Smulyan Lemma and Differentiability of the Support Function  

作　　者：Ildar Sadeqi Sima Hassankhali 

机构地区：[1]Department of Mathematics, Sahand University of Technology

出　　处：《Analysis in Theory and Applications》2018年第4期348-357,共10页分析理论与应用（英文刊）

摘　　要：The purpose of this paper is to verify the Smulyan lemma for the support function, and also the Gateaux differentiability of the support function is studied on its domain. Moreover, we provide a characterization of Frechet differentiability of the support function on the extremal points.The purpose of this paper is to verify the Smulyan lemma for the support function, and also the Gateaux differentiability of the support function is studied on its domain. Moreover, we provide a characterization of Frechet differentiability of the support function on the extremal points.

关 键 词：Frechet and Gateaux differentiability support function strict convexity Smulyan lemma 

分 类 号：O1[理学—数学]