CONVERGENCE ANALYSIS FOR APPROXIMATING SOLUTION OF VARIATIONAL INCLUSION PROBLEM

Aadil Hussain Dar, Mudasir Younis, Lili Chen

DOI Number
https://doi.org/10.22190/FUMI210922042D
First page
659
Last page
669

Abstract


This article aims to define a new resolvent operator for variational inclusion problems in the framework of  Banach spaces. We design a rapid algorithm using the resolvent operator to approximate the solution of the variational inclusion problem in Banach spaces. Additionally, we show that the algorithm articulated in this article converges faster than the well-known and notable algorithm due to Fang and Huang. To show the superiority and prevalence of the obtained results, we propound a numerical and computational example upholding our claim.  Lastly, a minimization problem is solved with the help of the proposed algorithm, which is the first attempt in the current context of the study.

Keywords

variational inclusion problem, approximation, convergence.

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References


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DOI: https://doi.org/10.22190/FUMI210922042D

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