System of Set-Valued Nonlinear Generalized Variational Inclusion Problems in Banach Spaces

被引：0

作者：

Shafi, Sumeera ^{[1
]}

机构：

[1] Cluster Univ, SP Coll, Dept Math, Srinagar 190001, India

来源：

JOURNAL OF MATHEMATICAL STUDY | 2023年 / 56卷 / 03期

关键词：

~System of set-valued nonlinear generalized variational inclusion problems; H(; )-mixed mappings; proximal-point mapping; q-uniformly smooth Banach spaces; convergence analysis; H(; )-ACCRETIVE OPERATOR; ITERATIVE ALGORITHM; CONVERGENCE; MAPPINGS; INEQUALITIES;

D O I：

10.4208/jms.v56n3.23.04

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a system of set-valued nonlinear generalized variational inclusion problems (SNGVIP) in q-uniformly smooth Banach spaces. We define a class of H(., .)-mixed mappings and its associated class of resolvent operators. Further, using proximal-point mapping method, we suggest an iterative algorithm for finding the solution of the system of set-valued nonlinear generalized variational inclusion problems. Furthermore, we discuss the convergence criteria of the sequences generated by the iterative algorithm.

引用

页码：309 / 326

页数：18

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