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

作　　者：Sumeera Shafi 

机构地区：[1]Department of Mathematics,S.P.College,Cluster University,Srinagar 190001,India

出　　处：《Journal of Mathematical Study》2023年第3期309-326,共18页数学研究（英文）

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.

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 

分 类 号：O17[理学—数学]