Electronic Research Archive (Mar 2022)

Image restoration via Picard's and Mountain-pass Theorems

  • Souad Ayadi ,
  • Ozgur Ege

DOI
https://doi.org/10.3934/era.2022055
Journal volume & issue
Vol. 30, no. 3
pp. 1052 – 1061

Abstract

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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