Fixed points of multivalued contraction mappings in modular metric spaces

被引：0
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作者：
Afrah AN Abdou
Mohamed A Khamsi
机构：
[1] King Abdulaziz University,Department of Mathematics
[2] University of Texas at El Paso,Department of Mathematical Sciences
[3] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics
来源：
Fixed Point Theory and Applications | / 2014卷
关键词：
-condition; fixed point; modular metric spaces; multivalued contraction mapping;
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摘要：
The purpose of this paper is to study the existence of fixed points for contractive-type multivalued maps in the setting of modular metric spaces. 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. In this paper we investigate the existence of fixed points of multivalued modular contractive mappings in modular metric spaces. Consequently, our results either generalize or improve fixed point results of Nadler (Pac. J. Math. 30:475-488, 1969) and Edelstein (Proc. Am. Math. Soc. 12:7-10, 1961).
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