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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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 118; no. 2; pp. 339 - 352
Main Authors:	Fu, J.Y., Wang, Y.H.
Format:	Journal Article
Language:	English
Published:	New York, NY Springer 01.08.2003 Springer Nature B.V
Subjects:	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
Online Access:	Get full text
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Summary:	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.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 content type line 14 ObjectType-Article-2 ObjectType-Feature-1 content type line 23
ISSN:	0022-3239 1573-2878
DOI:	10.1023/A:1025451422581