Title | ||
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Lagrange Multiplier Characterizations of Solution Sets of Constrained Nonsmooth Pseudolinear Optimization Problems. |
Abstract | ||
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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. Mishra | 1 | 45 | 7.37 |
B. B. Upadhyay | 2 | 2 | 0.44 |
Le Thi Hoai An | 3 | 1038 | 80.20 |