Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: infimal convolution

Sortuj według:

Ogranicz wyniki do:

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

The operation of infimal convolution

100%

Strömberg T.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS 1. Introduction and preliminaries....................................................5 1.1. Introduction............................................................................5 1.2. Organization..........................................................................6 1.3. Prerequisites.........................................................................6 1.4. Introductory examples...........................................................9 2. Elementary properties.............................................................14 2.1. Basic facts...........................................................................14 2.2. Infimal convolution of subadditive functions.........................17 2.3. Semicontinuity, continuity, and exactness............................19 2.4. Two examples......................................................................22 3. The convex case.....................................................................23 3.1. Basic results........................................................................23 3.2. Differential calculus, and first order differentiability..............28 3.3. Formulas on f ▫ g.................................................................31 3.4. Loss of differentiability.........................................................32 4. Continuity of the operation of infimal convolution....................33 4.1. Introduction.........................................................................34 4.2. Epi-convergence.................................................................35 4.3. The Mosco topology and the slice topology.........................36 4.4. The affine topology..............................................................38 4.5. The Attouch-Wets topology.................................................39 5. Regularization.........................................................................41 5.1. Introduction and first results................................................41 5.2. Approximation in Hilbert spaces...........................................47 5.3. Generalized Moreau-Yosida approximation.........................52 References..................................................................................55

Ograniczanie wyników

1 Strömberg T.

1 1996

Wyniki wyszukiwania

The operation of infimal convolution