On duality for mathematical programs with vanishing constraints

S. K. Mishra, Vinay Singh and Vivek Laha ()
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S. K. Mishra: Banaras Hindu University
Vinay Singh: National Institute of Technology
Vivek Laha: Banaras Hindu University

Annals of Operations Research, 2016, vol. 243, issue 1, No 16, 249-272

Abstract: Abstract In this paper, we formulate and study Wolfe and Mond–Weir type dual models for a difficult class of optimization problems known as the mathematical programs with vanishing constraints. We establish the weak, strong, converse, restricted converse and strict converse duality results under the assumptions of convexity and strict convexity between the primal mathematical program with vanishing constraints and the corresponding Wolfe type dual. We also derive the weak, strong, converse, restricted converse and strict converse duality results between the primal mathematical program with vanishing constraints and the corresponding Mond–Weir type dual under the assumptions of pseudoconvex, strict pseudoconvex and quasiconvex functions.

Keywords: Wolfe dual; Mond–Weir dual; Duality results; Mathematical programs with vanishing constraints; Generalized convexity (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (13)

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DOI: 10.1007/s10479-015-1814-8

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