Fixed points of multivalued mappings in modular function spaces with a graph

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• 作者：Monther Rashed Alfuraidan
• 关键词：47H09 ; 46B20 ; 47H10 ; 47E10 ; directed graph ; fixed point ; function modular space ; multivalued contraction/nonexpansive mapping
• 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：1,298 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

Let \(\rho\in\Re\) (the class of all nonzero regular function modulars defined on a nonempty set Ω) and G be a directed graph defined on a subset C of \(L_{\rho}\) . In this paper, we discuss the existence of fixed points of monotone G-contraction and G-nonexpansive mappings in modular function spaces. These results are the modular version of Jachymski fixed point results for mappings defined in a metric space endowed with a?graph.