Ordered <i>S</i>_<em>p</em><i> </i>metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary value problems

<p dir="ltr">In this paper, we introduce the structure of <i>S</i>_<em>p</em> -metric spaces as a generalization of both S-metric and <i>S</i>_<em>b</em> -metric spaces. Also, we present the notions of S̃-contractive mappings in the setup of ordered <i>S</i>_<em>p</em> -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.</p><h2>Other Information</h2><p dir="ltr">Published in: Fixed Point Theory and Applications<br>License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="http://dx.doi.org/10.1186/s13663-019-0666-3" target="_blank">http://dx.doi.org/10.1186/s13663-019-0666-3</a></p>