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

Nallaselli, Gunasekaran; Gnanaprakasam, Arul J.; Hammad, Hasanen A.

doi:10.21608/sjsci.2024.252257.1158

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

Document Type : Regular Articles

Authors

¹ Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur-603203, Kanchipuram, Chennai, Tamil Nadu, India.

² Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt.

10.21608/sjsci.2024.252257.1158

Abstract

The target of this paper is to obtain some fixed point results for generalized orthogonal (Π , ξ )-weak contraction mappings in the setting of orthogonal Branciari metric spaces. Also, auxiliary 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.

Keywords