# A vector version of the fixed point theorem of cone compression and expansion for a sum of two operators

### Abstract

In this work, we establish a vector version of fixed point theorem of cone compression and expansion for an expansive operator with constant h>1 perturbed by a k-set contraction when 0\leq k<h-1. We give the compression-expansion conditions on components to allow the nonlinear term of a system to have different behaviors both in components and in variables. An example is given to illustrate our theoretical result.

Published

2020-08-20

Section

Articles