Φ-Conjugation and noneonvex optimization. a survey (part III)

Φ-Conjugation and noneonvex optimization. a survey (part III)

In the present paper, which is part III of our review concerning the theory of Φ-conjugate functions, we consider Lagrangians, duality theorems are proved and the connection to saddle point theorems is shown. By a fundamental inequality, duality theorems are proved and the connection to saddle point...

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Veröffentlicht in:Optimization 1985-01, Vol.16 (6), p.789-803
Hauptverfasser: Deumlich, R, Elster, K.H
Format: Artikel
Sprache:eng
Schlagworte:
fractional programming
Lagrange duality
Nonconvex programming
Primary: 49 A 55
secondary: 90 C 32
Φ-conjugate functions
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Zusammenfassung:In the present paper, which is part III of our review concerning the theory of Φ-conjugate functions, we consider Lagrangians, duality theorems are proved and the connection to saddle point theorems is shown. By a fundamental inequality, duality theorems are proved and the connection to saddle point theorems is shown. By a fundamental inequality, duality theorems can be obtained, where results are modified given in part I and part II of our paper.
ISSN:0233-1934
1029-4945
DOI:10.1080/02331938508843077