FIXED-POINT THEOREMS FOR MULTIFUNCTIONS WITH STOCHASTIC DOMAIN

In this paper we prove two random fixed point theorems for beta-contractions with stochastic domain which are upper semicontinuous. We also prove two fixed point theorems for random beta-condensing, upper semicontinuous multifunctions with stochastic domain and a fixed point theorem for d-continuous multifunctions. Finally we obtain a result linking approximation and fixed point theories. Our results extend several earlier theorems existing in the literature.