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

Author

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  • Bhat, Ishfaq Ahmad
  • N., Nathiya
  • Bhat, Mohd Iqbal

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.

Suggested Citation

  • Bhat, Ishfaq Ahmad & N., Nathiya & Bhat, Mohd Iqbal, 2025. "Convergence and stability analysis of a set-valued mixed variational inequality problem via three-step iterative approximation scheme," Chaos, Solitons & Fractals, Elsevier, vol. 201(P1).
    • Handle: RePEc:eee:chsofr:v:201:y:2025:i:p1:s0960077925012342
    DOI: 10.1016/j.chaos.2025.117221
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    References listed on IDEAS

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    1. Xin He & Nan-jing Huang & Xue-song Li, 2022. "Modified Projection Methods for Solving Multi-valued Variational Inequality without Monotonicity," Networks and Spatial Economics, Springer, vol. 22(2), pages 361-377, June.
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