Some fixed point theorems of contractive mappings in K-distance space are given.

A Multi-Objective Evolutionary Algorithm Based on Spatial Distance

In order to improve the remains ratio of the image edge in the gray processing,considering the method of improved gray processing based on color spatial distance.

Based on combination of coordinate and attribute, three spatial distance measurements are defined.

Solution of Transform Formula between Image Pixel Distance and Space Distance

From grey relational analysis,this paper used a space distance formula that put together the best relational degree with the worst relational degree.

This method first construct eigenfaces vectors for every images in face database,second computes space distance with new image for every database face images to decide it is or not a face image.

It defines grey incident degree in the distance space and linear norm space and defines grey incident degree in some specific linear norm space.

By the expansion of Hamming distance, a new geometry model-distance space is introduced.

According to the definition of upper limit and lower limit of function on a certain spot in the distance space,and the definition of upper continuity and lower continuity of function on a certain spot,the article proves the equivalence condition of the upper continuity of function on a certain spot.

The common fixed points and its iteration are discussed on compact metric space for some nonexpansive mappings,which improve seelbach and Ding xieping′s main results.

The semantics of OCCAM/TOY is presented in the mathematical framework for complete metric spaces.

This thesis, according to the 10-year-long lectures on the theory of metric space in different courses, summaries a few points , which should be paid attention to, on how to well explain the concepts of metric and metric space.

Vector-valued pseudo almost periodic functions in metric spaces;