General Duality Principle by Means of Lagrange Functions and Their Saddle Points

Eberhard Zeidler
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Eberhard Zeidler: Sektion Mathematik

Chapter Chapter 49 in Nonlinear Functional Analysis and its Applications, 1985, pp 457-478 from Springer

Abstract: Abstract In this chapter we set Lagrange functions and a related general duality principle at the pinnacle of duality theory. We treat important examples of Lagrange functions in: (α) Section 49.3 (linear optimization). (β) Section 50.1 (Kuhn-Tucker theory). (γ) Section 51.6 (Trefftz duality for linear elliptic partial differential equations). (δ) Section 51.7 (quasilinear elliptic partial differential equations).

Keywords: Saddle Point; Dual Problem; Lagrange Function; Maximal Monotone; Maximal Monotone Operator (search for similar items in EconPapers)
Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-5020-3_14

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DOI: 10.1007/978-1-4612-5020-3_14

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