Variational Inequality Problem Involving Multivalued Nonexpansive Mapping in CAT(0) Spaces

被引：4

作者：

Gursoy, Faik ^{[1
]}

Hacioglu, Emirhan ^{[2
]}

Karakaya, Vatan ^{[3
]}

Milovanovic, Gradimir, V ^{[4
,5
]}

Uddin, Izhar ^{[6
]}

机构：

[1] Adiyaman Univ, Dept Math, TR-02040 Adiyaman, Turkey

[2] Trakya Univ, Dept Math, Balkan Campus, TR-22030 Edirne, Turkey

[3] Yildiz Tech Univ, Dept Math Engn, Davutpasa Campus, TR-34210 Istanbul, Turkey

[4] Serbian Acad Arts & Sci, Belgrade 11000, Serbia

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

[6] Jamia Millia Islamia, Dept Math, New Delhi 10025, India

来源：

RESULTS IN MATHEMATICS | 2022年 / 77卷 / 03期

关键词：

Variational inequality; iterative methods; nonexpansive mapping; convergence analysis; multivalued mappings; CAT(0) spaces; Delta-convergence; FIXED-POINT; CONVERGENCE; THEOREMS; MANN;

D O I：

10.1007/s00025-022-01663-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new type of variational inequality problem (VIP) involving nonself multivalued mappings in CAT(0) spaces. We show that this VIP problem admit a solution under suitable conditions. We also perform the convergence analysis of introduced VIP via proximal multivalued Picard-S iteration. We finish our paper with some convergence theorems for new iteration scheme and system of variational inequalities associated with finite family of nonself multivalued nonexpansive mappings.

引用

页数：24