Geraghty type contractions in fuzzy b-metric spaces with application to integral equations
Filomat, Tome 34 (2020) no. 9, p. 3083
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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.
Classification :
54H25, 47H10
Keywords: b-metric space, fuzzy b-metric space, fixed point, contraction
Keywords: b-metric space, fuzzy b-metric space, fixed point, contraction
Muhammad Sohail Ashraf; Rashid Ali; Nawab Hussain. Geraghty type contractions in fuzzy b-metric spaces with application to integral equations. Filomat, Tome 34 (2020) no. 9, p. 3083 . doi: 10.2298/FIL2009083A
@article{10_2298_FIL2009083A,
author = {Muhammad Sohail Ashraf and Rashid Ali and Nawab Hussain},
title = {Geraghty type contractions in fuzzy b-metric spaces with application to integral equations},
journal = {Filomat},
pages = {3083 },
year = {2020},
volume = {34},
number = {9},
doi = {10.2298/FIL2009083A},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2009083A/}
}
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