Title
Lagrange Multiplier Characterizations of Solution Sets of Constrained Nonsmooth Pseudolinear Optimization Problems.
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.
Year
DOI
Venue
2014
10.1007/s10957-013-0313-9
J. Optimization Theory and Applications
Keywords
Field
DocType
Pseudolinear functions, Pseudolinear programs, Locally Lipschitz functions, Solution sets, Efficient solutions, Properly efficient solutions
Minimization problem,Mathematical optimization,Lagrange multiplier,Mathematical analysis,Convex set,Minification,Lipschitz continuity,Solution set,Linear inequality,Optimization problem,Mathematics
Journal
Volume
Issue
ISSN
160
3
1573-2878
Citations 
PageRank 
References 
2
0.44
6
Authors
3
Name
Order
Citations
PageRank
S. K. Mishra1457.37
B. B. Upadhyay220.44
Le Thi Hoai An3103880.20