Titlebook: Convex Functions, Monotone Operators and Differentiability; Robert R. Phelps Book 1993Latest edition Springer-Verlag Berlin Heidelberg 199

Cleveland

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mitten

Lower semicontinuous convex functions,vex functions, it is sometimes desirable to weaken this hypothesis. Lower semicontinuity is precisely what is needed. Uncomfortable as it may seem at first, the subject is best treated by introducing the seeming complication of admitting . real-valued functions, that is, functions with values in . ∪

glucagon

Smooth variational principles, Asplund spaces, weak Asplund spaces,n 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, control theory and global analysis. Recall the statement: If ƒ is lower semicontinuous

Ophthalmoscope

修改

Convex Functions, Monotone Operators and Differentiability978-3-540-46077-0Series ISSN 0075-8434 Series E-ISSN 1617-9692

Instrumental

0075-8434 Overview: 978-3-540-56715-8978-3-540-46077-0Series ISSN 0075-8434 Series E-ISSN 1617-9692

Instrumental

含水层

,Kulturtransfer als Übersetzen,The following class of spaces is formally larger than the class of weak Asplund spaces, but in some ways is a more natural object of study.

发酵

Vom amerikanischen Traum zum AlbtraumThere 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.

Femine

Monotone operators, subdifferentials and Asplund spaces,A set-valued map . from a Banach space . into the subsets of its dual .* is said to be a . provided . whenever . ∈ . and .* ∈ .(.), .* ∈ .(.). We do not require that .(.) be nonempty. The . (or .) .(.) of . is the set of all . ∈ . such that .(.) . nonempty.