Title of article :
Generalized contraction mapping principle in locally convex topological vector spaces
Author/Authors :
Tang ، Yanxia - Hebei North University , Guan ، Jinyu - Hebei North University , Ma ، Pengcheng - Hebei North University , Xu ، Yongchun - Hebei North University , Su ، Yongfu - Tianjin Polytechnic University
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 neighborhood type error estimate formula was also established. The results of this paper improve and extend Banach contraction mapping principle in new idea.
Keywords :
Contraction mapping principle , locally convex , topological vector spaces , fixed point , error estimate formula
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
