On constraint qualifications with generalized convexity and optimality conditions

Manh Hung Nguyen and Do Van Luu ()
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Do Van Luu: Institut de Mathématiques [Hanoi] - Académie des Sciences et Techniques

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

Abstract: This paper deals with a multiobjective programming problem involving both equality constraints in infinite dimensional spaces. It is shown that some constraint qualifications together with a condition of interior points are sufficient conditions for the invexity of constraint maps with respect to the same scale map. Under a new constraint qualification which involves an invexity condition and a generalized Slater condition a Kuhn-Tucker necessary condition is established.

Keywords: Invexity; scale; constraint qualification; nearly S-convelike mapping (search for similar items in EconPapers)
Date: 2006-03
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00113148
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Published in 2006

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Related works:
Working Paper: On constraint qualifications with generalized convexity and optimality conditions (2006)
Working Paper: On constraint qualifications with generalized convexity and optimality conditions (2006)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:cesptp:halshs-00113148

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