Khan type fixed point theorems in a generalized metric space

Volume 16, Issue 2, pp 211-217 http://dx.doi.org/10.22436/jmcs.016.02.09

Publication Date: June 15, 2016 Submission Date: February 14, 2016

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Authors

H. Piri - Department of Mathematics, University of Bonab, Bonab, 5551761167, Iran. S. Rahrovi - Department of Mathematics, University of Bonab, Bonab, 5551761167, Iran. P. Kumam - Department of Medical Research, China Medical University Hospital, China Medical University, No. 91, Hsueh-Shih Road, Taichung, 40402, Taiwan.

Abstract

Existence and uniqueness of fixed points are established for a mapping satisfying a new type of contractive condition involving a rational expression on a generalized metric space. Some main results by Ahmad et al. [J. Ahmad, M. Arshad, C. Vetro, Int. J. Anal., 2013 (2013), 6 pages] are extended and generalized, also several particular cases and an illustrative example are given.

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Keywords

• Fixed point
• metric space.

MSC

•  74H10
•  54H25

References

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