Abstract
In this paper, we prove some random fixed point theorem for the sum of a weakly-strongly continuous random operator and a nonexpansive random operator in Banach spaces. Our results are the random versions of some deterministic fixed point theorems of Edmund (Math. Ann. 174:233-239, 1967), O’Regan (Appl. Math. Lett. 9:1-8, 1996) and some known results in the literature.
Highlights
Probabilistic functional analysis has emerged as one of the momentous mathematical disciplines in view of its requirements in analyzing probabilistic models in applied problems
The study of random fixed point theorems was initiated by the Prague school of probabilists in s
Spacek [ ] and Hans [ ] have proved the stochastic analogue of a Banach fixed point theorem in a separable metric space
Summary
Probabilistic functional analysis has emerged as one of the momentous mathematical disciplines in view of its requirements in analyzing probabilistic models in applied problems.
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