Symmetrical Hybrid Coupled Fuzzy Fixed-Point Results on Closed Ball in Fuzzy Metric Space with Applications

In this research, we establish some new fixed-point results for a symmetric coupled dominated fuzzy mapping satisfying a new advanced contraction on a closed ball in the setting of complete fuzzy metric spaces. In addition, the new notion of hybrid fuzzy-graph-dominated mappings introduced in fuzzy...

Full description

Bibliographic Details
Main Authors: Tahair Rasham, Farhan Saeed, Ravi P. Agarwal, Aftab Hussain, Abdelbsset Felhi
Format: Article
Language:English
Published: MDPI AG 2022-12-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/1/30
Description
Summary:In this research, we establish some new fixed-point results for a symmetric coupled dominated fuzzy mapping satisfying a new advanced contraction on a closed ball in the setting of complete fuzzy metric spaces. In addition, the new notion of hybrid fuzzy-graph-dominated mappings introduced in fuzzy metric spaces achieves some new advanced fuzzy fixed-point problems. Some new definitions and illustrative examples are given to validate our new findings. Lastly, to demonstrate the originality of our new results, we present an application to the Fredholm-type integral equation.
ISSN:2073-8994