Generalized contraction mapping principle in locally convex topological vector spaces

Abstract

The purpose of this paper is to present the concept of contraction mapping in a locally convex topological vector spaces and to prove the generalized contraction mapping principle in such spaces. The neighborhoodtype error estimate formula was also established. The results of this paper improve and extend Banach contraction mapping principle in new idea.

Multivariate contraction mapping principle with the error estimate formulas in locally convex topological vector spaces and application

“…Very recently, Tang et al [19] presented the concept of contraction mapping in a locally convex topological vector spaces and proved the generalized contraction mapping principle in such spaces.…”