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非对称度量空间中广义Caristi不动点定理

Generalized Caristi's Fixed Point Theorems in Quasi-metric Space
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摘要 将非对称度量空间中Caristi不动点定理从单值映射拓广到集值映射情形,进一步地,得到了几个广义Caristi不动点定理. In quasi-metric space,a fixed point theorem of Caristi type for single-valued maps is extended to the case of multivalued maps,and furthermore,some generalizations of the Caristi＇s fixed point theorem are shown.
作者 李文 邹都
机构地区 平顶山学院
出处 《平顶山学院学报》 2010年第5期11-13,共3页 Journal of Pingdingshan University
关键词 非对称度量空间 集值映射 广义Caristi不动点定理 quasi-metric space multivalued maps generalized Caristi＇s fixed point theorem
分类号 O177 [理学—基础数学]
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参考文献8

  • 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.
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  • 4李文,黄堃,邹都.非对称度量空间中的Takahashi极小化定理[J].平顶山学院学报,2009,24(5):58-61. 被引量：1
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二级参考文献9

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  • 7Caristi J. Fixed point theorems for mappings satisfying inwardness conditions [ J ]. Trans Amer Math Soc, 1976 (215) :241 -251.
  • 8Ekeland I. Nonconvex minimization problems[ J ]. Bull Amet Math Soc, 1979,1 (3) :443 - 474.
  • 9Takahashi W, Minimization theorems and fixed point theorems[ J]. Nonlinear Analysis and Mathematical Economics, 1993,829 : 175 - 191.
平顶山学院学报
2010年 第5期

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