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2019 An Iterative Method for Finding Common Solution of the Fixed Point Problem of a Finite Family of Nonexpansive Mappings and a Finite Family of Variational Inequality Problems in Hilbert Space
Shamshad Husain, Nisha Singh
J. Appl. Math. 2019: 1-11 (2019). DOI: 10.1155/2019/6875789

Abstract

In this paper, a hybrid iterative algorithm is proposed for finding a common element of the set of common fixed points of finite family of nonexpansive mappings and the set of common solutions of the variational inequality for an inverse strongly monotone mapping on the real Hilbert space. We establish the strong convergence of the proposed method for approximating a common element of the above defined sets under some suitable conditions. The results presented in this paper extend and improve some well-known corresponding results in the earlier and recent literature.

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Shamshad Husain. Nisha Singh. "An Iterative Method for Finding Common Solution of the Fixed Point Problem of a Finite Family of Nonexpansive Mappings and a Finite Family of Variational Inequality Problems in Hilbert Space." J. Appl. Math. 2019 1 - 11, 2019. https://doi.org/10.1155/2019/6875789

Information

Received: 17 May 2018; Revised: 21 December 2018; Accepted: 24 December 2018; Published: 2019
First available in Project Euclid: 26 February 2019

zbMATH: 07051375
MathSciNet: MR3907700
Digital Object Identifier: 10.1155/2019/6875789

Rights: Copyright © 2019 Hindawi

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