Duality inequalities and sandwiched functions

DOI10.1016/S0362-546X(00)00129-2zbMath1008.49012OpenAlexW2094982875WikidataQ56935801 ScholiaQ56935801MaRDI QIDQ5947218

Jonathan M. Borwein, S. P. Fitzpatrick

Publication date: 31 March 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(00)00129-2

zbMATH Keywords

Ekeland variational principleFenchel dualitymean-value inequalitiesnonconvex separationsandwich theoremShauder fixed-point theorem

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Set-valued and variational analysis (49J53) Duality theory (optimization) (49N15)

Related Items (1)

Representation of continuous functions and its applications

Cites Work

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• Fat homeomorphisms and unbounded derivate containers
• Minimax monotonicity
• On the variational principle
• Optimization and nonsmooth analysis
• Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
• Mean Value Inequalities
• A nonlinear duality result equivalent to the Clarke-Ledyaev mean value inequality
• Rolle's Theorem Fails in l 2
• Nonsmooth Duality, Sandwich, and Squeeze Theorems

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