The contraction principle for mappings on a modular metric space with a graph

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• 作者：Monther Rashed Alfuraidan
• 关键词：47H09 ; 46B20 ; 47H10 ; 47E10 ; Δ 2 $\Delta_{2}$ ; condition ; fixed point ; modular metric spaces ; contraction mapping ; connected graph
• 刊名：Fixed Point Theory and Applications
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,280 KB
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• 刊物主题：Analysis; Mathematics, general; Applications of Mathematics; Differential Geometry; Topology; Mathematical and Computational Biology;
• 出版者：Springer International Publishing
• ISSN：1687-1812

文摘

We give a generalization of the Banach contraction principle on a modular metric space endowed with a graph. The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced. This paper can be seen as the modular metric version of Jachymski’s fixed point result for mappings on a metric space with a graph.