Sehgal Type Contractions on b-Metric Space

Author:

Alqahtani Badr,Fulga Andreea,Karapınar Erdal

Abstract

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.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference20 articles.

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5. Contraction mappings in b-metric spaces;Czerwik;Acta Math. Inf. Univ. Ostraviensis,1993

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