On the use of semi-closed sets and functions in convex analysis

被引:0
|
作者
Zalinescu, Constantin [1 ,2 ]
机构
[1] Univ Alexandru Ioan Cuza, Fac Math, Iasi, Romania
[2] Acad Romana, Octav Mayer Inst Math, Iasi, Romania
来源
OPEN MATHEMATICS | 2015年 / 13卷 / 01期
关键词
Semi-closed convex set; Semi-closed convex function; Semi-closure; Semi-interior; Subdifferential; Duality;
D O I
10.1515/math-2015-0001
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The main aim of this short note is to show that the subdifferentiability and duality results established by Laghdir (2005), Laghdir and Benabbou (2007), and Alimohammady et al. (2011), stated in Frechet spaces, are consequences of the corresponding known results using Moreau-Rockafellar type conditions.
引用
收藏
页码:1 / 5
页数:5
相关论文
共 50 条
  • [41] Tomato yield prediction in a semi-closed greenhouse
    Salazar, R.
    Lopez, I.
    Rojano, A.
    Schmidt, U.
    Dannehl, D.
    XXIX INTERNATIONAL HORTICULTURAL CONGRESS ON HORTICULTURE: SUSTAINING LIVES, LIVELIHOODS AND LANDSCAPES (IHC2014): INTERNATIONAL SYMPOSIUM ON INNOVATION AND NEW TECHNOLOGIES IN PROTECTED CROPPING, 2015, 1107 : 263 - 269
  • [42] Semi-closed femoropopliteal thromboendarterectomy: a prospective study
    Heider, P
    Hofmann, M
    Maurer, PC
    von Sommoggy, S
    EUROPEAN JOURNAL OF VASCULAR AND ENDOVASCULAR SURGERY, 1999, 18 (01) : 43 - 47
  • [43] A Maximization Algorithm of Pseudo-convex Quadratic Functions on Closed Convex Sets in Euclidean Spaces
    Jabri, Youssef
    Jaddar, A. Bdessamad
    Taj, Mourad
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
  • [44] On closed sets with convex projections
    Barov, S
    Cobb, J
    Dijkstra, JJ
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2002, 65 : 154 - 166
  • [45] On convergence of closed convex sets
    Lohne, Andreas
    Zalinescu, Constantin
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 319 (02) : 617 - 634
  • [46] Closed and convex fuzzy sets
    Syau, YR
    FUZZY SETS AND SYSTEMS, 2000, 110 (02) : 287 - 291
  • [47] THE SEMI-CLOSED RECUPERATED CYCLE WITH INTERCOOLED COMPRESSORS
    Wettstein, Hans E.
    PROCEEDINGS OF THE ASME TURBO EXPO: TURBINE TECHNICAL CONFERENCE AND EXPOSITION, 2014, VOL 3A, 2014,
  • [48] Duality for Closed Convex Functions and Evenly Convex Functions
    M. Volle
    J. E. Martínez-Legaz
    J. Vicente-Pérez
    Journal of Optimization Theory and Applications, 2015, 167 : 985 - 997
  • [49] Duality for Closed Convex Functions and Evenly Convex Functions
    Volle, M.
    Martinez-Legaz, J. E.
    Vicente-Perez, J.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2015, 167 (03) : 985 - 997
  • [50] Analysis of heave motions of a truss spar platform with semi-closed moon pool
    Liu, Liqin
    Incecik, Atilla
    Zhang, Yongheng
    Tang, Yougang
    OCEAN ENGINEERING, 2014, 92 : 162 - 174