<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The purpose of this paper is to introduce a new type of φ -implicit relation in S - metric spaces and to prove a general fixed point for a pair of weakly compatible mappings, which generalize Theorems 1, 2, 4 [23], Theorems 1-7 [13], Corollary 2.19 [13], Theorems 2.2, 2.4 [19], Theorems 3.2, 3.3, 3.4 [20] and other known results.</p></abstract>

The purpose of this paper is to introduce a new type of φ -implicit relation in S - metric spaces and to prove a general fixed point for a pair of weakly compatible mappings, which generalize Theorems 1, 2, 4 [23], Theorems 1-7 [13], Corollary 2.19 [13], Theorems 2.2, 2.4 [19], Theorems 3.2, 3.3, 3.4 [20] and other known results.

Fixed points for a pair of weakly compatible mappings satisfying a new type of ϕ - implicit relation in S - metric spaces

“Vasile Alecsandri” University of Bacău

“Dunărea de Jos” University of Galaţi

Faculty of Sciences and Environment, Department of Mathematics and Computer Sciences

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The purpose of this paper is to introduce a new type of φ -implicit relation in S - metric spaces and to prove a general fixed point for a pair of weakly...

Fixed points for a pair of weakly compatible mappings satisfying a new type of ϕ - implicit relation in S - metric spaces

Published Online: Jul 16, 2020

Page range: 179 - 192

Received: May 22, 2018

DOI: https://doi.org/10.2478/ausm-2020-0012

Keywords
S - metric space, fixed point, weakly compatible mappings, φ -implicit relation

© 2020 Valeriu Popa et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Fixed points for a pair of weakly compatible mappings satisfying a new type of ϕ - implicit relation in S - metric spaces

Published Online: Jul 16, 2020

Page range: 179 - 192

Received: May 22, 2018

DOI: https://doi.org/10.2478/ausm-2020-0012

KeywordsS - metric space, fixed point, weakly compatible mappings, φ -implicit relation

© 2020 Valeriu Popa et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
S - metric space, fixed point, weakly compatible mappings, φ -implicit relation