Global optimization and applications to a variational inequality problem

Azhar Hussain; Muhammad Adeel; Hassen Aydi; Dumitru Baleanu

doi:10.1515/math-2021-0104

Global optimization and applications to a variational inequality problem

Azhar Hussain, Muhammad Adeel, Hassen Aydi^*, Dumitru Baleanu

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

In the present paper, we study the existence and convergence of the best proximity point for cyclic Θ \Theta -contractions. As consequences, we extract several fixed point results for such cyclic mappings. As an application, we present some solvability theorems in the topic of variational inequalities.

Original language	English
Pages (from-to)	1349-1358
Number of pages	10
Journal	Open Mathematics
Volume	19
Issue number	1
DOIs	https://doi.org/10.1515/math-2021-0104
Publication status	Published - 1 Jan 2021
Externally published	Yes

Keywords

best proximity point
cyclic contraction
variational inequality

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title = "Global optimization and applications to a variational inequality problem",

abstract = "In the present paper, we study the existence and convergence of the best proximity point for cyclic Θ \textbackslash{}Theta -contractions. As consequences, we extract several fixed point results for such cyclic mappings. As an application, we present some solvability theorems in the topic of variational inequalities.",

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author = "Azhar Hussain and Muhammad Adeel and Hassen Aydi and Dumitru Baleanu",

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AU - Aydi, Hassen

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KW - cyclic contraction

KW - variational inequality

UR - https://www.scopus.com/pages/publications/85123294662

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DO - 10.1515/math-2021-0104

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Global optimization and applications to a variational inequality problem

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