General Lagrange Multipliers (Dubovickii-Miljutin Theory)

Eberhard Zeidler
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Eberhard Zeidler: Sektion Mathematik

Chapter Chapter 48 in Nonlinear Functional Analysis and its Applications, 1985, pp 407-452 from Springer

Abstract: Abstract In Chapter 43 (eigenvalue problems) and in Section 47.10 (Kuhn-Tucker theory), we became acquainted with the Lagrange multiplier method for handling extremal problems. In this chapter we prove a very general formulation of this method (Theorem 48.A in Section 48.3). In this connection, the direction cone and the positive functionals that exist on it play the crucial role.

Date: 1985
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DOI: 10.1007/978-1-4612-5020-3_13

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