Generalized contraction mapping principle in locally convex topological vector spaces
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Authors
Yanxia Tang
- Department of Mathematics, Hebei North University, Zhangjiakou 075000, P. R. China.
Jinyu Guan
- Department of Mathematics, Hebei North University, Zhangjiakou 075000, P. R. China.
Pengcheng Ma
- Department of Mathematics, Hebei North University, Zhangjiakou 075000, P. R. China.
Yongchun Xu
- Department of Mathematics, Hebei North University, Zhangjiakou 075000, P. R. China.
Yongfu Su
- Department of Mathematics, Tianjin Polytechnic University, 300387, P. R. China.
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.
Share and Cite
ISRP Style
Yanxia Tang, Jinyu Guan, Pengcheng Ma, Yongchun Xu, Yongfu Su, Generalized contraction mapping principle in locally convex topological vector spaces, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 4659--4665
AMA Style
Tang Yanxia, Guan Jinyu, Ma Pengcheng, Xu Yongchun, Su Yongfu, Generalized contraction mapping principle in locally convex topological vector spaces. J. Nonlinear Sci. Appl. (2016); 9(6):4659--4665
Chicago/Turabian Style
Tang, Yanxia, Guan, Jinyu, Ma, Pengcheng, Xu, Yongchun, Su, Yongfu. "Generalized contraction mapping principle in locally convex topological vector spaces." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 4659--4665
Keywords
- Contraction mapping principle
- locally convex
- topological vector spaces
- fixed point
- error estimate formula.
MSC
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