A study of a system of operator inclusions via a fixed point approach and applications to functional-differential inclusions


Petrușel, Adrian, Petrușel, Gabriela and Yao, Jen-Chih


Abstract

carpathian_2016_32_3_349_361_abstract

In this paper, some existence results for a system of operator inclusions are presented. Qualitative properties of the solution set are also discussed. The method is based on the application of a fixed point theorem for an appropriate operator on the Cartesian product of the given spaces. The approach is new even for the case of the metric spaces. As an application, an existence result for a mixed boundary and initial value problem for a system of second order differential inclusions is given.

Additional Information

Author(s)

Gabriela, Petrușel, Petrușel, Adrian, Yao, Jen-Chih