Applications of Fixed-Point Results to Image Processing

Afrah Ahmad Noman Abdou ()
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Afrah Ahmad Noman Abdou: Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, P. O. Box 80327, Jeddah 21589, Saudi Arabia

Mathematics, 2025, vol. 13, issue 21, 1-28

Abstract: The primary objective of this study is to establish common fixed-point theorems for single-valued and multivalued mappings in the setting of complex-valued suprametric spaces. A new contraction is introduced for single-valued mappings, while a generalized Hausdorff distance aids in proving results for multivalued mappings. Additionally, fixed-point theorems are extended to complex-valued metric spaces. An example illustrates the findings, and an application to Fredholm integral equations demonstrates their role in image processing.

Keywords: fixed points; complex-valued suprametric spaces; Fredholm integral equation; image processing (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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