An inertial extragradient algorithm for split problems in Hilbert spaces

Author:

Husain Shamshad1,Asad Mohd1

Affiliation:

1. Department of Applied mathematics , Faculty of Engineering and Technology , Aligarh Muslim University , Aligarh , 202002 , India

Abstract

Abstract In this study, we propose an inertial extragradient algorithm for solving a split generalized equilibrium problem as well as a split feasibility and common fixed point problem. We demonstrate that, under certain reasonable assumptions, the sequences induced by the proposed algorithm converge strongly to a solution of the corresponding problem. In addition, with the help of a numerical example, we demonstrate the efficiency of proposed algorithm. As a result of this paper, some recent well-known results in this area have been improved, generalized, and extended.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Analysis

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