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Original Articles

S-iterative algorithm for solving variational inequalities

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Pages 435-448 | Received 20 Dec 2018, Accepted 05 Apr 2020, Published online: 04 May 2020
 

Abstract

In this paper we propose an S-iterative algorithm for finding the common element of the set of solutions of the variational inequalities and the set of fixed points of nonexpansive mappings. We study the convergence criteria of the mentioned algorithm under some mild conditions. As an application, a modified algorithm is suggested to solve convex minimization problems. Numerical examples are given to validate the theoretical findings obtained herein. Our results may be considered as an improvement, refinement and complement of the previously known results.

2010 Mathematics Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the authors.

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