超凸度量空间上的Cellina逼近定理及其应用

J4 ›› 2010, Vol. 45 ›› Issue (12): 75-77.

超凸度量空间上的Cellina逼近定理及其应用

杨少华¹,梁峰²

1.阜阳师范学院数学与计算科学学院, 安徽阜阳 236041;
2.安徽师范大学数学计算机科学学院, 安徽芜湖 241000

收稿日期:2010-03-10 出版日期:2010-12-16 发布日期:2011-03-16
作者简介:杨少华(1977-),男,讲师,硕士,研究方向为应用数学. Email: yangshaohua3333@163.com
基金资助:
安徽高等学校省级自然科学基金资助项目(KJ2010B431)

Cellina approximation theorem in a hyperconvex metric space and its applications

YANG Shao-hua¹, LIANG Feng²

1. School of Mathematics and Computational Science, Fuyang Teachers College, Fuyang 236041, Anhui, China;
2. College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui, China

Received:2010-03-10 Online:2010-12-16 Published:2011-03-16

摘要/Abstract

摘要：

在超凸度量空间上给出了Cellina逼近定理,并由此定理给出了一个超凸度量空间上集值映射的不动点定理。

关键词: 超凸度量空间;允许集;集值映射;上半连续;不动点定理

Abstract:

The Cellina approximation theorem is proved in a hyperconvex metric space. A fixed point theorem is obtained in a hyperconvex metric space based on the Cellina approximation theorem.

Key words: hyperconvex metric space; admissible set; set-valued mapping; upper semi-continuity; fixed point theorem

杨少华1,梁峰2. 超凸度量空间上的Cellina逼近定理及其应用[J]. J4, 2010, 45(12): 75-77.

YANG Shao-hua1, LIANG Feng2. Cellina approximation theorem in a hyperconvex metric space and its applications[J]. J4, 2010, 45(12): 75-77.

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