Phelps, Robert R.

Convex Functions, Monotone Operators and Differentiability [electronic resource] / by Robert R. Phelps. - 2nd Edition. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1993. - XII, 120 p. online resource. - Lecture Notes in Mathematics, 1364 0075-8434 ; . - Lecture Notes in Mathematics, 1364 .

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.

9783540460770

10.1007/978-3-540-46077-0 doi


Mathematics.
Global analysis (Mathematics).
Systems theory.
Mathematical optimization.
Mathematics.
Analysis.
Systems Theory, Control.
Calculus of Variations and Optimal Control; Optimization.

QA299.6-433

515
The Institute of Mathematical Sciences, Chennai, India

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