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Characterizations of generalized convexities via generalized directional derivatives

 

作者: Pham Huu Sach,   Jean-Paul Penot,  

 

期刊: Numerical Functional Analysis and Optimization  （Taylor Available online 1998）
卷期: Volume 19, issue 5-6  

页码: 615-634

 

ISSN:0163-0563

 

年代: 1998

 

DOI:10.1080/01630569808816849

 

出版商: Marcel Dekker, Inc.

 

关键词: convexity;derivatives;generalized convexity;generalizedderivatives;invexity;monotone mapping;pseudo-convexity;quasiconvexity,;quasimonotone operator;26B25;26B25;90C26

 

数据来源: Taylor

 

摘要:

The paper gives characterizations of convexity, quasiconvexity, invexity and pseudoconvexity for a (radially) upper-semicontinuous function f in a topological vector space via appropriate properties of a bifunction which is majorized by the upper radial derivative of f and which stands for a generalized derivative of some sort.

 

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