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.
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页码：547 / 564
页数：18
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