Duality Without a Constraint Qualification for Minimax Fractional Programming

H. C. Lai, J. C. Liu and K. Tanaka
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H. C. Lai: I-Shou University
J. C. Liu: National Overseas Chinese Student University
K. Tanaka: Niigata University

Journal of Optimization Theory and Applications, 1999, vol. 101, issue 1, No 6, 109-125

Abstract: Abstract Using a parametric approach, we establish the necessary and sufficient conditions for generalized fractional programming without the need of a constraint qualification. Subsequently, these optimality criteria are utilized as a basis for constructing a parametric dual model and two other parameter-free dual models. Several duality theorems are established.

Keywords: Generalized fractional programming; cone of directions; duality (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (4)

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DOI: 10.1023/A:1021771011210

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