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Strong convergence of an inertial iterative algorithm for variational inequality problem, generalized equilibrium problem, and fixed point problem in a Banach space
Journal article   Open access  Peer reviewed

Strong convergence of an inertial iterative algorithm for variational inequality problem, generalized equilibrium problem, and fixed point problem in a Banach space

Monairah Alansari, Rehan Ali and Mohammad Farid
Journal of inequalities and applications, Vol.2020(1), pp.1-22
19/02/2020

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We propose and analyze an inertial iterative algorithm to approximate a common solution of generalized equilibrium problem, variational inequality problem, and fixed point problem in the framework of a 2-uniformly convex and uniformly smooth real Banach space. Further, we study the convergence analysis of our proposed iterative method. Finally, we give application and a numerical example to illustrate the applicability of the main algorithm.
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https://doi.org/10.1186/s13660-020-02313-zView
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