Optimality and duality for nonsmooth multiobjective optimization problems with generalized V -r-invexity

DOI10.1515/jaa.2010.004zbMath1276.90063OpenAlexW1992441520MaRDI QIDQ2865554

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Publication date: 2 December 2013

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa.2010.004

zbMATH Keywords

nonsmooth optimizationconstrained optimizationdualityoptimalitylocally Lipschitz functions\(V-r\)-type I functions

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46)

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On nonsmooth V-invexity and vector variational-like inequalities in terms of the Michel-Penot subdifferentials

Cites Work

• On sufficiency of the Kuhn-Tucker conditions
• Some extensions of nonconvex economic modeling: invexity, quasimax, and new stability conditions
• Nonsmooth invexity
• Necessary and sufficient conditions in constrained optimization
• Generalized (p, r)-Invexity in Mathematical Programming
• Optimality and Duality for Invex Nonsmooth Multiobjective programming problems