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

Access to Document

10.1515/math-2021-0104

Cite this

@article{16f6cef7e1d445c5b0cadaafefebbf3e,

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.",

keywords = "best proximity point, cyclic contraction, variational inequality",

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

note = "Publisher Copyright: {\textcopyright} 2021 Azhar Hussain et al., published by De Gruyter.",

year = "2021",

month = jan,

day = "1",

doi = "10.1515/math-2021-0104",

language = "English",

volume = "19",

pages = "1349--1358",

journal = "Open Mathematics",

issn = "2391-5455",

publisher = "Walter de Gruyter GmbH",

number = "1",

}

TY - JOUR

T1 - Global optimization and applications to a variational inequality problem

AU - Hussain, Azhar

AU - Adeel, Muhammad

AU - Aydi, Hassen

AU - Baleanu, Dumitru

PY - 2021/1/1

Y1 - 2021/1/1

N2 - 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.

AB - 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.

KW - best proximity point

KW - cyclic contraction

KW - variational inequality

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

U2 - 10.1515/math-2021-0104

DO - 10.1515/math-2021-0104

M3 - Article

AN - SCOPUS:85123294662

SN - 2391-5455

VL - 19

SP - 1349

EP - 1358

JO - Open Mathematics

JF - Open Mathematics

IS - 1

ER -

Global optimization and applications to a variational inequality problem

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this