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


Authors

Yongchun Xu - Department of Mathematics, College of Science, Hebei North University, Zhangjiakou 075000, China. Jinyu Guan - Department of Mathematics, College of Science, Hebei North University, Zhangjiakou 075000, China. Yanxia Tang - Department of Mathematics, College of Science, Hebei North University, Zhangjiakou 075000, China. Yongfu Su - Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China.


Abstract

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.


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ISRP Style

Yongchun Xu, Jinyu Guan, Yanxia Tang, Yongfu Su, Multivariate contraction mapping principle with the error estimate formulas in locally convex topological vector spaces and application, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 3, 1064--1074

AMA Style

Xu Yongchun, Guan Jinyu, Tang Yanxia, Su Yongfu, Multivariate contraction mapping principle with the error estimate formulas in locally convex topological vector spaces and application. J. Nonlinear Sci. Appl. (2017); 10(3):1064--1074

Chicago/Turabian Style

Xu, Yongchun, Guan, Jinyu, Tang, Yanxia, Su, Yongfu. "Multivariate contraction mapping principle with the error estimate formulas in locally convex topological vector spaces and application." Journal of Nonlinear Sciences and Applications, 10, no. 3 (2017): 1064--1074


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