Some Equivalent Conditions for the Differentiability of Continuous Gauge Functions on Banach Space

数学季刊 ›› 1992, Vol. 7 ›› Issue (4): 84-88.

Some Equivalent Conditions for the Differentiability of Continuous Gauge Functions on Banach Space

Department of Mathematics Anhui Normal University,,Wuhu 241000

收稿日期:1991-07-12 出版日期:1992-12-30 发布日期:2025-06-25

Some Equivalent Conditions for the Differentiability of Continuous Gauge Functions on Banach Space

Department of Mathematics Anhui Normal University,,Wuhu 241000

Received:1991-07-12 Online:1992-12-30 Published:2025-06-25

摘要/Abstract

摘要： In this paper,some equivalent conditions for differentiability of condtinuous gauge function are given.

关键词: gauge function, subgradient, Gauteaux differentiability, Frechet differentiability

Abstract: In this paper,some equivalent conditions for differentiability of condtinuous gauge function are given.

Key words: gauge function, subgradient, Gauteaux differentiability, Frechet differentiability

南朝勋. Some Equivalent Conditions for the Differentiability of Continuous Gauge Functions on Banach Space[J]. 数学季刊, 1992, 7(4): 84-88.

Nan Chaoxun. Some Equivalent Conditions for the Differentiability of Continuous Gauge Functions on Banach Space[J]. Chinese Quarterly Journal of Mathematics, 1992, 7(4): 84-88.

Some Equivalent Conditions for the Differentiability of Continuous Gauge Functions on Banach Space

Some Equivalent Conditions for the Differentiability of Continuous Gauge Functions on Banach Space

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