Some fixed point results in ordered $b$-metric space with auxiliary functions

Yıl 2021, , 421 - 432, 30.09.2021

Kalyani K Seshagiri Rao Namana , Belay Mitiku

https://doi.org/10.31197/atnaa.758962

Cited By: 2

Öz

The purpose of this paper is to establish some fixed point results for a class of generalized $(\phi, \psi)$-weak contraction mapping in a partially ordered $b$-metric space. This mapping necessarily have a unique fixed point under ordered relation in a space. Also, the results for common and coincidence fixed points of the self mappings are presented. These results generalize and extend an existing results in the literature. Some illustrations are given at the end to support the results.

Anahtar Kelimeler

Ordered $b$-metric space, Common fixed point, Coincidence point

Teşekkür

We are very thankful to the Editor-in-Chief of the Journal for providing an opportunity to publish our research article.

Kaynakça

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