(∧, C)-contingent derivatives of set-valued maps

被引：19
|
作者：
Rodriguez-Marin, Luis [1 ]
Sama, Miguel [1 ]
机构：
[1] Univ Nacl Educ Distancia, ETSI Ind, Dept Matemat Aplicada, E-28040 Madrid, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 335卷 / 02期
关键词：
ordered space; derivatives of set-valued maps; optimality conditions;
D O I：
10.1016/j.jmaa.2007.01.105
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper a new notion of differentiability of set-valued maps is introduced. Based on ordered spaces techniques, (Lambda, C)-lower and (Lambda, C)-upper contingent derivatives are defined. Conditions for (Lambda, C)differentiability are given. Furthermore we show that these concepts are suitable for the formulation of optimality conditions for set-valued optimization problems with set-optimization criteria. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：974 / 989
页数：16
相关论文
共 50 条
  • [31] On various entropies of set-valued maps
    Wang, Xinsheng
    Zhang, Yu
    Zhu, Yujun
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 524 (02)
  • [32] Strongly convex set-valued maps
    Leiva, Hugo
    Merentes, Nelson
    Nikodem, Kazimierz
    Luis Sanchez, Jose
    JOURNAL OF GLOBAL OPTIMIZATION, 2013, 57 (03) : 695 - 705
  • [33] Derivatives of Set-Valued Maps and Gap Functions for Vector Equilibrium Problems
    Hadi Mirzaee
    Majid Soleimani-damaneh
    Set-Valued and Variational Analysis, 2014, 22 : 673 - 689
  • [34] On existence of equilibria of set-valued maps
    Gabor, G
    Quincampoix, M
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2003, 6B (02): : 309 - 321
  • [35] A SURJECTIVITY THEOREM FOR SET-VALUED MAPS
    SACH, PH
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1986, 5C (01): : 411 - 436
  • [36] A Note on Quasiconvex Set-Valued Maps
    C. S. Lalitha
    Sonia Davar
    OPSEARCH, 2003, 40 (1) : 52 - 61
  • [37] Random Lifting of Set-Valued Maps
    Capuani, Rossana
    Marigonda, Antonio
    Mogentale, Marta
    LARGE-SCALE SCIENTIFIC COMPUTING (LSSC 2021), 2022, 13127 : 297 - 305
  • [38] Derivatives of Set-Valued Maps and Gap Functions for Vector Equilibrium Problems
    Mirzaee, Hadi
    Soleimani-damaneh, Majid
    SET-VALUED AND VARIATIONAL ANALYSIS, 2014, 22 (04) : 673 - 689
  • [39] On cone convexity of set-valued maps
    Kuroiwa, D
    Tanaka, T
    Truong, XDH
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (03) : 1487 - 1496
  • [40] Invariant measures of set-valued maps
    Artstein, Z
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 252 (02) : 696 - 709
12345