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.
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页码：61 / 68
页数：8
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