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Fixed points of Perov type contractive mappings on the set endowed with a graphic structure



https://link.springer.com/article/10....398-016-0373-4

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Fixed points of Perov type contractive mappings on the set endowed with a graphic structure



https://link.springer.com/article/10....398-016-0373-4

السلام عليكم و رحمة الله و بركاته
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DOI: 10.1007/s13398-016-0373-4
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Fixed points of Perov type contractive mappings
on the set endowed with a graphic structure
M. Abbas1,4 · V. Ra ko ث‡ cevi´ c2 · A. Iqbal
3
Received: 25 March 2016 / Accepted: 27 December 2016
© Springer-Verlag Italia 2017
Abstract The aim of this paper is to present ï¬پxed point results of Perov type contractive
mappings in the framework of cone metric spaces endowed with a graphic structure. Some
examples are presented to support the results proved herein. We also provide an example
to show that our results are substantial generalization of comparable results in the existing
literature. As an application of our results, we obtain ï¬پxed point results of Perov type cyclic
contraction mappings in cone metric spaces.
Keywords Cone metric · Fixed point · Directed graph · Picard operator
Mathematics Subject Classiï¬پcation 47H10 · 54H25

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