عنوان

Topologies on closed and closed convex sets /

(Number (ISBN

0792325311

(Number (ISBN

9780792325314

Title Proper

Topologies on closed and closed convex sets /

General Material Designation

[Book]

First Statement of Responsibility

by Gerald Beer.

Place of Publication, Distribution, etc.

Boston :

Name of Publisher, Distributor, etc.

Kluwer Academic Publishers,

Date of Publication, Distribution, etc.

©1993.

Specific Material Designation and Extent of Item

xi, 340 pages :

Other Physical Details

illustrations ;

Dimensions

25 cm.

Series Title

Mathematics and its applications ;

Volume Designation

v. 268

Text of Note

Includes bibliographical references (pages 315-330) and index.

Text of Note

Ch. 1. Preliminaries. Sect. 1.1. Notation and Background Material. Sect. 1.2. Weak Topologies. Sect. 1.3. Semicontinuous Functions. Sect. 1.4. Convex Sets and the Separation Theorem. Sect. 1.5. Gap and Excess -- Ch. 2. Weak Topologies Determined by Distance Functionals. Sect. 2.1. The Wijsman Topology. Sect. 2.2. Hit-and-Miss Topologies and the Wijsman Topology. Sect. 2.3. UC Spaces. Sect. 2.4. The Slice Topology. Sect. 2.5. Complete Metrizability of the Wijsman and Slice Topologies -- Ch. 3. The Attouch-Wets and Hausdorff Metric Topologies. Sect. 3.1. The Attouch-Wets Topology. Sect. 3.2. The Hausdorff Metric topology. Sect. 3.3. Varying the Metrics. Sect. 3.4. Set Convergence and Strong Convergence of Linear Functionals -- Ch. 4. Gap and Excess Functionals and Weak Topologies. Sect. 4.1. Families of Gap and Excess Functionals. Sect. 4.2. Presentations of the Attouch-Wets and Hausdorff Metric Topologies. Sect. 4.3. The Scalar Topology and the Linear Topology for Convex Sets.

Text of Note

Ch. 8. The Slice Topology for Convex Functions. Sect. 8.1. Slice and Dual Slice Convergence of Convex Functions. Sect. 8.2. Convex Duality and the Slice Topology. Sect. 8.3. Subdifferentials of Convex Functions and the Slice Topology. Sect. 8.4. Stability of the Geometric Ekeland Principle.

Text of Note

Sect. 4.4. Weak Topologies determined by Infimal Value Functionals -- Ch. 5. The Fell Topology and Kuratowski-Painleve Convergence. Sect. 5.1. The Fell Topology. Sect. 5.2. Kuratowski-Painleve Convergence. Sect. 5.3. Epi-convergence. Sect. 5.4. Mosco Convergence and the Mosco Topology. Sect. 5.5. Mosco Convergence versus Wijsman Convergence -- Ch. 6. Multifunctions: The Rudiments. Sect. 6.1. Multifunctions. Sect. 6.2. Lower and Upper Semicontinuity for Multifunctions. Sect. 6.3. Outer Semicontinuity versus Upper Semicontinuity. Sect. 6.4. KKM Maps and their Application. Sect. 6.5. Measurable Multifunctions. Sect. 6.6. Two Selection Theorems -- Ch. 7. The Attouch-Wets Topology for Convex Functions. Sect. 7.1. Attouch-Wets Convergence of Epigraphs. Sect. 7.2. Continuity of Polarity and the Attouch-Wets Topology. Sect. 7.3. Regularization of Convex Functions and Attouch-Wets Convergence. Sect. 7.4. The Sum Theorem. Sect. 7.5. Convex Optimization and the Attouch-Wets Topology.

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Hyperspace.

Metric spaces.

Normed linear spaces.

Topology.

hiperterek-- topológia (matematika)

konvex geometria

Espaces linéaires normés.

Espaces métriques.

Geordneter topologischer Vektorraum

Hyperespace.

Hyperraum

Hyperspace.

Metric spaces.

Metrischer Raum

Normed linear spaces.

Topologie

Topologie.

Topology.

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Beer, Gerald Alan.

Date of Transaction

20200822130353.0

Electronic name

[Book]

Y