Efficient and weak efficient points in vector optimization with generalized cone convexity

被引：13
|
作者：
Adán, M [1 ]
Novo, V
机构：
[1] UCLM, Dept Math Appl, Ciudad Real, Spain
[2] Univ Nacl Educ Distancia, Dept Math Appl, Madrid, Spain
来源：
APPLIED MATHEMATICS LETTERS | 2003年 / 16卷 / 02期
关键词：
vector optimization; efficiency; generalized cone-convexity; subconvexity;
D O I：
10.1016/S0893-9659(03)80035-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present necessary and sufficient conditions of efficiency and weak efficiency under generalized cone-convexity and cone-sub convexity. The results are stated in partially ordered real linear spaces from a separation theorem between convex cones which need not be solid. (C) 2003 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：221 / 225
页数：5
相关论文
共 50 条
  • [1] AN EVALUATION OF EFFICIENT POINTS FOR VECTOR OPTIMIZATION
    Nuriya, Tetsuya
    Kuroiwa, Daishi
    TAIWANESE JOURNAL OF MATHEMATICS, 2008, 12 (08): : 2063 - 2082
  • [2] Generalized nonsmooth cone convexity in terms of convexifactors in vector optimization
    Suneja S.K.
    Kohli B.
    OPSEARCH, 2013, 50 (1) : 89 - 105
  • [3] Existence of Efficient Points in Vector Optimization and Generalized Bishop–Phelps Theorem
    K.F. Ng
    X.Y. Zheng
    Journal of Optimization Theory and Applications, 2002, 115 : 29 - 47
  • [4] Existence of efficient points in vector optimization and generalized Bishop-Phelps theorem
    Ng, KF
    Zheng, XY
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2002, 115 (01) : 29 - 47
  • [5] Characterizations of efficient and weakly efficient points in nonconvex vector optimization
    Zhao, Ke Quan
    Yang, Xin Min
    JOURNAL OF GLOBAL OPTIMIZATION, 2015, 61 (03) : 575 - 590
  • [6] Characterizations of efficient and weakly efficient points in nonconvex vector optimization
    Ke Quan Zhao
    Xin Min Yang
    Journal of Global Optimization, 2015, 61 : 575 - 590
  • [7] Approximation of Weak Efficient Solutions in Vector Optimization
    Huerga, Lidia
    Gutierrez, Cesar
    Jimenez, Bienvenido
    Novo, Vicente
    MODELLING, COMPUTATION AND OPTIMIZATION IN INFORMATION SYSTEMS AND MANAGEMENT SCIENCES - MCO 2015, PT 1, 2015, 359 : 481 - 489
  • [8] Convexifactors, generalized convexity and vector optimization
    Dutta, J
    Chandra, S
    OPTIMIZATION, 2004, 53 (01) : 77 - 94
  • [9] Cone convexity of measured set vector functions and vector optimization
    Kouada, I
    RAIRO-RECHERCHE OPERATIONNELLE-OPERATIONS RESEARCH, 1997, 31 (03): : 211 - 230
  • [10] GENERALIZED PROXIMAL METHOD FOR EFFICIENT SOLUTIONS IN VECTOR OPTIMIZATION
    Chuong, T. D.
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2011, 32 (08) : 843 - 857
12345