First and Second Order Optimality Conditions using Approximations for Fractional Multiobjective Bilevel Problems under Fractional Constraints

被引：0
|
作者：
Lahoussine, Lafhim [1 ]
机构：
[1] Sidi Mohammed Ben Abdelah Univ, Fac Sci Dhar Mehrez, Dept Math, LASMA Lab, Fes, Morocco
来源：
IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS | 2024年 / 19卷 / 01期
关键词：
Fractional Bilevel programming; Optimal value function; Second; order approximation; Optimality conditions; Multiobjective optimization; VECTOR OPTIMIZATION; PROGRAMMING PROBLEM; 1ST-ORDER;
D O I：
10.61186/ijmsi.19.1.211
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, first and second order optimality conditions using the concept of approximations are developed for an optimistic fractional multiobjective bilevel problem with non-convex lower level problem. Our idea is based on using the properties of approximations in nonsmooth analysis and a separation theorem in convex analysis. All over the article, the data is assumed to be continuous but not necessarily Lipschitz.
引用
收藏
页码：211 / 232
页数：22
相关论文
共 50 条
  • [31] Optimality conditions for fractional variational problems with Caputo-Fabrizio fractional derivatives
    Jianke Zhang
    Xiaojue Ma
    Lifeng Li
    Advances in Difference Equations, 2017
  • [32] Optimality conditions for fractional variational problems with Caputo-Fabrizio fractional derivatives
    Zhang, Jianke
    Ma, Xiaojue
    Li, Lifeng
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [33] Second-order conditions for nonsmooth multiobjective optimization problems with inclusion constraints
    Ahmed Taa
    Journal of Global Optimization, 2011, 50 : 271 - 291
  • [34] OPTIMALITY CONDITIONS AND DUALITY IN MULTIOBJECTIVE GENERALIZED FRACTIONAL PROGRAMMING WITH GENERALIZED CONVEXITY
    Gao, Ying
    Rong, Weidong
    PACIFIC JOURNAL OF OPTIMIZATION, 2009, 5 (03): : 403 - 413
  • [35] Optimality conditions for pessimistic bilevel problems using convexificator
    Dempe, S.
    Gadhi, N.
    Lafhim, L.
    POSITIVITY, 2020, 24 (05) : 1399 - 1417
  • [36] Optimality conditions for pessimistic bilevel problems using convexificator
    S. Dempe
    N. Gadhi
    L. Lafhim
    Positivity, 2020, 24 : 1399 - 1417
  • [37] First-Order Optimality Conditions for Lipschitz Optimization Problems with Vanishing Constraints
    Hadis Mokhtavayi
    Aghileh Heydari
    Nader Kanzi
    Iranian Journal of Science and Technology, Transactions A: Science, 2020, 44 : 1853 - 1861
  • [38] First-Order Optimality Conditions for Lipschitz Optimization Problems with Vanishing Constraints
    Mokhtavayi, Hadis
    Heydari, Aghileh
    Kanzi, Nader
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2020, 44 (06): : 1853 - 1861
  • [39] 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
  • [40] First- and second-order optimality conditions of nonsmooth sparsity multiobjective optimization via variational analysis
    Chen, Jiawei
    Su, Huasheng
    Ou, Xiaoqing
    Lv, Yibing
    JOURNAL OF GLOBAL OPTIMIZATION, 2024, 89 (02) : 303 - 325
12345