Title :
Fixed Point Theorems in Quasi-Metric Spaces
Author :
Chen, Shao-Ai ; Li, Wen ; Zou, Du ; Chen, Shao-Bai
Author_Institution :
Wuhan Inst. of Shipbuilding Technol., Wuhan
Abstract :
In this article, firstly, the necessary and sufficient condition of upper (lower) completeness is attained. Secondly, the notion of upper (lower) contraction of a mapping between quasi-metric spaces is put forward. Considering the asymmetric of quasi-metrics, the concept of left (right) fixed point of a mapping from a quasi-metric space to itself is proposed. Finally, two fixed point theorems in quasi-metric spaces are obtained.
Keywords :
learning (artificial intelligence); fixed point theorems; left fixed point; quasi-metric spaces; upper contraction; Application software; Computer science; Cybernetics; Educational institutions; Forward contracts; Machine learning; Mechanical engineering; Space technology; Sufficient conditions; Topology; Left fixed point; Quasi-metric space; Upper Cauchy sequence; Upper completeness; Upper contraction;
Conference_Titel :
Machine Learning and Cybernetics, 2007 International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-0973-0
Electronic_ISBN :
978-1-4244-0973-0
DOI :
10.1109/ICMLC.2007.4370567
