Convex Functionals on Convex Sets and Convex Analysis

Eberhard Zeidler
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Eberhard Zeidler: Sektion Mathematik

Chapter Chapter 47 in Nonlinear Functional Analysis and its Applications, 1985, pp 379-406 from Springer

Abstract: Abstract Over the last 20 years, parallel to the theory of monotone operators, a calculus for the investigation of convex functionals designated by convex analysis has emerged, which allows one to solve a number of problems in a simple way. To this calculus belong: (α) The subgradient ∂F (a generalization of the classical concept of derivative). (β) The conjugate functional F* (duality theory).

Keywords: Variational Inequality; Duality Mapping; Monotone Operator; Lower Semicontinuous; Maximal Monotone (search for similar items in EconPapers)
Date: 1985
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DOI: 10.1007/978-1-4612-5020-3_12

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