Iterative Approach for Solving Variational Inequality Problems using Fixed Point Concept

Anju Panwar; Pradeep Kumar

doi:10.17485/IJST/v16i23.2259

Article

Iterative Approach for Solving Variational Inequality Problems using Fixed Point Concept

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v16i23.2259

Year: 2023, Volume: 16, Issue: 23, Pages: 1702-1715

Original Article

Iterative Approach for Solving Variational Inequality Problems using Fixed Point Concept

Anju Panwar^1*, Pradeep Kumar¹

¹Department of Mathematics, Maharshi Dayanand University Rohtak, Haryana, India

*Corresponding Author
Email: [email protected]

Received Date:29 November 2022, Accepted Date:01 April 2023, Published Date:09 June 2023

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: The objective of the paper is to find the solutions of variational inequality problems via the concept of common fixed point of a sequence of nearly nonexpansive mappings. Methods: The present work uses three step iterative algorithm to get the solutions of variational inequality problems. Findings: By applying three step iterative algorithm, solutions of variational inequality problem has been obtained. Novelty: In the present work, a specific three step iterative algorithm has been deployed to get solution. Furthermore, Matlab programming has been utilised to eastablish the accuracy of the results. Mathematics Subject Classification 2020: 47H06, 47H09, 47H10, 47J25.

Keywords: Variational inequality; Fixed point; Nonexpansive mapping; Iterative algorithm; Matlab programming

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© 2023 Panwar & Kumar. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)