Caristi fixed point theorem in metric spaces with a graph and its applications

© 2016. The purpose of this paper is to generalize Caristi's fixed point theorem in metric space with a directed graph and w-distance. We discuss Caristi's fixed point theorem for mappings defined on a complete metric space endowed with a directed graph and w-distance and we apply our main...

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Main Authors: Sridarat P., Suantai S.
格式: 雜誌
出版: 2017
在線閱讀:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85011976059&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/42299
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總結:© 2016. The purpose of this paper is to generalize Caristi's fixed point theorem in metric space with a directed graph and w-distance. We discuss Caristi's fixed point theorem for mappings defined on a complete metric space endowed with a directed graph and w-distance and we apply our main result to obtain coupled fixed point theorems in a complete metric space endowed with a directed graph and in a partially ordered complete metric space.