Foundations of Mathematical Optimization Convex Analysis without Linearity
Many books on optimization consider only finite dimensional spaces. This volume is unique in its emphasis: the first three chapters develop optimization in spaces without linear structure, and the analog of convex analysis is constructed for this case. Many new results have been proved specially for...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1997, 1997
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| Edition: | 1st ed. 1997 |
| 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:
- 1. General Optimality
- 2. Optimization in Metric Spaces
- 3. Multifunctions and Marginal Functions in Metric Spaces
- 4. Well-Posedness and Weak Well-Posedness in Banach Spaces
- 5. Duality in Banach and Hilbert Spaces. Regularization
- 6.Necessary Conditions for Optimality and Local Optimality in Normed Spaces
- 7.Polynomials. Necessary and Sufficient Conditions of Optimality of Higher Order
- 8. Nondifferentiable Optimization
- 9. Numerical Aspects
- 10. Vector Optimization
- Author index
- List of symbols