Some Coincidence and Common Fixed Point Results in Fuzzy Metric Space with an Application to Differential Equations | Zendy

Saif Ur Rehman | Zendy; Iqra Shamas | Zendy; Naeem Jan | Zendy; Abdu Gumaei | Zendy; Mabrook AlRakhami | Zendy

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Some Coincidence and Common Fixed Point Results in Fuzzy Metric Space with an Application to Differential Equations

Author(s) -

Saif Ur Rehman,

Iqra Shamas,

Naeem Jan,

Abdu Gumaei,

Mabrook AlRakhami

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/9411993

Subject(s) - coincidence point , coincidence , uniqueness , mathematics , metric space , fixed point , fuzzy logic , point (geometry) , fixed point theorem , mathematical analysis , computer science , geometry , artificial intelligence , medicine , alternative medicine , pathology

In this paper, we study some coincidence point and common fixed point theorems in fuzzy metric spaces by using three-self-mappings. We prove the uniqueness of some coincidence point and common fixed point results by using the weak compatibility of three-self-mappings. In support of our results, we present some illustrative examples for the validation of our work. Our results extend and improve many results given in the literature. In addition, we present an application of fuzzy differential equations to support our work.

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