Korean J. Math. Vol. 26 No. 4 (2018) pp.809-822
DOI: https://doi.org/10.11568/kjm.2018.26.4.809

Complex valued dislocated metric spaces

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Published: Dec 30, 2018
Keywords:
Fixed point, dislocated metric space, Banach contraction principle
Mathematics Subject Classification:
47H10, 54H25

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Ozgur Ege
Department of Mathematics Ege University Izmir 35100, Turkey
Ismet Karaca
Department of Mathematics Ege University Izmir 35100, Turkey

Abstract

In this paper, we introduce complex valued dislocated metric spaces. We prove Banach contraction principle, Kannan and Chatterjea type fixed point theorems in this new space. Moreover, we give some applications of the results to differential equations and iterated functions.


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References

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