Fixed Point Theory for Decomposable Sets

Part 1. Functional Analysis Background

1. Preliminaries

2. Real and vector measures

Part 2. Multifunctions

3. Preliminary notions

4. Upper and lower semicontinuous multifunctions

5. Measurable multifunctions

6. Carathéodory type multifunctions

7. Fixed points property for convex-valued mappings

Part 3. Decomposability

8. Decomposable sets

9. Selections

10. Fixed points property

11. Aumann integrals

12. Selections of Aumann integrals

13. Fixed points for multivalued contractions

14. Operator and differential inclusions

15. Decomposable analysis

DRM-restrictions

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Avainsanat: MATHEMATICS / General MAT000000