<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we prove some common coupled fixed point theorems for contractive mappings in Menger metric spaces under geometrically convergent t-norms. Also, we prove common fixed point theorems for pairs of weakly compatible mappings, which generalize the results of Jian-Zhong Xiao and al (2011). The main results is supported by a suitable examples.</p></abstract>

In this paper, we prove some common coupled fixed point theorems for contractive mappings in Menger metric spaces under geometrically convergent t-norms. Also, we prove common fixed point theorems for pairs of weakly compatible mappings, which generalize the results of Jian-Zhong Xiao and al (2011). The main results is supported by a suitable examples.

Common coupled fixed point theorems for two pairs of weakly compatible mappings in Menger metric spaces

Department of Mathematics and Informatics

Moroccan Journal of Pure and Applied Analysis

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

In this paper, we prove some common coupled fixed point theorems for contractive mappings in Menger metric spaces under geometrically convergent t-norms. Also,...

Common coupled fixed point theorems for two pairs of weakly compatible mappings in Menger metric spaces

Publié en ligne: 24 janv. 2020

Pages: 197 - 221

Reçu: 05 juil. 2019

Accepté: 10 déc. 2019

DOI: https://doi.org/10.2478/mjpaa-2019-0015

Mots clés
First keyword, Second Menger metric space, g-convergent t-norm, t-norm of H-type, weak compatibility, coupled common fixed point

© 2019 Abdelkrim Abdelhalim et al., published by Sciendo

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

Common coupled fixed point theorems for two pairs of weakly compatible mappings in Menger metric spaces

Publié en ligne: 24 janv. 2020

Pages: 197 - 221

Reçu: 05 juil. 2019

Accepté: 10 déc. 2019

DOI: https://doi.org/10.2478/mjpaa-2019-0015

Mots clésFirst keyword, Second Menger metric space, g-convergent t-norm, t-norm of H-type, weak compatibility, coupled common fixed point

© 2019 Abdelkrim Abdelhalim et al., published by Sciendo

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

Mots clés
First keyword, Second Menger metric space, g-convergent t-norm, t-norm of H-type, weak compatibility, coupled common fixed point