Fixed point theorems on generalized metric space endowed with graph

Volume 9, Issue 6, pp 4277--4285 Publication Date: June 15, 2016
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Authors

Tayyab Kamran - Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan. Mihai Postolache - Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania. Fahimuddin - Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan. - Center for Advanced Studies in Engineering (CASE), Islamabad, Pakistan. Muhammad Usman Ali - Department of Sciences and Humanities, National University of Computer and Emerging Sciences (FAST), H-11/4 Islamabad, Pakistan.

Abstract

In this paper, we prove some fixed point theorems for mappings of generalized metric space endowed with graph. We also construct examples to support our results.

Keywords

• Generalized metric space
• G-Contraction
• G-continuity.

•  47H10
•  54H25

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