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
收藏
页码：309 / 326
页数：18
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