In this paper, some random fixed point theorems for continuous and condensing multi-valued random operators are proved and they are further applied to the random integral inclusions for proving the existence of the solutions via the priori bound method.

In this paper a fixed point theorem for condensing maps combined with upper and lower solutions are used to investigate the existence of solutions for second order differential inclusions with periodic boundary conditions.

Type II fatty acid synthesis (FASII) is vital for bacterial membrane biogenesis. The first condensation step in the pathway is carried out by -ketoacyl-acyl carrier protein (ACP) synthase III, or FabH, and subsequent condensation reactions are executed by the FabB/F family of enzymes. The prototypical FabH activity of Escherichia coli catalyzes the condensation of acetyl coenzyme A (acetyl-CoA)...

We give some results concerning the existence of tripled fixed points for a class of condensing operators in Banach spaces. Further, as an application, we study the existence of solutions for a general system of nonlinear integral equations.

In this paper we investigate the existence of mild solutions to second order initial value problems for a class of delay integrodifferential inclusions with nonlocal conditions. We rely on a fixed point theorem for condensing maps due to Martelli.

We investigate the existence of solutions to first order initial value problems for differential inclusions subject to impulsive effects. We shall rely on a fixed point theorem for condensing maps to prove our results.

In this paper a fixed point theorem for condensing maps combined with upper and lower solutions are used to investigate the existence of solutions for first order differential inclusions with general nonlinear boundary conditions.