Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (6): 495-505.

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TOPOLOGICAL DEGREE THEORY AND FIXED POINT THEOREMS IN PROBABILISTIC METRIC SPACES

Zhang Shi-sheng, Chen Yu-qing   

  1. Department of Mathematics, Sichuan University, Chengdu
  • Received:1987-11-25 Online:1989-06-18 Published:1989-06-18
  • Supported by:
    The projects supported by National Natural Science Foundation of China

Abstract: The Leray-Schauder topological degree theory is established in the probabilistic linear normed spaces. Based on this theory, some fixed point theorems for mappings in the probabilistic linear normed spaces are shown.

Key words: modified particle swarm method, surrogate model, modified back propagation (BP) neutral network, supercritical character, robust design

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