Random fixed point theorems for ultimately compact operators

Abstract

La clase de los operadores finalmente compactos en el sentido de Sadovski contiene las clases de operadores condensantes, compactos y contractivos. Se deducen teoremas de punto fijo para operadores estocásticos finalmente compactos superiormente semicontinuos, usando el grado de Leray-Schauder y sus generalizaciones a operadores determinísticos.

Ultimately compact operators in the sense of Sadovski contain the classes of condensing, of compact and contractive operators. Fixed-point theorems are derived for upper semicontinuous ultimately compact stochastic operators using the Leray-Schauder degree and its generalizations for deterministic operators