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
[41]   Optimality criteria for nonsmooth continuous-time problems of multiobjective optimization [J].
Nobakhtian, S. ;
Pouryayevali, M. R. .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2008, 136 (01) :69-76
[42]   Optimality Criteria for Nonsmooth Continuous-Time Problems of Multiobjective Optimization [J].
S. Nobakhtian ;
M. R. Pouryayevali .
Journal of Optimization Theory and Applications, 2008, 136 :69-76
[43]   Multiobjective optimization with least constraint violation: optimality conditions and exact penalization [J].
Chen, Jiawei ;
Dai, Yu-Hong .
JOURNAL OF GLOBAL OPTIMIZATION, 2023, 87 (2-4) :807-830
[44]   Optimality conditions for approximate proper solutions in multiobjective optimization with polyhedral cones [J].
C. Gutiérrez ;
L. Huerga ;
B. Jiménez ;
V. Novo .
TOP, 2020, 28 :526-544
[45]   Optimality conditions for nonsmooth multiobjective bilevel optimization using tangential subdifferentials [J].
Jennane, Mohsine ;
Kalmoun, El Mostafa ;
El Fadil, Lhoussain .
RAIRO-OPERATIONS RESEARCH, 2021, 55 (05) :3041-3048
[46]   Optimality Conditions for Multiobjective Optimization Problem Constrained by Parameterized Variational Inequalities [J].
Li-Ping Pang ;
Fan-Yun Meng ;
Shuang Chen ;
Dan Li .
Set-Valued and Variational Analysis, 2014, 22 :285-298
[47]   Optimality conditions for approximate proper solutions in multiobjective optimization with polyhedral cones [J].
Gutierrez, C. ;
Huerga, L. ;
Jimenez, B. ;
Novo, V .
TOP, 2020, 28 (02) :526-544
[48]   A note on optimality conditions in terms of convexificators for a bilevel multiobjective optimization problem [J].
Dempe, Stephan ;
Gadhi, Nazih Abderrazzak .
OPTIMIZATION, 2025, 74 (04) :967-979
[49]   Multiobjective optimization with least constraint violation: optimality conditions and exact penalization [J].
Jiawei Chen ;
Yu-Hong Dai .
Journal of Global Optimization, 2023, 87 :807-830
[50]   Necessary and sufficient optimality conditions for fractional multi-objective problems [J].
Gadhi, N. .
OPTIMIZATION, 2008, 57 (04) :527-537
12345