Fixed Point Methodologies for Orthogonal (Π , ξ )-Weak Contraction Mappings in Orthogonal Branciari Metric Spaces with Applications

Abstract

The target of this manuscript is to obtain some fixed point results for generalized orthogonal (Π , ξ )-weak contraction mappings in the setting of orthogonal Branciari metric spaces. Also, axillary functions are given to help prove our results. Moreover, Some of the consequences that can be obtained from the main theorem are presented in the form of corollaries. Ultimately, the theoretical result is applied to obtain the solution of a differential equation as reinforcement and support for the results shown.