Approximately convex functions and approximately monotonic operators

被引：27
|
作者：
Van Ngai, Huynh
Penot, Jean-Paul
机构：
[1] Pedagog Univ Quynhon, Dept Math, Qui Nhon, Vietnam
[2] Lab Math Appl, CNRS UMR 5142, Fac Sci, F-64000 Pau, France
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 66卷 / 03期
关键词：
approximate convexity; approximate monotonicity; paraconvexity; semiconvexity; subdifferential;
D O I：
10.1016/j.na.2005.11.045
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present characterizations of some generalized convexity properties of functions with the help of a general subdifferential. We stress the case of lower semicontinuous functions. We also study the important case of marginal functions and we provide representation results. (c) 2006 Published by Elsevier Ltd.
引用
收藏
页码：547 / 564
页数：18
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