Lagrange Multiplier Characterizations of Solution Sets of Constrained Nonsmooth Pseudolinear Optimization Problems

S. K. Mishra (), B. B. Upadhyay and Le Thi Hoai An
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S. K. Mishra: Banaras Hindu University
B. B. Upadhyay: Banaras Hindu University
Le Thi Hoai An: University Paul Verlaine of Metz

Journal of Optimization Theory and Applications, 2014, vol. 160, issue 3, No 4, 763-777

Abstract: Abstract This paper deals with the minimization of a class of nonsmooth pseudolinear functions over a closed and convex set subject to linear inequality constraints. We establish several Lagrange multiplier characterizations of the solution set of the minimization problem by using the properties of locally Lipschitz pseudolinear functions. We also consider a constrained nonsmooth vector pseudolinear optimization problem and derive certain conditions, under which an efficient solution becomes a properly efficient solution. The results presented in this paper are more general than those existing in the literature.

Keywords: Pseudolinear functions; Pseudolinear programs; Locally Lipschitz functions; Solution sets; Efficient solutions; Properly efficient solutions (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-013-0313-9

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