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
  • [31] LIMITS OF FLAME QUENCHING FOR SEMI-CLOSED SHELLS
    PONIZKO, AS
    ROZLOVSK.AI
    DOKLADY AKADEMII NAUK SSSR, 1972, 206 (03): : 661 - &
  • [32] ALVEOLAR GAS RELATIONSHIPS DURING USE OF SEMI-CLOSED REBREATHING ANESTHETIC SYSTEMS
    CONWAY, CM
    BRITISH JOURNAL OF ANAESTHESIA, 1976, 48 (09) : 865 - 869
  • [33] SEMI-CLOSED RECUPERATED CYCLE WITH WET COMPRESSION
    Wettstein, Hans E.
    PROCEEDINGS OF THE ASME TURBO EXPO: TURBINE TECHNICAL CONFERENCE AND EXPOSITION, 2017, VOL 3, 2017,
  • [34] ON THE BURNING OF CONDENSED SUBSTANCES IN A SEMI-CLOSED VOLUME
    LIUBCHENKO, IS
    MARCHENKO, GN
    DOKLADY AKADEMII NAUK SSSR, 1980, 253 (05): : 1157 - 1161
  • [35] Potential of AC drives with semi-closed control
    Weinger, AM
    IEEE IEMDC'03: IEEE INTERNATIONAL ELECTRIC MACHINES AND DRIVES CONFERENCE, VOLS 1-3, 2003, : 1511 - 1517
  • [36] Reducing ventilation requirements in semi-closed greenhouses increases water use efficiency
    Katsoulas, N.
    Sapounas, A.
    De Zwart, F.
    Dieleman, J. A.
    Stanghellini, C.
    AGRICULTURAL WATER MANAGEMENT, 2015, 156 : 90 - 99
  • [37] Monitoring of Climate Variables in Semi-Closed Greenhouses
    Gieling, T. H.
    Campen, J. B.
    Dieleman, J. A.
    Garcia, N.
    Janssen, H. J. J.
    Kempkes, F. L. K.
    Kromwijka, J. A. M.
    Raaphorst, M. G. M.
    INTERNATIONAL SYMPOSIUM ON HIGH TECHNOLOGY FOR GREENHOUSE SYSTEMS: GREENSYS2009, 2011, (893): : 1073 - 1080
  • [38] EXPOSED SANDY BEACHES AS SEMI-CLOSED ECOSYSTEMS
    MCLACHLAN, A
    MARINE ENVIRONMENTAL RESEARCH, 1980, 4 (01) : 59 - 63
  • [39] TYMPANOPLASTIES AFTER OPEN OR SEMI-CLOSED TECNIQUES
    BENEVANT, RG
    JOURNAL FRANCAIS D OTO-RHINO-LARYNGOLOGIE, 1979, 28 (01): : 57 - &
  • [40] POTENTIAL OF SEMI-CLOSED CYCLES FOR UAV PROPULSION
    Tacconi, Jacopo
    Visser, Wilfried
    Verstraete, Dries
    PROCEEDINGS OF THE ASME TURBO EXPO: TURBOMACHINERY TECHNICAL CONFERENCE AND EXPOSITION, 2019, VOL 1, 2019,
12345