & Computat Sci TaCS CoE, 126 Pracha-Uthit Rd,Bang Mod, Bangkok 10140, Thailand

[2] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Dept Math, KMUTT Fixed Point Res Lab, Room SCL 802,Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand

[3] Sule Lamido Univ, Fac Nat & Appl Sci, Dept Math, Kafin Hausa, Jigawa, Nigeria

[4] Bayero Univ, Fac Phys Sci, Dept Math Sci, Kano, Nigeria

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2024年 / 73卷 / 04期

关键词：

Enriched multi-valued contraction; Enriched multi-valued nonexpansive; Equilibrium problem; Fixed point; Hadamard space; Mann iteration; FIXED-POINT THEOREMS; SET-VALUED MAPPINGS; CONVERGENCE THEOREMS; BANACH-SPACES;

D O I：

10.1007/s12215-023-00993-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Enriched multi-valued contraction mappings and enriched multi-valued nonexpansive mappings are introduced in the context of geodesic spaces, and their fixed points are analyzed in CAT(0) spaces. For the contraction mapping, the existence of a fixed point is established, and a scheme for approximating the point is provided. Conditions under which a sequence converges to a fixed point of the enriched multi-valued nonexpansive mapping are given, and the mapping is shown to exhibit a demiclosedness-type property. Furthermore, it is shown that the fixed point set of the mapping is closed and convex. Conditions under which a sequence converges to a Mann-type scheme are given, and an application to an equilibrium problem involving Nash non-cooperative games is discussed.

引用

页码：1435 / 1451

页数：17

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