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Research Article | Open Access

Image restoration via Picard's and Mountain-pass Theorems

Souad Ayadi1, Ozgur Ege2( )
Science Department of Matter, Faculty of Science, Djilali Bounaama University, Khemis Miliana, Algeria
Department of Mathematics, Faculty of Science, Ege University, Bornova 35100, Izmir, Turkey
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Abstract

In this work, we present existence results for some problems which arise in image processing namely image restoration. Our essential tools are Picard's fixed point theorem for a strict contraction and Mountain-pass Theorem for critical point.

Keywords

image restorationfixed pointPicard TheoremMountain-pass Theoremimage processing

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Electronic Research Archive
Volume 30 Issue 3,
March 2022
Pages 1052-1061
DOI: 10.3934/era.2022055

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Cite this article:
Ayadi S, Ege O. Image restoration via Picard's and Mountain-pass Theorems. Electronic Research Archive, 2022, 30(3): 1052-1061. https://doi.org/10.3934/era.2022055

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Received: 01 December 2021
Revised: 02 February 2022
Accepted: 20 February 2022
Published: 15 March 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)