Sufficient conditions of optimality for multiobjective optimization problems with gamma-paraconvex data

被引：0
|
作者：
Amahroq, T
Taa, A
机构：
来源：
STUDIA MATHEMATICA | 1997年 / 124卷 / 03期
关键词：
contingent derivative; gamma-paraconvex multifunction; optimality conditions; B-tangentially compact; compactly gamma-paraconvex multifunction; pareto minimal point;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study multiobjective optimization problems with gamma-paraconvex multifunction data. Sufficient optimality conditions for unconstrained and constrained problems are given in terms of contingent derivatives.
引用
收藏
页码：239 / 247
页数：9
相关论文
共 50 条
  • [1] On sufficient optimality conditions for multiobjective control problems
    de Oliveira, Valeriano Antunes
    Silva, Geraldo Nunes
    JOURNAL OF GLOBAL OPTIMIZATION, 2016, 64 (04) : 721 - 744
  • [2] On sufficient optimality conditions for multiobjective control problems
    Valeriano Antunes de Oliveira
    Geraldo Nunes Silva
    Journal of Global Optimization, 2016, 64 : 721 - 744
  • [3] Necessary and sufficient second order optimality conditions for multiobjective problems with C1 data
    Santos, L. B.
    Osuna-Gomez, R.
    Hernandez-Jimenez, B.
    Rojas-Medar, M. A.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 85 : 192 - 203
  • [4] On optimality conditions for multiobjective optimization problems in topological vector space
    Fulga, Cristinca
    Preda, Vasile
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) : 123 - 131
  • [5] Second order optimality conditions for nonsmooth multiobjective optimization problems
    Crespi, GP
    La Torre, D
    Rocca, M
    GENERALIZED CONVEXITY, GENERALIZED MONOTONICITY AND APPLICATIONS, 2005, 77 : 213 - 228
  • [6] Necessary Optimality Conditions and a New Approach to Multiobjective Bilevel Optimization Problems
    N. Gadhi
    S. Dempe
    Journal of Optimization Theory and Applications, 2012, 155 : 100 - 114
  • [7] Optimality conditions for robust nonsmooth multiobjective optimization problems in Asplund spaces
    Saadati, Maryam
    Oveisiha, Morteza
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2022, 28 (04) : 579 - 601
  • [8] Necessary Optimality Conditions and a New Approach to Multiobjective Bilevel Optimization Problems
    Gadhi, N.
    Dempe, S.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2012, 155 (01) : 100 - 114
  • [9] Necessary and sufficient optimality conditions for set-valued optimization problems
    Benkenza, Najia
    Gadhi, Nazih
    Lafhim, Lahoussine
    GEORGIAN MATHEMATICAL JOURNAL, 2011, 18 (01) : 53 - 66
  • [10] OPTIMALITY CONDITIONS FOR BILEVEL OPTIMIZATION PROBLEM WITH BOTH LEVELS PROBLEMS BEING MULTIOBJECTIVE
    Li, Gaoxi
    Wan, Zhongping
    Zhao, Xiaoke
    PACIFIC JOURNAL OF OPTIMIZATION, 2017, 13 (03): : 421 - 441
12345