Graph Convergence and Iterative Approximation of Solution of a Set-Valued Variational Inclusions

Faizan Ahmad Khan, Sanjeev Gupta and Valerii Obukhovskii

Journal of Mathematics, 2022, vol. 2022, 1-18

Abstract: In this article, first, we introduce a class of proximal-point mapping associated with generalized αiβj-Hp.,.,…-accretive mapping. Further, we discuss the graph convergence of generalized αiβj-Hp.,.,…-accretive mapping. As an application, we consider a set-valued variational inclusion problem (SVIP) in real Banach spaces. Furthermore, we propose an iterative scheme involving the above class of proximal-point mapping to find a solution of SVIP and discuss its convergence under some convenient assumptions. An example is constructed and demonstrated few graphics in support of our main results.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4540369

DOI: 10.1155/2022/4540369

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