Ordered Sp $S_{p}$-metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary value problems

Abstract

Abstract In this paper, we introduce the structure of Sp $S_{p}$-metric spaces as a generalization of both S-metric and Sb $S_{b}$-metric spaces. Also, we present the notions of S̃-contractive mappings in the setup of ordered Sp $S_{p}$-metric spaces and investigate the existence of a fixed point for such mappings under various contractive conditions. We provide examples to illustrate the results presented herein. An application to periodic boundary value problems is presented.

Keywords

• Fixed point
• Complete metric space
• Ordered b-metric space