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BEST PROXIMITY POINTS AND FIXED POINTS WITH $R$-FUNCTIONS IN THE FRAMEWORK OF $w$-DISTANCES

Part of: Connections with other structures, applications Nonlinear operators and their properties

Published online by Cambridge University Press:  17 December 2018

ALEKSANDAR KOSTIĆ Open the ORCID record for ALEKSANDAR KOSTIĆ [Opens in a new window] ,
ERDAL KARAPINAR Open the ORCID record for ERDAL KARAPINAR [Opens in a new window]  and
VLADIMIR RAKOČEVIĆ Open the ORCID record for VLADIMIR RAKOČEVIĆ [Opens in a new window]
ALEKSANDAR KOSTIĆ*
Affiliation:
Faculty of Sciences and Mathematics, University of Niš, Niš, Serbia email akos2804@gmail.com
ERDAL KARAPINAR
Affiliation:
Department of Medical Research, China Medical University, Taichung, Taiwan email erdalkarapinar@yahoo.com
VLADIMIR RAKOČEVIĆ
Affiliation:
Faculty of Sciences and Mathematics, University of Niš, Niš, Serbia email vrakoc@sbb.rs
*
✉akos2804@gmail.com
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Abstract

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We study best proximity points in the framework of metric spaces with $w$-distances. The results extend, generalise and unify several well-known fixed point results in the literature.

Keywords

best proximity pointsfixed pointsR-functionsw-distances

MSC classification

Primary: 47H10: Fixed-point theorems
Secondary: 54H25: Fixed-point and coincidence theorems
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 99 , Issue 3 , June 2019 , pp. 497 - 507
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

Footnotes

The first and third author are supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia, Grant No. 174025.

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