GENERAL RANDOM FIXED POINT THEOREM AND ITS APPLICATIONS

Abstract

Abstract: In this paper,we obtain a general random fixed point theorem which generalizes the main results of Engle[4,7] and Bocsan[8]. The usefulness of this theorem seems to lie in the fact that unlike many random fixed point theorems obtained by using special methods[1,4,5-13] can be proved by using out general theorem (Theorem 1 and Corollaries 1 and 2). Finally,we indicate some possible applications of our results to nonlinear random integral and differential equations.

Key words: Euler equation, finite difference method, numerical simulation, Crank-Nicolson scheme

Ding Xie-ping . GENERAL RANDOM FIXED POINT THEOREM AND ITS APPLICATIONS. Applied Mathematics and Mechanics (English Edition), 1984, 5(5): 1667-1678.

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