Convergence and stability analysis of a set-valued mixed variational inequality problem via three-step iterative approximation scheme

Ishfaq Ahmad Bhat, Nathiya N. and Mohd Iqbal Bhat

Chaos, Solitons & Fractals, 2025, vol. 201, issue P1

Abstract: In this paper, we introduce and investigate a novel class of set-valued mixed variational inequality problem and its equivalent form, a set-valued mixed variational inclusion problem and discuss their existence and uniqueness of solution. Further, we propose a three-step iterative scheme for approximating the solution of set-valued non-linear mixed variational inequality problem. Furthermore, we delve into the convergence and stability analysis of the proposed three-step iterative scheme. The results can be considered as a refinement of the earlier results in this domain.

Keywords: Set-valued mixed variational inequality; Set-valued mixed variational inclusion; Convergence and stability analysis; Iterative algorithm (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:201:y:2025:i:p1:s0960077925012342

DOI: 10.1016/j.chaos.2025.117221

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