NONEXPANSIVE OPERATORS ASSOCIATED TO A SYSTEM OF INTEGRAL EQUATIONS WITH DEVIATING ARGUMENT

  • MONICA LAURAN
    Department of Mathematics, North University Center at Baia Mare, Technical University of Cluj-Napoca, Victoriei 76, 430122 Baia Mare, ROMANIA
    lauranmonica@yahoo.com

Abstract

In this paper we shall establish two results on the existence in C_{L}([a,b];[a,b]²) of the solutions of a system of iterative integral equations. The main tools used in our study are the nonexpansive operator technique and Schauder's fixed point theorem.

Cuvinte cheie

system of integral equations existence of solutions nonexpansive mapping