Arcwise Connected Cone-Convex Functions and Mathematical Programming

The concept of arcwise connected cone-convex functions in topological vector spaces is introduced. Optimality conditions and duality theorems for a vector-valued nonlinear programming problem involving arcwise connected cone-convex functions are discussed.

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Vydané v:Journal of optimization theory and applications Ročník 118; číslo 2; s. 339 - 352
Hlavní autori: Fu, J.Y., Wang, Y.H.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York, NY Springer 01.08.2003
Springer Nature B.V
Predmet:
Applied sciences
Calculus of variations and optimal control
Convex analysis
Exact sciences and technology
Mathematical analysis
Mathematical programming
Mathematics
Operational research and scientific management
Operational research. Management science
Optimization
Sciences and techniques of general use
optimality conditions
Arcwise connected cone-convex functions
vector-valued Lagrangian
saddle points
ISSN:0022-3239, 1573-2878
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Shrnutí:The concept of arcwise connected cone-convex functions in topological vector spaces is introduced. Optimality conditions and duality theorems for a vector-valued nonlinear programming problem involving arcwise connected cone-convex functions are discussed.
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ISSN:0022-3239
1573-2878
DOI:10.1023/A:1025451422581