A duality approach to minimax results for quasi-saddle functions in finite dimensions

We show how saddle point theorems for a quasiconvex-quasiconcave function can be derived from duality theory. A symmetric duality framework that provides the machinery for deriving saddle point theorems is presented. Generating the theorems, via the framework, provides a deeper understanding of assu...

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Bibliographic Details
Published in:Mathematical programming 1992-04, Vol.55 (1), p.81-98
Main Authors: PASSY, U, PRISMAN, E. Z
Format: Article
Language:English
Subjects:
Applied sciences
Exact sciences and technology
Operational research and scientific management
Operational research. Management science
Optimization. Search problems
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Summary:We show how saddle point theorems for a quasiconvex-quasiconcave function can be derived from duality theory. A symmetric duality framework that provides the machinery for deriving saddle point theorems is presented. Generating the theorems, via the framework, provides a deeper understanding of assumption employed in existing theorems which do not utilize duality theory.
ISSN:0025-5610
1436-4646
DOI:10.1007/BF01581192