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非对称度量空间中的Takahashi极小化定理 被引量：1

An Extension of Takahashi's Minimization Theorem to Quasi-metric Spaces
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摘要 利用分析方法将Takahashi极小化定理推广到上完备的非对称度量空间这一情形;进一步,将所得结果应用到Caristi不动点定理和Ekelandε变分原理上. This paper extends Takahashi＇ s minimization theorem to upper complete quasi - metric spaces,which improves the results of Takahashi. Further more, this theorem is used to generalize Caristi＇ s fixed point theorem and Ekeland＇ s ε- variational principle.
作者 李文 黄堃 邹都
机构地区 平顶山学院
出处 《平顶山学院学报》 2009年第5期58-61,共4页 Journal of Pingdingshan University
关键词 非对称度量空间 极小化定理 CARISTI不动点定理 EKELAND ε变分原理 Quasi - metric space minimization theorem Caristi＇ s fixed point theorem Ekeland＇ s ε - var- iational principle
分类号 O177 [理学—基础数学]
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参考文献9

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同被引文献7

  • 1Caristi J. Fixed point theorems for mappings satisfying inwardness conditions [ J ]. Transactions of the American Mathematical Society, 1976,215:241 - 251.
  • 2Ekeland I. Nonconvex minimization problems [ J ]. Bulletin of the American Mathematical Society, 1979,1 (3) :443 - 474.
  • 3Takahashi W. Minimization theorems and fixed point theorems [ M ]//Tom Maruyama. Nonlinear Analysis and Mathematical Economics. Kyoto: Kyoto University Research Information Repository, 1993 : 175 - 191.
  • 4Al - Homidan S, Ansari Q H, Yao J C. Some generalizations of Ekeland - type variational principle with applications to equilibrium problems and fixed point theory [ J ]. Nonlinear Analysis: Theory, Methods & Applications, 2008,69 (1) :126 - 139.
  • 5Ansari Q H. Vectorial form of Ekeland - type variational principle with applications to vector equilibrium problems and fixed point theory[ J]. Journal of Mathematical Analysis and Applications ,2007,334 ( 1 ) : 561 -575.
  • 6Bae J S. Fixed point theorems for weakly contractive multivalued maps [ J ]. Journal of Mathematical Analysis and Applications, 2003,284 (2) : 690 - 697.
  • 7Suzuki T. Generalizations Caristi' s fixed point theorems by Bae and others [ J ]. Journal of Mathematical Analysis and Applications,2005,302 (2) :502 - 508.

引证文献1

平顶山学院学报
2009年 第5期

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