Non-differentiable minimax fractional programming with higher-order type I functions

被引：1

作者：

Muhiuddin, G. ^{[1
]}

Ahmad, I. ^{[2
]}

Al-roqi, Abdullah M. ^{[3
]}

机构：

[1] Univ Tabuk, Dept Math, Tabuk 71491, Saudi Arabia

[2] King Fahad Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

2ND-ORDER DUALITY; OPTIMALITY CONDITIONS; SUFFICIENT CONDITIONS;

D O I：

10.1186/1029-242X-2013-484

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we are concerned with a class of non-differentiable minimax fractional programming problems and their higher-order dual model. Weak, strong and converse duality theorems are discussed involving generalized higher-order type I functions. The presented results extend some previously known results on non-differentiable minimax fractional programming.

引用

页数：11

共 50 条

[41] On Correctness of Automatic Differentiation for Non-Differentiable Functions
Lee, Wonyeol
Yu, Hangyeol
Rival, Xavier
Yang, Hongseok
ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 33, NEURIPS 2020, 2020, 33
[42] Second order symmetric duality in non-differentiable multiobjective programming with F-convexity
Yang, XM
Yang, XQ
Teo, KL
Hou, SH
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2005, 164 (02) : 406 - 416
[43] Non-differentiable second order symmetric duality in mathematical programming with F-convexity
Yang, XM
Yang, XQ
Teo, KL
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2003, 144 (03) : 554 - 559
[44] Higher-Order Wolfe Type Symmetric Fractional Programming Problem Under Generalized Assumptions
Kumar, Rajnish
Alam, Khursheed
Dubey, Ramu
INTERNATIONAL JOURNAL OF MATHEMATICAL ENGINEERING AND MANAGEMENT SCIENCES, 2022, 7 (06) : 938 - 948
[45] NON-DIFFERENTIABLE SECOND-ORDER SYMMETRIC MULTIOBJECTIVEFRACTIONAL VARIATIONAL PROGRAMMING WITH CONES CONSTRAINTS
Kumar, Ramesh
Mishra, Vishnu Narayan
Dubey, Ramu
RAIRO-OPERATIONS RESEARCH, 2024, 58 (05) : 4553 - 4574
[46] Generalizations of Higher-Order Duality for Multiple Objective Nonlinear Programming under the Generalizations of Type-I Functions
Kassem, Mohamed Abd El-Hady
Alshanbari, Huda M.
MATHEMATICS, 2023, 11 (04)
[47] Higher-order duality for a class of nondifferentiable multiobjective programming problems involving generalized type I and related functions
Mishra, S. K.
Wang, Shouyang
Lai, Kin Keung
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2011, 24 (05) : 883 - 891
[48] WOLFE DUALITY FOR MULTIOBJECTIVE PROGRAMMING PROBLEMS INVOLVING HIGHER-ORDER (φ, ρ)-V- TYPE I INVEX FUNCTIONS
Rusu-Stancu, Andreea Madalina
Stancu-Minasian, I. M.
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2020, 82 (04): : 49 - 56
[49] A Non-differentiable Programming Problem under Strong Pseudoinvexity
A. Kumar
S. Ghosh
OPSEARCH, 2003, 40 (4) : 299 - 304
[50] Higher-order duality for a class of nondifferentiable multiobjective programming problems involving generalized type I and related functions
S. K. Mishra
Shouyang Wang
Kin Keung Lai
Journal of Systems Science and Complexity, 2011, 24 : 883 - 891

← 1 2 3 4 5 →