H-partial uniform spaces and their application in the compression of digital images

Abstract

Fixed point theorem is very important tool in different branches of mathematics. In this paper, we introduce partial uniform spaces as a generalization of uniform spaces and metric spaces; and study some basic properties. Various examples support the theory. We prove fixed point theorems for H-partial uniform spaces, by using a mapping called E-distance function. Finally, we give the applications of these fixed point theorems to compress digital images.

Keywords

• uniform spaces
• uniformly continuous maps
• fixed point theorems
• probe functions