Random fixed point theorems for lower semicontinuous condensing random operators

TL;DR

This paper establishes the existence of random fixed points for lower semicontinuous condensing random operators in Banach spaces, extending previous results in the literature.

Contribution

It introduces new fixed point theorems for a broader class of random operators, enhancing the theoretical framework in this area.

Findings

Existence of random fixed points for lower semicontinuous condensing operators.

Extension of classical fixed point results to random operators.

Applicable to Banach space settings.

Abstract

In this paper, we study the existence of the random fixed points for lower semicontinuous condensing random operators defined on Banach spaces. Our results extend corresponding ones present in literature.