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

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

Liu Zuo-shu1, Zheng Quan2   

  1. 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

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

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