Some random approximation theorems with applications. (English) Zbl 0931.60054

Beg, Ismat; Shahzad, Naseer

Nonlinear Anal., Theory Methods Appl. 35, No. 5, A, 609-616 (1999).

In the first part, the authors prove the existence of random approximations and random fixed points for continuous one-set-contractive random operators defined on a closed ball in a Banach space. Slightly more general results of this sort were already given by L.-S. Liu [Proc. Am. Math. Soc. 125, No. 2, 515-521 (1997; Zbl 0869.47031)]. Then they study the existence of generalized random approximations and random coincidence points for two continuous random operators \(f\) and \(g\) defined on a compact and convex subset of a Banach space, where \(g\) is almost affine.

Reviewer: A.Nowak (Katowice)

MSC:

60H25	Random operators and equations (aspects of stochastic analysis)
47H40	Random nonlinear operators
47H10	Fixed-point theorems

Keywords:

random approximations; random fixed points; random operators

Citations:

Zbl 0869.47031

References:

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