Titlebook: Convex Functions, Monotone Operators and Differentiability; Robert R. Phelps Book 19891st edition Springer-Verlag Berlin Heidelberg 1989 b

Stricture

overture

Krieg bringt Fortschritt: absurd oder real?There has been much relatively recent work showing that Kenderov’s results about generic continuity of maximal monotone operators are special cases of theorems of a more topological nature. We will describe some of this, selecting the results most closely related to our primary interest in Banach spaces.

組成

Convex functions on real Banach spaces,The letter E will always denote a real Banach space, D will be a nonempty open convex subset of E and f will be a convex function on D.

分開

infelicitous

GRIPE

Gateaux differentiability spaces,The following class of spaces is formally larger than the class of weak Asplund spaces, but appears to be a more natural object of study.

hypotension

A generalization of monotone operators: Usco maps,There has been much relatively recent work showing that Kenderov’s results about generic continuity of maximal monotone operators are special cases of theorems of a more topological nature. We will describe some of this, selecting the results most closely related to our primary interest in Banach spaces.

碎石

Frieden und Sicherheit durch mehr Waffen?l in proving Borwein’s Theorem 3.17, which in turn provided a unified approach to a sequence of fundamental results. As shown in Ekeland’s survey article [Ek], it has found application in such diverse areas as fixed-point theorems, nonlinear semigroups, optimization, mathematical programming, contro

CULP

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