Iterative Approach for Solving Variational Inequality Problems using Fixed Point Concept
Anju Panwar, Pradeep Kumar · Indian Journal of Science and Technology · 2023
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