Sehgal Type Contractions on b-Metric Space

In this paper, we analyze two discontinuous self-mappings that satisfy Sehgal-type inequalities in the setup of complete b-metric space. The main results of the paper cover and extend a few existing results in the corresponding literature. Furthermore, we give some illustrative examples to verify th...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 10; no. 11; p. 560
Main Authors Alqahtani, Badr, Fulga, Andreea, Karapınar, Erdal
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.11.2018
Subjects
b-metric
common fixed point
discontinuous mapping
Fredholm equations
Inequality
Integral equations
Metric space
Sehgal-type contraction
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Summary:In this paper, we analyze two discontinuous self-mappings that satisfy Sehgal-type inequalities in the setup of complete b-metric space. The main results of the paper cover and extend a few existing results in the corresponding literature. Furthermore, we give some illustrative examples to verify the effectiveness and strength of our derived results. Thereafter, as an application, we consider the obtained result to aggregate the existence and uniqueness of the solution for nonlinear Fredholm integral equations.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym10110560