Treffer: Optimality and Duality in Nondifferentiable and Multiobjective Programming under Generalized d-Invexity: Optimality and duality in nondifferentiable and multiobjective programming under generalized \(d\)-invexity

Title:
Optimality and Duality in Nondifferentiable and Multiobjective Programming under Generalized d-Invexity: Optimality and duality in nondifferentiable and multiobjective programming under generalized \(d\)-invexity
Authors:
Shouyang Wang, K. K. Lai, Shashi Kant Mishra
Source:
Journal of Global Optimization. 29:425-438
Publisher Information:
Springer Science and Business Media LLC, 2004.
Publication Year:
2004
Subject Terms:
optimality conditions, nondifferentiable problems, Nonsmooth analysis, generalized \(d\)-invexity, 0211 other engineering and technologies, duality, multiobjective optimization, 02 engineering and technology, Optimality conditions and duality in mathematical programming, Multi-objective and goal programming
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Language:
English
ISSN:
1573-2916
0925-5001
DOI:
10.1023/b:jogo.0000047912.69270.8c
Access URL:
https://link.springer.com/article/10.1023/B:JOGO.0000047912.69270.8c
https://scholarsdev.esu.cityu.edu.hk/en/publications/optimality-and-duality-in-nondifferentiable-and-multiobjective-programming-under-generalized-dinvexity(c3841fef-8cae-48da-bf8a-bd157a515de3).html
https://rd.springer.com/article/10.1023/b:jogo.0000047912.69270.8c
Rights:
Springer Nature TDM
Accession Number:
edsair.doi.dedup.....c9471819a334dccd08c69b8e5f36dce2
Database:
OpenAIRE

Weitere Informationen

In this paper, new generalized definitions for invex functions are given and called \(d\)-type-I functions. Sufficient (KKT) optimality conditions for weak Pareto optimality as well as duality results are derived to nondifferentiable multiobjective optimization problems involving the new classes of functions.