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

Abdelkrim Abdelhalim; Abdelkrim Aliouche; Leila Ben Aoua; Oussaeif Taki-Eddine

doi:10.2478/mjpaa-2019-0015

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

Moroccan Journal of Pure and Applied Analysis

Volume 5 (2019): Issue 2 (December 2019)

By: Abdelkrim Abdelhalim, Abdelkrim Aliouche, Leila Ben Aoua and Oussaeif Taki-Eddine

Open Access

|Jan 2020

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.

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Articles in this issue

DOI: https://doi.org/10.2478/mjpaa-2019-0015 | Journal eISSN: 2351-8227

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Language: English

Page range: 197 - 221

Submitted on: Jul 5, 2019

Accepted on: Dec 10, 2019

Published on: Jan 24, 2020

Published by: Sciendo

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

First keyword,

Second Menger metric space,

g-convergent t-norm,

t-norm of H-type,

weak compatibility,

coupled common fixed point

Related subjects:

Mathematics,

Analysis,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics

© 2020 Abdelkrim Abdelhalim, Abdelkrim Aliouche, Leila Ben Aoua, Oussaeif Taki-Eddine, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 5 (2019): Issue 2 (December 2019)