Generalized metric spaces: A survey

被引：0
作者：
M. A. Khamsi
机构：
[1] The University of Texas at El Paso,Department of Mathematical Science
[2] King Fahd University of Petroleum & Minerals,Department of Mathematics and Statistics
来源：
Journal of Fixed Point Theory and Applications | 2015年 / 17卷
关键词：
Primary 47H09; Secondary 46B20; 47H10; 47E10; Banach contraction principle; cone metric spaces; fixed point; generalized metric spaces; Menger spaces; -metric spaces; -metric spaces; modular metric spaces; partially ordered metric spaces;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Banach’s contraction mapping principle is remarkable in its simplicity, yet it is perhaps the most widely applied fixed point theorem in all of analysis with special applications to the theory of differential and integral equations. Because the underlined space of this theorem is a metric space, the theory that developed following its publication is known as the metric fixed point theory. Over the last one hundred years, many people have tried to generalize the definition of a metric space. In this paper, we survey the most popular generalizations and we discuss the recent uptick in some generalizations and their impact in metric fixed point theory.
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页码：455 / 475
页数：20
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