期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

锥度量空间中的一些新的拓扑性质（英文）

SOME NEW TOPOLOGICAL PROPERTIES IN CONE METRIC SPACES
下载PDF
导出
摘要 本文给出了锥度量空间中的锥的一些性质.利用完备性概念,得到了此空间中的闭球套定理,改进了前人在度量空间中的相应结果. In this paper, we study some properties with respect to cones in cone metric spaces. By using the notions of completeness, we obtain nested closed-ball theorem in such spaces, which improves some previous conclusions in metric spaces.
作者 黄华平 许绍元
机构地区 湖北师范学院数学与统计学院
出处 《数学杂志》 CSCD 北大核心 2015年第3期513-518,共6页 Journal of Mathematics
基金 Supported by the Foundation of Education Ministry of Hubei Province(D20102502)
关键词 正规锥 锥度量空间 闭球套定理 normal cone cone metric space nested closed-ball theorem
分类号 O177.91 [理学—基础数学]
  • 相关文献

参考文献11

  • 1Deimling K. Nonlinear functional analysis[M]. Berlin: Springer-verlag, 1985.
  • 2Jankovic S, Kadelburg Z, Radenovic S. On cone metric spaces: A survey[J]. Nonlinear Analysis, 2011, (74): 2591-260l.
  • 3Huang L G, Zhang X. Cone metric spaces and fixed point theorems of contractive mappings[J]. J. Math. Anal. Appl., 2007, (332): 1468-1476.
  • 4Rezapour S H, Hamlbarani R. Some notes on the paper "Cone metric spaces and fixed point theorems of contractive mappings"[J]. J. Math. Anal. Appl., 2008, (345): 719-724.
  • 5Alimohammady M, Balooee J. Conditions of regularity in cone metric spaces[J]. Applied Mathematics and Computation, 2011, (217): 6359-6363.
  • 6Rezapour Sh, Derafshpour M, Hamlbarani R. A review on topological properties of cone metric spaces[J]. Analysis and Topological Application, 2008, (13): 163-17l.
  • 7黄华平.锥度量空间中锥的非正规性条件(英文)[J].应用数学,2012,25(4):894-898. 被引量：8
  • 8张宪.锥度量空间的若干拓扑性质[J].应用泛函分析学报,2012,14(1):79-83. 被引量：5
  • 9Song G X, Sun X Y, Zhao Y. New common fixed point theorems for maps on cone metric spaces[J]. Applied Mathematics Letters, 2010, (23): 1033-1037.
  • 10Farajzadeh A P, Arnini-Harandi A, Baleanu D. Fixed point theory for generalized contractions in cone metric spaces[J], Commun Nonlinear Sci Numer Simulat, 2012, (17): 708-712.

二级参考文献15

  • 1孔德洲,丁协平.乘积拓扑矢量空间中的不动点定理和广义矢量平衡问题组[J].应用泛函分析学报,2006,8(1):77-82. 被引量：2
  • 2Mustafa Z,Sims B.Some remarks concerning D-metric spaces[J].Proc Int Conf on Fixed Point Theory and Appl,Valencia(Spain),2003,7:189-198.
  • 3Mustafa Z,Sims B.A new approach to generalized metric spaces[J].J of Nonlinear and Convex Anal, 2006,7(2):289-297.
  • 4Dhage B C.On generalized metric spaces and topological structureⅡ[J].Pure and Applied Mathematika Sci,1994,40:37-41.
  • 5Huang L-G,Zhang X.Cone metric spaces and fixed point theorems of contractive mappings[J].J Math Anal Appl,2007,332:1468-1476.
  • 6Gnana T,Bhaskar,V Lakshmikantham,Fixed point theorems in partially ordered metric spaces and applications[J].Nonlinear Analysis,2006,65:1379-1393.
  • 7Donal O'Regan,Adrian Petrusel,Fixed point theorems for generalized contractions in ordered metric spaces[J].J Math Anal Appl,2008,341:1241-1252.
  • 8Rezapour Sh and R Hamlbarani,Some notes on the paper"Cone metric spaces and fixed point theorems of contractive mappings"[J].J Math Anal Appl,2008,345(2):719-724.
  • 9Kantorovich Lv. On some further applications of the Newton approximation method[J]. Vestn LeningrUniv. Ser. Mat. Mekh Astron. ,1957,12:68-103.
  • 10Vandergraft Js. Newton's method for convex operators in partially ordered spaces[J]. Siam J. Numer. A-nal. ,1967,4:406-432.

共引文献11

数学杂志
2015年 第3期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部