DUALITY FOR A CLASS OF NONSMOOTH SEMI-INFINITE MULTIOBJECTIVE FRACTIONAL OPTIMIZATION PROBLEMS

被引：0

作者：

Singh, Vivek ^{[1
]}

Jayswal, Anurag ^{[2
]}

Stancu-Minasian, Ioan ^{[3
]}

Rusu-Stancu, Andreea Madalina ^{[3
]}

机构：

[1] Manipal Univ Jaipur, Jaipur, Rajasthan, India

[2] Indian Inst Technol, Indian Sch Mines, Dhanbad 826004, Bihar, India

[3] Romanian Acad, Gheorghe Mihoc Caius Iacob Inst Math Stat & Appl, 13 Septembrie St 13, Bucharest 050711, Romania

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2022年 / 84卷 / 02期

关键词：

Limiting subdifferential; generalized convex function; strongly isolated solution; positively properly efficient solution; efficient solution; semi-infinite multiobjective fractional programming; optimality conditions; OPTIMALITY CONDITIONS; PROPER EFFICIENCIES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we continue the effort of Singh et al. [ V. Singh, A. Jayswal, I. Stancu-Minasian and A.M. Rusu-Stancu, Isolated and proper efficiencies for semi-infinite multiobjective fractional problems, U.P.B. Sci. Bull., Series A, Vol. 83, Iss. 3, 2021, pp. 111-124 to discuss duality results for a nonsmooth semi-infinite multiobjective fractional optimization problem with infinite number of inequality constraints by employing some advanced tools of variational analysis and generalized differentiation. We propose a Mond-Weir dual problem and prove weak/strong duality theorems for local properly efficient solutions under generalized convexity. In order to justify the significance of obtained results we consider a numerical example.

引用

页码：61 / 68

页数：8

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