Continuous Selections of Multivalued Mappings
This book is dedicated to the theory of continuous selections of multi valued mappings, a classical area of mathematics (as far as the formulation of its fundamental problems and methods of solutions are concerned) as well as !'J-n area which has been intensively developing in recent decades a...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1998, 1998
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| Edition: | 1st ed. 1998 |
| Series: | Mathematics and Its Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- A. Theory
- §0. Preliminaries
- §1. Convex-valued selection theorem
- §2. Zero-dimensional selection theorem
- §3. Relations between Zero-dimensional and Convex-valued selection theorems
- §4. Compact-valued selection theorem
- §5. Finite-dimensional selection theorem
- §6. Examples and counterexamples
- §7. Addendum: New proof of Finite-dimensional selection theorem
- B. Results
- §1. Characterization of normality-type properties
- §2. Unified selection theorems
- §3. Selection theorems for non-lower semicontinuous mappings
- §4. Selection theorems for nonconvex-valued maps
- §5. Miscellaneous results
- §6. Measurable selections
- C. Applications
- §1. First applications
- §2. Regular mappings and locally trivial fibrations
- §3. Fixed-point theorems
- §4. Homeomorphism Group Problem
- §5. Soft mappings
- §6. Metric projections
- §7. Differential inclusions
- References