An Inertial Iterative Algorithm to Find Common Solution of a Split Generalized Equilibrium and a Variational Inequality Problem in Hilbert Spaces

Mohammad Farid, Rehan Ali, Watcharaporn Cholamjiak and Jen-Chih Yao

Journal of Mathematics, 2021, vol. 2021, 1-17

Abstract: In this paper, we introduce and study an iterative algorithm via inertial and viscosity techniques to find a common solution of a split generalized equilibrium and a variational inequality problem in Hilbert spaces. Further, we prove that the sequence generated by the proposed theorem converges strongly to the common solution of our problem. Furthermore, we list some consequences of our established algorithm. Finally, we construct a numerical example to demonstrate the applicability of the theorem. We emphasize that the result accounted in the manuscript unifies and extends various results in this field of study.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3653807

DOI: 10.1155/2021/3653807

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