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Research Article | Open Access

Algorithm for split variational inequality, split equilibrium problem and split common fixed point problem

Savita Rathee, Monika Swami( )
Department of Mathematics, Maharshi Dayanand University, Rohtak, India, 124001
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Abstract

The main aim of this manuscript is to work on the split equilibrium problem with the combined results of the fixed point problem and split variational inequality problem. This paper is an extension of the recent work of Lohawech et al. We proposed a sequence that converges weakly to the common solution of all the three problems mentioned earlier. In the end, we supply some direct consequences of the main result, as the paper is an extension of various existing results.

Keywords

variational inequalityequilibrium problemfixed pointsplit variational inequalitysplit equilibrium problem
CLC number: 58E35, 47H09, 47H10

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AIMS Mathematics
Volume 7 Issue 5,
May 2022
Pages 9325-9338
DOI: 10.3934/math.2022517

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Rathee S, Swami M. Algorithm for split variational inequality, split equilibrium problem and split common fixed point problem. AIMS Mathematics, 2022, 7(5): 9325-9338. https://doi.org/10.3934/math.2022517

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Received: 02 November 2021
Revised: 10 February 2022
Accepted: 01 March 2022
Published: 15 May 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)