Banach fixed point theorem for digital images

Volume 8, Issue 3, pp 237--245 http://dx.doi.org/10.22436/jnsa.008.03.08

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Authors

Ozgur Ege - Department of Mathematics, Celal Bayar University, Muradiye, 45140, Manisa, Turkey. Ismet Karaca - Departments of Mathematics, Ege University, Bornova, 35100, Izmir, Turkey.

Abstract

In this paper, we prove Banach fixed point theorem for digital images. We also give the proof of a theorem which is a generalization of the Banach contraction principle. Finally, we deal with an application of Banach fixed point theorem to image processing.

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Keywords

• Digital image
• fixed point
• Banach contraction principle
• digital contraction.

MSC

•  47H10
•  54E35
•  68U10

References

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