Optimality and duality for E-minimax fractional programming: application to multiobjective optimization

被引：3

作者：

Pokharna, Nisha ^{[1
]}

Tripathi, Indira P. ^{[1
]}

机构：

[1] SVNIT, Dept Math & Humanities, Surat 395007, Gujarat, India

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2023年 / 69卷 / 03期

关键词：

E-minimax fractional problem; Strong E-invexity; Optimality; Duality; SETS;

D O I：

10.1007/s12190-023-01838-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the notion of strong invexity with respect to the E-operator. We discuss the necessary and sufficient conditions for the considered E-minimax fractional programming problem. Wolfe dual has been presented for the considered problem, and weak, strong, and strict converse duality theorems have been proved. Also, an application of the results derived is discussed in the context of a E-multiobjective fractional programming problem. At suitable places, nontrivial examples have been formulated with appropriate justification.

引用

页码：2361 / 2388

页数：28

共 50 条

[21] Optimality and duality theorems for non smooth multiobjective fractional programs
Suneja, SK
Lalitha, CS
Khurana, S
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1999, 30 (03) : 243 - 257
[22] Optimality and duality in multiobjective fractional programming involving ρ-semilocally type I-preinvex and related functions
Niculescu, Cristian
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 335 (01) : 7 - 19
[23] Optimality Conditions and Duality for Nondifferentiable Multiobjective Fractional Programming Problems with (C,α,ρ,d)-convexity
X. J. Long
Journal of Optimization Theory and Applications, 2011, 148 : 197 - 208
[24] Optimality Conditions and Duality for Nondifferentiable Multiobjective Fractional Programming Problems with (C, α, ρ, d)-convexity
Long, X. J.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 148 (01) : 197 - 208
[25] Optimality conditions for nondifferentiable minimax fractional programming with complex variables
Lai, Hang-Chin
Huang, Tone-Yau
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 359 (01) : 229 - 239
[26] On duality theorems for a nondifferentiable minimax fractional programming
Lai, HC
Lee, JC
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 146 (01) : 115 - 126
[27] THE OPTIMALITY CONDITION AND DUALITY OF MULTIOBJECTIVE POSYNOMIAL GEOMETRIC PROGRAMMING
Hu Yuda
Xu Ping(Dept. of Applied Mathematics)
Journal of Shanghai Jiaotong University, 1996, (02) : 1 - 5
[28] OPTIMALITY AND DUALITY IN MULTIOBJECTIVE PROGRAMMING INVOLVING SUPPORT FUNCTIONS
Gupta, Rekha
Srivastava, Manjari
RAIRO-OPERATIONS RESEARCH, 2017, 51 (02) : 433 - 446
[29] Optimality and Duality Theorems in Nonsmooth Multiobjective Optimization
Bae, Kwan Deok
Kim, Do Sang
FIXED POINT THEORY AND APPLICATIONS, 2011, : 1 - 11
[30] Optimality and duality for nonsmooth multiobjective optimization problems
Kwan Deok Bae
Do Sang Kim
Journal of Inequalities and Applications, 2013

← 1 2 3 4 5 →