GENERALIZED H-KKM TYPE THEOREMS IN H-METRIC SPACES WITH APPLICATIONS

Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (10): 1140-1148.

GENERALIZED H-KKM TYPE THEOREMS IN H-METRIC SPACES WITH APPLICATIONS

丁协平, 夏福全

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

收稿日期:2000-03-03 修回日期:2001-03-20 出版日期:2001-10-18 发布日期:2001-10-18
基金资助:
the National Natural Science Foundation of China(19871059)

GENERALIZED H-KKM TYPE THEOREMS IN H-METRIC SPACES WITH APPLICATIONS

DING Xie-ping, XIA Fu-quan

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

Received:2000-03-03 Revised:2001-03-20 Online:2001-10-18 Published:2001-10-18
Supported by:
the National Natural Science Foundation of China(19871059)

摘要/Abstract

摘要： 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.

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.

中图分类号:

O177.92

丁协平;夏福全. GENERALIZED H-KKM TYPE THEOREMS IN H-METRIC SPACES WITH APPLICATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(10): 1140-1148.

DING Xie-ping;XIA Fu-quan. GENERALIZED H-KKM TYPE THEOREMS IN H-METRIC SPACES WITH APPLICATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(10): 1140-1148.

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GENERALIZED H-KKM TYPE THEOREMS IN H-METRIC SPACES WITH APPLICATIONS

GENERALIZED H-KKM TYPE THEOREMS IN H-METRIC SPACES WITH APPLICATIONS

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