Some random fixed point theorems for condensing operators

Author:

Sehgal V. M.,Waters Charles

Abstract

In this paper we obtain several random fixed point theorems including a stochastic generalization of the classical Rothe fixed point theorem. The results herein improve a recent result of Bharucha-Reid and Mukherjea and also some similar results of Itoh.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference7 articles.

1. Fixed point theorems in probabilistic analysis;Bharucha-Reid, A. T.;Bull. Amer. Math. Soc.,1976

2. Mathematics in Science and Engineering, Vol. 96;Bharucha-Reid, A. T.,1972

3. Proximity maps for convex sets;Cheney, Ward;Proc. Amer. Math. Soc.,1959

4. Extensions of two fixed point theorems of F. E. Browder;Fan, Ky;Math. Z.,1969

5. Random fixed-point theorems with an application to random differential equations in Banach spaces;Itoh, Shigeru;J. Math. Anal. Appl.,1979

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