Fixed points of mappings satisfying contractive condition of integral type in modular spaces endowed with a graph

Jachymski (Proc. Am. Math. Soc. 136:1359-1373, 2008) gave a modified version of a Banach fixed point theorem on a metric space endowed with a graph. The aim of this paper is to present fixed point results of mappings satisfying integral type contractive conditions in the framework of modular spaces...

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Veröffentlicht in:	Fixed point theory and algorithms for sciences and engineering 2014-10, Vol.2014 (1), p.1-17, Article 220
Hauptverfasser:	Öztürk, Mahpeyker, Abbas, Mujahid, Girgin, Ekber
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Differential Geometry Fixed points (mathematics) Graphs Integrals Mapping Mathematical and Computational Biology Mathematics Mathematics and Statistics Metric space Modular Theorems Topology
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Zusammenfassung:	Jachymski (Proc. Am. Math. Soc. 136:1359-1373, 2008) gave a modified version of a Banach fixed point theorem on a metric space endowed with a graph. The aim of this paper is to present fixed point results of mappings satisfying integral type contractive conditions in the framework of modular spaces endowed with a graph. Some examples are presented to support the results proved herein. Our results generalize and extend various comparable results in the existing literature. MSC: 47H10, 54H25, 54E50.
ISSN:	1687-1812 1687-1812 2730-5422
DOI:	10.1186/1687-1812-2014-220