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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 被引量：2

Fixed Point Theorem and System of Generalized Vector Equilibrium Problems in the Product Space of Topological Vector Spaces
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摘要 利用零调映象的一个不动点定理,在乘积拓扑矢量空间内得到了某些新的不动点定理,作为应用,在乘积拓扑矢量空间内,对一类广义矢量平衡问题组证明了一些平衡存在性定理,这些定理推广了近期文献中的一些重要的已知结果. In this paper, by applying a fixed point theorem of acyclic map, some new fixed point theorems in the product space of topological vector spaces are obtained. As applications, some equilibrium existence theorems for a system of generalized vector equilibrium problems are proved in the product space of topological vector spaces. These theorems generaliz many important known results in the recent literature.
作者 孔德洲 丁协平
机构地区 山东农业大学信息科学与工程学院 四川师范大学数学与软件科学学院
出处 《应用泛函分析学报》 CSCD 2006年第1期77-82,共6页 Acta Analysis Functionalis Applicata
基金 四川省教育厅重点科研基金([2000]25)
关键词 不动点 零调映象 允许集 广义矢量平衡组 fixed point acyclic map admissible set system of generalized vector equilibrium problems
分类号 O177.91 [理学—基础数学]
  • 相关文献

参考文献15

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二级参考文献22

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共引文献2

同被引文献15

  • 1Mustafa 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.
  • 2Mustafa Z,Sims B.A new approach to generalized metric spaces[J].J of Nonlinear and Convex Anal, 2006,7(2):289-297.
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  • 4Huang L-G,Zhang X.Cone metric spaces and fixed point theorems of contractive mappings[J].J Math Anal Appl,2007,332:1468-1476.
  • 5Gnana T,Bhaskar,V Lakshmikantham,Fixed point theorems in partially ordered metric spaces and applications[J].Nonlinear Analysis,2006,65:1379-1393.
  • 6Donal O'Regan,Adrian Petrusel,Fixed point theorems for generalized contractions in ordered metric spaces[J].J Math Anal Appl,2008,341:1241-1252.
  • 7Rezapour 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.
  • 8熊金诚.点集拓扑讲义[M].3版.北京:高等教育出版社,2003.
  • 9Huang L G, Zhang X. Cone metric spaces and fixed point theorems of contractive mappings E J ]- Jounal of Mathemati- cal Analysis and Apphcation,2007 ,332 :1468-1476.
  • 10Mnstafa Z, Sims B. Some remarks concerning D -metric spaces [J ]. Proceedings of Internatinal Conference on Fixed Point Theory, Valencia (Spain) ,2003 (7) : 189-198.

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应用泛函分析学报
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