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arXiv · 1509.02018

Convergence theorems by extragradient method in Banach spaces

Zeynab Jouymandi·Fridoun Moradlou
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Abstract

In this paper, using generalized metric projection, we propose a new extragradient method for finding a common element of the solutions set of a generalized equilibrium problem and a variational inequality for an $α$-inverse-strongly monotone operator and fixed points of two relatively nonexpansive mappings in Banach spaces. We prove strong convergence theorems by this method under suitable conditions. A numerical example is given to illustrate the usability of our results.

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Zeynab Jouymandi, Fridoun Moradlou. 2016-10-29. Convergence theorems by extragradient method in Banach spaces. https://arxiv.org/abs/1509.02018

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