Generalized contraction mapping principle in locally convex topological vector spaces


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.


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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


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