Generalized <em>H</em>-KKM Type Theorems in <em>H</em>-Metric Spaces With Applications

DING Xie-ping; XIA Fu-quan

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DING Xie-ping, XIA Fu-quan. Generalized H-KKM Type Theorems in H-Metric Spaces With Applications[J]. Applied Mathematics and Mechanics, 2001, (10): 1029-1036.

Citation:

DING Xie-ping, XIA Fu-quan. Generalized H-KKM Type Theorems in H-Metric Spaces With Applications[J]. Applied Mathematics and Mechanics, 2001, (10): 1029-1036.

Citation:

DING Xie-ping, XIA Fu-quan. Generalized H-KKM Type Theorems in H-Metric Spaces With Applications[J]. Applied Mathematics and Mechanics, 2001, (10): 1029-1036.

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Generalized H-KKM Type Theorems in H-Metric Spaces With Applications

Department of Mathematics, Sichuan Normal University, Chengdu 610066, P R China

Received Date: 2000-03-03
Rev Recd Date: 2001-03-20
Publish Date: 2001-10-15

Abstract

Abstract

The new notions of H-metric spaces and generalized H-KKM mappings were introduced.Some generalized H-KKM type theorems for generalized H-KKM mappings with finitely metrically compactly closed values and finitely metrically compactly open values were established in H-metric spaces.These theorems generalize recent results of Khamsi and Yuan.As applications,some Ky Fan type matching theorems for finitely metrically compactly open covers and finitely metrically compactly closed covers,fixed point theorems and minimax inequality are obtained in H-metric spaces.These results generalize a number of known results in recent literature.
- hyperconvex space,
- H-metric space,
- finitely metrically compactly closed (open) set,
- generalized H-KKM mapping,
- admissible set

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References(10)

References

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