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

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)....

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Bibliographic Details
Published in:Moroccan journal of pure and applied analysis 2019-12, Vol.5 (2), p.197-221
Main Authors: Abdelhalim, Abdelkrim, Aliouche, Abdelkrim, Ben Aoua, Leila, Taki-Eddine, Oussaeif
Format: Article
Language:English
Subjects:
47H10
54H25
coupled common fixed point
First keyword
g-convergent t-norm
Second Menger metric space
t-norm of H-type
weak compatibility
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Summary: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.
ISSN:2351-8227
2351-8227
DOI:10.2478/mjpaa-2019-0015