SOME FIXED POINT RESULTS FOR REICH TYPE CONTRACTION MAPPINGS IN BIPOLAR METRIC SPACES WITH APPLICATIONS

KANAYO STELLA EKE; HUDSON  AKEWE

KANAYO STELLA EKE DEPARTMENT OF MATHEMATICS, UNIVERSITY OF LAGOS, AKOKA, LAGOS STATE, NIGERIA.
HUDSON AKEWE DEPARTMENT OF MATHEMATICS, UNIVERSITY OF LAGOS, AKOKA, LAGOS STATE, NIGERIA.

Keywords: bipolar metric spaces, contravariant mappings, fixed point, fractional differential equation, Reich convex contraction type mapping

Abstract

In this study, we present the novel idea of contravariant mappings with Reich convex contraction type in bipolar metric spaces, contributing to the understanding of distances between disparate entities. Furthermore, we establish the existence of a singular fixed point for contravariant mappings of Reich convex contraction-type within complete bipolar metric spaces. Our investigation extends to obtaining solutions for integral and fractional differential equations through the application of this operator. To validate our findings, we presented examples to illustrate the implications of the results.

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