Fixed points and functional equation problems via cyclic admissible generalized contractive type mappings

Volume 9, Issue 3, pp 1129--1142 http://dx.doi.org/10.22436/jnsa.009.03.40

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Authors

Abdul Latif - Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah, 21589, Saudi Arabia. Huseyin Isik - Department of Mathematics, Faculty of Science, University of Gazi, 06500-Teknikokullar, Ankara, Turkey. - Department of Mathematics, Mus Alparslan University, Mus 49100, Turkey. Arslan H. Ansari - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.

Abstract

In this paper, we present some fixed point theorems for cyclic admissible generalized contractions involving C-class functions and admissible mappings in metric-like spaces. We obtain some new results which extend and improve many recent results in the literature. In order to illustrate the effectiveness of the obtained results, several examples and applications to functional equations arising in dynamic programming are also given.

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Keywords

• Common fixed point
• C-class functions
• admissible mappings
• partial metric space
• metric-like space.

MSC

•  47H10
•  54H25

References

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