摘要：In this paper, we introduce the structure of $S_{p}$ -metric spaces as a generalization of both S-metric and $S_{b}$ -metric spaces. Also, we present the notions of S̃-contractive mappings in the setup of ordered $S_{p}$ -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.
关键词：Fixed point; Complete metric space; Ordered b-metric space
