Applied Mathematics and Mechanics (English Edition) ›› 1982, Vol. 3 ›› Issue (3): 383-392.

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RANDOM FIXED POINT THEOREMS FOR COMMUTING RANDOM OPERATORS IN PROBABILISTIC FUNCTIONAL ANALYSIS

Chang Shih-sen   

  1. Sichuan University, Chengdu
  • Received:1981-10-24 Online:1982-05-18 Published:1982-05-18

Abstract: Random fixed point theorems are of fundamental importance in probabilistic functional analysis. In complete separable metric space random fixed point theorems have been discussed by Bharucha-Reidf1/27, Hans[3], Itohf4,5J and the author’s papers[15-20].In this paper we obtain a random fixed point theorem for commuting random operators in probabilistic functional analysis. Our results generalize some important results also extend and unify some results in Jungck[6,7,8]t Das and Naiki[9] as well as Bhoades[10] adn ciric[11].

Key words: shock wave solution, solitary wave solution, nonlinear PDE, trial function method

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