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
Pages
7
From page
4659
To page
4665
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
Serial Year
2016
Journal title
Journal of Nonlinear Science and Applications
Record number
2476102
Link To Document