Strong convergence theorems for fixed point of multi-valued mappings in Hadamard spaces

被引：6

作者：

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

Kumam, Poom ^{[1
,2
,4
]}

Sriwongsa, Songpon ^{[1
,2
]}

机构：

[1] King Mongkuts Univ Technol Thonburi KMUTT, Ctr Excellence Theoret & Computat Sci TaCS CoE, Room SCL 802,Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand

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

[3] Sule Lamido Univ Kafin Hausa, Fac Nat & Appl Sci, Dept Math, PMB 048, Jigawa, Nigeria

[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2022年 / 2022卷 / 01期

关键词：

Common fixed point; Demiclosedness-type property; Hadamard space; Multi-valued demicontractive mappings; Strong convergence; Delta-convergence; NONEXPANSIVE-MAPPINGS; ALGORITHM;

D O I：

10.1186/s13660-022-02870-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

With the help of CN-inequality, we study fixed point of multi-valued mappings with closed bounded images and establish some strong convergence theorems involving a countable family of demicontractive mappings in Hadamard spaces. Furthermore, we use the established theorems to deduce some theorems involving a family of minimization problems, variational inequality problems, and monotone inclusion problems. We finally give examples to illustrate the results. The results obtained herein generalise some recent results in the literature.

引用

页数：28

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