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Zbl 0762.90064
Weir, T.
Programming with semilocally convex functions. (English)
[J] J. Math. Anal. Appl. 168, No.1, 1-12 (1992). ISSN 0022-247X

Summary: A theorem of the alternatives is derived for semilocally convex functions defined on locally starshaped sets. This result is applied to constrained minimization problems to obtain optimality conditions and duality theorems.
MSC 2000:
*90C26 Nonconvex programming

Keywords: theorem of the alternatives; semilocally convex functions; locally starshaped sets; optimality conditions; duality

Cited in: Zbl 1170.26004 Zbl 0904.90132 Zbl 0864.90111 Zbl 0813.90088

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