A Fixed Point Result in a Double Control Metric Space Setting and a Fredholm Integral Equation

In this present work, we prove a fixed point result for generalized contraction mappings in the setting of a double control metric space (DCMS) by using α-orbital admissibility. The uniqueness of the fixed point is established by adding further hypotheses. The presented result is supported by a conc...

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Bibliographic Details
Published inEuropean journal of pure and applied mathematics Vol. 18; no. 3; p. 6133
Main Authors Aydi, Hassen, Hammouda, Hamdi, Mansour, Saber
Format Journal Article
LanguageEnglish
Published 01.08.2025
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ISSN1307-5543
1307-5543
DOI10.29020/nybg.ejpam.v18i3.6133

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Summary:In this present work, we prove a fixed point result for generalized contraction mappings in the setting of a double control metric space (DCMS) by using α-orbital admissibility. The uniqueness of the fixed point is established by adding further hypotheses. The presented result is supported by a concrete example. Moreover, we ensure the existence of a solution of a Fredholm type integral equation via a fixed point technique. Some consequences are also presented to make effective the obtained results.
ISSN:1307-5543
1307-5543
DOI:10.29020/nybg.ejpam.v18i3.6133