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The purpose of this paper is to present the concept of multivariate contraction mapping in a locally convex topological vector spaces and to prove the multivariate contraction mapping principle in such spaces. The neighborhood-type error estimate formulas are also established. The results of this paper improve and extend Banach contraction mapping principle in the new idea. c ©2017 All rights reserved.

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