International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 1, Pages 111-118
doi:10.1155/S0161171292000139
Nonlinear random operator equations and inequalities in Banach spaces
Antonios Karamolegos
and Dimitrios Kravvaritis
Department of Mathematics, National Technical University of Athens, Zografou Campus, Athens 157 73, Greece
Abstract
In this paper we give some new existence theorems for nonlinear random equations and inequalities involving operators of monotone type in Banach spaces. A random Hammerstein integral equation is also studied. In order to obtain random solutions we use some results from the existing deterministic theory as well as from the theory of measurable multifunctions and, in particular, the measurable selection theorems of Kuratowski/Ryll-Nardzewski and of Saint-Beuve.