A Perov Version of Fuzzy Metric Spaces and Common Fixed Points for Compatible Mappings-Reference-Cited by-同舟云学术

A Perov Version of Fuzzy Metric Spaces and Common Fixed Points for Compatible Mappings

Published:2021-06-04 Issue:11 Volume:9 Page:1290
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Martínez-Moreno Juan,Gopal Dhananjay

Abstract

In this paper, we define and study the Perov fuzzy metric space and the topology induced by this space. We prove Banach contraction theorems. Moreover, we devised new results for Kramosil and Michálek fuzzy metric spaces. In the process, some results about multidimensional common fixed points as coupled/tripled common fixed point results are derived from our main results.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/9/11/1290/pdf

Reference26 articles.

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3. Fixed Point Theory for Generalized Contractive Maps on Spaces with Vector-Valued Metrics;O’Regan,2007

4. On a certain general method for investigation of boundary value problems;Perov;Izv. Akad. Nauk SSSR Ser. Mat.,1966

5. Vector-valued metrics, fixed points and coupled fixed points for nonlinear operators

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