A study of some properties of an n-order functional inclusion

Abstract

The purpose of this paper is to study the solution set of the functional inclusion of n-th order of the following form:where the function G : X × Y n −→ P cl,cv (Y ) and f 1 , f 2 , ..., f n : X −→ X are given. The approach is based on some fixed point theorems for multivalued operators, satisfying the nonlinear contraction condition, see [