TWO GENERALIZED STRONG CONVERGENCE ALGORITHMS FOR VARIATIONAL INEQUALITY PROBLEMS IN BANACH SPACES

Mostafa Ghadampour; Ebrahim Soori; Ravi P. Agarwal; Donal O’regan

doi:10.24193/fpt-ro.2024.1.09

TWO GENERALIZED STRONG CONVERGENCE ALGORITHMS FOR VARIATIONAL INEQUALITY PROBLEMS IN BANACH SPACES

Mostafa Ghadampour, Ebrahim Soori, Ravi P. Agarwal, Donal O’regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

In this paper, two generalized algorithms for solving the variational inequality problem in Banach spaces are proposed. Then the strong convergence of the sequences generated by these algorithms will be proved under suitable conditions. Finally, using MATLAB software, we provide some numerical examples to illustrate our results.

Original language	English
Pages (from-to)	143-161
Number of pages	19
Journal	Fixed Point Theory
Volume	25
Issue number	1
DOIs	https://doi.org/10.24193/fpt-ro.2024.1.09
Publication status	Published - 2024

Keywords

asymptotical fixed point
monotone mapping
relatively nonexpansive mapping
Variational inequality

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10.24193/fpt-ro.2024.1.09

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title = "TWO GENERALIZED STRONG CONVERGENCE ALGORITHMS FOR VARIATIONAL INEQUALITY PROBLEMS IN BANACH SPACES",

abstract = "In this paper, two generalized algorithms for solving the variational inequality problem in Banach spaces are proposed. Then the strong convergence of the sequences generated by these algorithms will be proved under suitable conditions. Finally, using MATLAB software, we provide some numerical examples to illustrate our results.",

keywords = "asymptotical fixed point, monotone mapping, relatively nonexpansive mapping, Variational inequality",

author = "Mostafa Ghadampour and Ebrahim Soori and Agarwal, \{Ravi P.\} and Donal O{\textquoteright}regan",

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AU - Ghadampour, Mostafa

AU - Soori, Ebrahim

AU - Agarwal, Ravi P.

AU - O’regan, Donal

PY - 2024

Y1 - 2024

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AB - In this paper, two generalized algorithms for solving the variational inequality problem in Banach spaces are proposed. Then the strong convergence of the sequences generated by these algorithms will be proved under suitable conditions. Finally, using MATLAB software, we provide some numerical examples to illustrate our results.

KW - asymptotical fixed point

KW - monotone mapping

KW - relatively nonexpansive mapping

KW - Variational inequality

UR - https://www.scopus.com/pages/publications/85185923784

U2 - 10.24193/fpt-ro.2024.1.09

DO - 10.24193/fpt-ro.2024.1.09

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AN - SCOPUS:85185923784

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VL - 25

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JO - Fixed Point Theory

JF - Fixed Point Theory

IS - 1

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TWO GENERALIZED STRONG CONVERGENCE ALGORITHMS FOR VARIATIONAL INEQUALITY PROBLEMS IN BANACH SPACES

Abstract

Keywords

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