Generalized Contraction Mapping Principle in Intuitionistic Menger Spaces and Application to Differential Equations

Abstract

Using the idea of Atanassov, we define the notion of intuitionistic Menger spaces as a netural generalizations of Menger spaces due to Menger. We also obtain a new generalized contraction mapping and utilize this contraction mapping to prove the existence theorems of solutions to differential equations in intuitionistic Menger spaces. © 2007 Editorial Committee of Appl. Math. Mech.