Stability and Convergence Analysis for Set-Valued Extended Generalized Nonlinear Mixed Variational Inequality Problems and Generalized Resolvent Dynamical Systems

Iqbal Ahmad, Zahoor Ahmad Rather, Rais Ahmad, Ching-Feng Wen and Efthymios G. Tsionas

Journal of Mathematics, 2021, vol. 2021, 1-21

Abstract: In this paper, we study a set-valued extended generalized nonlinear mixed variational inequality problem and its generalized resolvent dynamical system. A three-step iterative algorithm is constructed for solving set-valued extended generalized nonlinear variational inequality problem. Convergence and stability analysis are also discussed. We have shown the globally exponential convergence of generalized resolvent dynamical system to a unique solution of set-valued extended generalized nonlinear mixed variational inequality problem. In support of our main result, we provide a numerical example with convergence graphs and computation tables. For illustration, a comparison of our three-step iterative algorithm with Ishikawa-type algorithm and Mann-type algorithm is shown.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5573833

DOI: 10.1155/2021/5573833

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