New class of G-Wolfe-type symmetric duality model and duality relations under Gf-bonvexity over arbitrary cones

被引：0

作者：

Dubey, Ramu ^{[1
]}

Kumar, Arvind ^{[2
]}

Ali, Rifaqat ^{[3
]}

Mishra, Lakshmi Narayan ^{[4
]}

机构：

[1] JC Bose Univ Sci & Technol, YMCA, Dept Math, Faridabad, India

[2] Dyal Singh Coll, Dept Math, New Delhi, India

[3] King Khalid Univ, Coll Sci & Arts, Dept Math, Abha, Saudi Arabia

[4] Vellore Inst Technol VIT Univ, Sch Adv Sci, Dept Math, Vellore, Tamil Nadu, India

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2020年 / 2020卷 / 01期

关键词：

Second-order; Multiobjective; Efficient solution; Wolfe; G(f)-Bonvexity/G(f)-pseudobonvexity; OPTIMALITY CONDITIONS; 2ND-ORDER;

D O I：

10.1186/s13660-019-2279-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to theoretical aspects in nonlinear optimization, in particular, duality relations for some mathematical programming problems. In this paper, we introduce a new generalized class of second-order multiobjective symmetric G-Wolfe-type model over arbitrary cones and establish duality results under Gf -bonvexity/Gf -pseudobonvexity assumptions. We construct nontrivial numerical examples which are Gf -bonvex/Gf -pseudobonvex but neither.-bonvex/.-pseudobonvex nor eta-invex/eta-pseudoinvex.

引用

页数：16

共 5 条

[1] Generalized G-Wolfe type fractional symmetric duality theorems over arbitrary cones under (G, ρ, θ)-invexity assumptions
Dubeya, Ramu
Kumarb, Rajnish
Mishrac, Vishnu Narayan
Alamb, Khursheed
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 : 643 - 651
[2] New class of G-Wolfe-type symmetric duality model and duality relations under Gf\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$G_{f}$\end{document}-bonvexity over arbitrary cones
Ramu Dubey
Arvind Kumar
Rifaqat Ali
Lakshmi Narayan Mishra
Journal of Inequalities and Applications, 2020 (1)
[3] Wolfe type second-order symmetric duality in multiobjective programming over cones
Chen, Yu
Luo, Zhi-ming
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2011, 13 (07) : 1335 - 1341
[4] Generalized Second-Order G-Wolfe Type Fractional Symmetric Program and their Duality Relations under Generalized Assumptions
Kumar, Arvind
Kumar, Rajnish
Kumar, Naresh
Alam, Khursheed
Dubey, Ramu
INTERNATIONAL JOURNAL OF MATHEMATICAL ENGINEERING AND MANAGEMENT SCIENCES, 2023, 8 (01) : 142 - 162
[5] Second-order multiobjective programming problems and symmetric duality relations with Gf\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${G_{f}}$$\end{document}-bonvexity
S. K. Gupta
Ramu Dubey
Indira P. Debnath
OPSEARCH, 2017, 54 (2) : 365 - 387

← 1 →