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Research Article

ITERATIVE ALGORITHM FOR GENERALIZED VARIATIONAL INEQUALITY PROBLEM AND APPLICATIONS

S
Samir Dashputre Department of Mathematics, Shahid Durwasha Nishad Govt. College, Arjunda, Balod - 491225, Chhattisgarh, INDIA
R
Rakesh Tiwari Department of Mathematics, Govt. V.Y.T. PG Autonomous College, Durg - 491001, Chhattisgarh, INDIA
J
Jaynendra Shrivas Department of Mathematics, Govt. V.Y.T. PG Autonomous College, Durg - 491001, Chhattisgarh, INDIA
Volume 21, Issue 1 Pages 77-96 April 30, 2025 145 downloads
Article overview

Abstract

The purpose of this study is to look at a generalized variational inequality problem. We start a iterative method [18] and evaluate its convergence. We estimate the common solution of a generalized variational inequality problem and the fixed points of a nonexpansive mapping using iterative method [18]. A numerical example is provided to demonstrate our existence result. Furthermore, we show that the considered iterative technique converges quicker than the earlier iterative scheme. We also use our suggested iterative approach to estimate the solution to a convex minimization problem and a split feasibility problem.

Keywords and Phrases

Variational inequalities problemIterative methodsnonexpansive mappingsConvex minimization and split feasibility problem.

AMS Subject Classification

47J40, 58E35, 47H10.

Reference information

How to Cite

Samir Dashputre, Rakesh Tiwari, Jaynendra Shrivas (2025). ITERATIVE ALGORITHM FOR GENERALIZED VARIATIONAL INEQUALITY PROBLEM AND APPLICATIONS. South East Asian Journal of Mathematics and Mathematical Sciences, 21(1), 77-96.
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