Open AccessGeraghty type contractions in fuzzy b-metric spaces with application to integral equations
Author(s) -
Muhammad Sohail Ashraf,
Rashid Ali,
Nawab Hussain
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2009083a
Subject(s) - mathematics , metric space , fuzzy logic , type (biology) , nonlinear system , contraction (grammar) , metric (unit) , space (punctuation) , pure mathematics , mathematical analysis , computer science , artificial intelligence , biology , operating system , medicine , ecology , operations management , physics , quantum mechanics , economics
In this paper, we study the notion of a fuzzy b-metric space and establish certain fixed point results for Geraghty-type contraction in the setting of G-complete fuzzy b-metric space. We furnish an example to illustrate our main result. Our results extend and generalize the existing results in the literature. An application related to our main result for the existence of solution of nonlinear integral equations is also presented.