Convex Functions, Monotone Operators and Differentiability

ISBN-13: 9783540567158 / Angielski / Miękka / 1993 / 120 str.

Robert R. Phelps

Opis

Starting with convex functions on the line, this title leads to interconnected topics in convexity, differentiability and subdifferentiability of convex functions in Banach spaces, generic continuity of monotone operators, geometry of Banach spaces and the Radon-Nikodym property, convex analysis, variational principles and perturbed optimization.

Spis treści

Convex functions on real Banach spaces.- Monotone operators, subdifferentials and Asplund spaces.- Lower semicontinuous convex functions.- Smooth variational principles, Asplund spaces, weak Asplund spaces.- Asplund spaces, the RNP and perturbed optimization.- Gâteaux differentiability spaces.- A generalization of monotone operators: Usco maps.