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

Authors

  • Laboratory of Applied Mathematics, Faculty of Exact Sciences, Bejaia University, 06000 Bejaia, Algeria
  • Bejaia University
  • Departement of Mathematics, Babe\c{s}--Bolyai University, 400084 Cluj-Napoca, Romania

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

How to Cite

A vector version of the fixed point theorem of cone compression and expansion for a sum of two operators. (2020). Nonlinear Studies, 27(3). https://www.nonlinearstudies.com/index.php/nonlinear/article/view/1787