Convexity of a function and of a set are generalized. The new class being introduced, include many well known classes as its subclasses. The defining functions involved are required to satisfy certain regularity conditions. Some properties are studied with or without differentiability; in the differentiable case, first and second order conditions are stated.

Pini, R., Singh, C. (1997). (F1-F2)-convexity. OPTIMIZATION, 40(2), 103-120 [10.1080/02331939708844303].

(F1-F2)-convexity

PINI, RITA;
1997

Abstract

Convexity of a function and of a set are generalized. The new class being introduced, include many well known classes as its subclasses. The defining functions involved are required to satisfy certain regularity conditions. Some properties are studied with or without differentiability; in the differentiable case, first and second order conditions are stated.
Articolo in rivista - Articolo scientifico
First order conditions; Generalized convexity; Nonlinear programming; Second order conditions;
English
1997
40
2
103
120
none
Pini, R., Singh, C. (1997). (F1-F2)-convexity. OPTIMIZATION, 40(2), 103-120 [10.1080/02331939708844303].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/8097
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