学科建设
数学讲坛
发布于:2018-04-08 10:17:10   |   作者:[学院] 数学学院   |   浏览次数:3135
时间:2018年4月8日
地址:清水河主楼A1-407
主办:数学学院
承办:数学学院
范围:全校

On Some Generalized Polyhedral Convex Constructions

Nguyen Dong Yen

Institute of Mathematics, Vietnam Academy ofScience and Technology

Time: 15:00-16:00, April.8

Venue:A1-407, Main Building

 

Abstract

Generalized polyhedral convex sets, generalized polyhedral convex functions on Hausdorff locally convex topological vector spaces, and the related constructions such as normal cone, sum of sets, sum of functions, directional derivative, infimal convolution, conjugate function, subdifferential, are studied thoroughly in this paper. Among other things, we show how a generalized polyhedral convex set can be characterized via the finiteness of the number of its faces. In addition, it is proved that the infimal convolution of a generalized polyhedral convex function and a polyhedral convex function is a polyhedral convex function. The obtained results can be applied to scalar optimization problems described by generalized polyhedral convex sets and generalized polyhedral convex functions.

 

Brief Biography:

Nguyen Dong Yen教授是最优化领域的著名科学家,在最优化理论、集值变分分析,平衡问题,数值分析和科学计算等领域的研究做出了杰出的贡献。Nguyen Dong Yen教授发表高水平学术论文百余篇,出版数学教材10余本,曾担任越南数学杂志主编,现为《SIAM Journal on Optimization》、《Journal of Optimization Theory and Applications》等多个知名SCI收录期刊的编委。