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Coupled Fixed Points Theorem for Mappings Satisfying a Contractive Condition of Integral Type in Cauchy Spaces


Samuel A. Aniki
Michael O. Ajisope
Muhammed Raji
Femi Adegboye

Abstract

The contractive-type coupled fixed point theory is a generalization of Banach contraction theory. This research analyze the existence and uniqueness of mappings defined on Cauchy metric spaces via coupled fixed point theorem which satisfies a contractive inequality of integral-type. Furthermore, it generalizes contractive inequality of integral-type of fixed point to coupled fixed point theorem as an improvement to available research in literature. Some illustrative examples to back up our claims are included.


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eISSN: 2579-0617
print ISSN: 2579-0625