Year: 2023
Author: Sumeera Shafi
Journal of Mathematical Study, Vol. 56 (2023), Iss. 3 : pp. 309–326
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v56n3.23.04
Journal of Mathematical Study, Vol. 56 (2023), Iss. 3 : pp. 309–326
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: System of set-valued nonlinear generalized variational inclusion problems $H(· ·)$-mixed mappings proximal-point mapping $q$-uniformly smooth Banach spaces convergence analysis.