Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (9): 815-829.

• Articles • Previous Articles     Next Articles

NONLINEAR SEMIGROUPS AND DIFFERENTIAL INCLUSIONS IN PROBABILISTIC NORMED SPACES

Zhang Shisheng, Chen Yuqing   

  1. Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China
  • Received:1996-12-30 Revised:1998-02-20 Online:1998-09-18 Published:1998-09-18
  • Supported by:

    Project supported by the National Natural Science Foundation of China

Abstract: The purpose of this poper is to introduce and study the semi-groups of nonlinearcontractions in probabilislic normed spaces and to establish the Crandall-Linggett's exponential formula for some kind of accrelive mappings in probabilistic normed spaces. As applications. these results are utilized to study, the Cauchy problem for akind of differential inclusions with accretive mappings in probabilistic normed spaces.

Key words: semigroup of nonlinear contractions, probabilistic normed space, Crandall-Liggetts exponential formula, semi-inner product.accretive mappings

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