THE EMBEDDED THEOREM FOR FAMILY OF QUASI METRIC SPACES IN MENGER SPACE AND ITS APPLICATION

Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (5): 455-461.

THE EMBEDDED THEOREM FOR FAMILY OF QUASI METRIC SPACES IN MENGER SPACE AND ITS APPLICATION

刘作述¹, 郑权²

1. Dept. of Math, and Physics, Wuhan University of Technology, Wuhan;
2. Dept. of Math., Huazhong University of Science and Technology, Wuhan

收稿日期:1986-10-25 出版日期:1990-05-18 发布日期:1990-05-18

THE EMBEDDED THEOREM FOR FAMILY OF QUASI METRIC SPACES IN MENGER SPACE AND ITS APPLICATION

Liu Zuo-shu¹, Zheng Quan²

1. Dept. of Math, and Physics, Wuhan University of Technology, Wuhan;
2. Dept. of Math., Huazhong University of Science and Technology, Wuhan

Received:1986-10-25 Online:1990-05-18 Published:1990-05-18

摘要/Abstract

摘要： In this paper the notion of embedding for family of quasi metric spaces in Menger spaces is introduced and its properties are investigated. A common fixed point theorem for sequence of continuous mappings in Menger spaces is proved. These mappings are assumed to satisfy some generalizations of the contraction condition. The proving technique herein seems to be new even for mappings in Menger spaces.

关键词: two-degree-of-freedom bifurcation system, elastic cable, singularity analysis

Abstract: In this paper the notion of embedding for family of quasi metric spaces in Menger spaces is introduced and its properties are investigated. A common fixed point theorem for sequence of continuous mappings in Menger spaces is proved. These mappings are assumed to satisfy some generalizations of the contraction condition. The proving technique herein seems to be new even for mappings in Menger spaces.

Key words: two-degree-of-freedom bifurcation system, elastic cable, singularity analysis

刘作述;郑权. THE EMBEDDED THEOREM FOR FAMILY OF QUASI METRIC SPACES IN MENGER SPACE AND ITS APPLICATION[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(5): 455-461.

Liu Zuo-shu;Zheng Quan. THE EMBEDDED THEOREM FOR FAMILY OF QUASI METRIC SPACES IN MENGER SPACE AND ITS APPLICATION[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(5): 455-461.

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THE EMBEDDED THEOREM FOR FAMILY OF QUASI METRIC SPACES IN MENGER SPACE AND ITS APPLICATION

THE EMBEDDED THEOREM FOR FAMILY OF QUASI METRIC SPACES IN MENGER SPACE AND ITS APPLICATION

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