On Nonlinear Equations for -Contractor Couple in Fuzzy Normed Spaces

Abstract

ABSTRACT:In this chapter, I introduce the concept of -contractor couple in fuzzy normed spaces, which extends the concept of -contractor in fuzzy normed spaces given by Fang and Song [7]. By using the concept of -contractor couple we investigate the existence of solutions for set-valued nonlinear operator equations. As an application of our main theorem, a new fixed point theorem in fuzzy normed spaces is obtained. Our results improve and extend the results of Fang and Song [7].