Optimality Conditions and Duality for a Class of Generalized Convex Interval-Valued Optimization Problems

被引：19

作者：

Guo, Yating ^{[1
]}

Ye, Guoju ^{[1
]}

Liu, Wei ^{[1
]}

Zhao, Dafang ^{[2
]}

Treanta, Savin ^{[3
]}

机构：

[1] Hohai Univ, Coll Sci, Nanjing 210098, Peoples R China

[2] Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Hubei, Peoples R China

[3] Univ Politehn Bucuresti, Dept Appl Math, Bucharest 060042, Romania

来源：

MATHEMATICS | 2021年 / 9卷 / 22期

基金：

湖北省教育厅重点项目;

关键词：

gH-symmetrically derivative; optimality conditions; wolfe duality; symmetric pseudo-convexity; symmetric quasi-convexity; LINEAR-PROGRAMMING PROBLEMS; OBJECTIVE FUNCTION; COEFFICIENTS;

D O I：

10.3390/math9222979

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to derive optimality conditions and duality theorems for interval-valued optimization problems based on gH-symmetrically derivative. Further, the concepts of symmetric pseudo-convexity and symmetric quasi-convexity for interval-valued functions are proposed to extend above optimization conditions. Examples are also presented to illustrate corresponding results.

引用

页数：14

共 50 条

[41] WEIGHTING METHOD FOR CONVEX VECTOR INTERVAL-VALUED OPTIMIZATION PROBLEMS
Antczak, Tadeusz
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2022, 84 (02): : 155 - 162
[42] Optimality Conditions for Interval-Valued Optimization Problems on Riemannian Manifolds Under a Total Order Relation
Bhat, Hilal Ahmad
Iqbal, Akhlad
Aftab, Mahwash
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2025, 205 (01)
[43] Second-Order Optimality Conditions for Interval-Valued Optimization Problem
Rastogi, Sachin
Iqbal, Akhlad
ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, 2024,
[44] ON OPTIMAL CONTROL PROBLEMS WITH GENERALIZED INVARIANT CONVEX INTERVAL-VALUED FUNCTIONALS
Treantae, Savin
Ciontescu, Marilena
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2024, 20 (11) : 3317 - 3336
[45] Optimality conditions for interval-valued univex programming
Li, Lifeng
Zhang, Jianke
Zhou, Chang
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
[46] Optimality conditions for interval-valued univex programming
Lifeng Li
Jianke Zhang
Chang Zhou
Journal of Inequalities and Applications, 2019
[47] Optimality conditions and duality for arcwise connected interval optimization problems
Wang H.
Zhang R.
OPSEARCH, 2015, 52 (4) : 870 - 883
[48] ON ε-OPTIMALITY CONDITIONS FOR CONVEX SET-VALUED OPTIMIZATION PROBLEMS
Lee, Gue Myung
Le Anh Tuan
TAIWANESE JOURNAL OF MATHEMATICS, 2009, 13 (6A): : 1787 - 1810
[49] Optimality conditions of type KKT for optimization problem with interval-valued objective function via generalized derivative
Y. Chalco-Cano
W. A. Lodwick
A. Rufian-Lizana
Fuzzy Optimization and Decision Making, 2013, 12 : 305 - 322
[50] Optimality conditions of type KKT for optimization problem with interval-valued objective function via generalized derivative
Chalco-Cano, Y.
Lodwick, W. A.
Rufian-Lizana, A.
FUZZY OPTIMIZATION AND DECISION MAKING, 2013, 12 (03) : 305 - 322

← 1 2 3 4 5 →