Open AccessImage restoration via Picard's and Mountain-pass Theorems
Author(s) -
Souad Ayadi,
Özgür Ege
Publication year - 2022
Publication title -
electronic research archive
Language(s) - English
Resource type - Journals
ISSN - 2688-1594
DOI - 10.3934/era.2022055
Subject(s) - mathematics , fixed point theorem , contraction (grammar) , image (mathematics) , mountain pass , pure mathematics , calculus (dental) , discrete mathematics , mathematical analysis , computer science , computer vision , philosophy , linguistics , medicine , dentistry
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.