Applications of Fixed-Point Results to Image Processing

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.