<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

Publicado en línea: 16 jul 2020

Páginas: 179 - 192

Recibido: 22 may 2018

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

Palabras clave
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

Publicado en línea: 16 jul 2020

Páginas: 179 - 192

Recibido: 22 may 2018

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

Palabras claveS - 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.

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