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

Abstract

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.

Keywords:

• Nonconvex programming
• fractional programming
• Lagrange duality
• Φ-conjugate functions

AMS 1980 Subject Classification:

• Primary: 49 A 55
• secondary: 90 C 32
• secondary: 90 C 32