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Convex Analysis and Beyond : Volume I: Basic Theory / / by Boris S. Mordukhovich, Nguyen Mau Nam
| Convex Analysis and Beyond : Volume I: Basic Theory / / by Boris S. Mordukhovich, Nguyen Mau Nam |
| Autore | Mordukhovich B. Sh (Boris Sholimovich) |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (597 pages) |
| Disciplina |
516.08
515.882 |
| Collana | Springer Series in Operations Research and Financial Engineering |
| Soggetto topico |
Mathematical optimization
Numerical analysis Optimization Numerical Analysis |
| ISBN |
9783030947859
3030947858 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Fundamentals -- Basic theory of convexity -- Convex generalized differentiation -- Enhanced calculus and fenchel duality -- Variational techniques and further subgradient study -- Miscellaneous topics on convexity -- Convexified Lipschitzian analysis -- List of Figures -- Glossary of Notation and Acronyms -- Subject Index. |
| Record Nr. | UNINA-9910564678903321 |
Mordukhovich B. Sh (Boris Sholimovich)
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Convex and Set-Valued Analysis : Selected Topics / / Aram V. Arutyunov, Valeri Obukhovskii
| Convex and Set-Valued Analysis : Selected Topics / / Aram V. Arutyunov, Valeri Obukhovskii |
| Autore | Arutyunov Aram V. |
| Pubbl/distr/stampa | Berlin ; ; Boston : , : De Gruyter, , [2016] |
| Descrizione fisica | 1 online resource (210 pages) |
| Disciplina | 515.882 |
| Collana | De Gruyter Textbook |
| Soggetto topico |
Convex sets
Hausdorff measures Topological spaces Differential inclusions Set-valued maps |
| ISBN |
3-11-046041-6
3-11-046030-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Part I: Convex analysis -- 1. Convex sets and their properties -- 2. The convex hull of a set. The interior of convex sets -- 3. The affine hull of sets. The relative interior of convex sets -- 4. Separation theorems for convex sets -- 5. Convex functions -- 6. Closedness, boundedness, continuity, and Lipschitz property of convex functions -- 7. Conjugate functions -- 8. Support functions -- 9. Differentiability of convex functions and the subdifferential -- 10. Convex cones -- 11. A little more about convex cones in infinite-dimensional spaces -- 12. A problem of linear programming -- 13. More about convex sets and convex hulls -- Part II: Set-valued analysis -- 14. Introduction to the theory of topological and metric spaces -- 15. The Hausdorff metric and the distance between sets -- 16. Some fine properties of the Hausdorff metric -- 17. Set-valued maps. Upper semicontinuous and lower semicontinuous set-valued maps -- 18. A base of topology of the space Hc(X) -- 19. Measurable set-valued maps. Measurable selections and measurable choice theorems -- 20. The superposition set-valued operator -- 21. The Michael theorem and continuous selections. Lipschitz selections. Single-valued approximations -- 22. Special selections of set-valued maps -- 23. Differential inclusions -- 24. Fixed points and coincidences of maps in metric spaces -- 25. Stability of coincidence points and properties of covering maps -- 26. Topological degree and fixed points of set-valued maps in Banach spaces -- 27. Existence results for differential inclusions via the fixed point method -- Notation -- Bibliography -- Index |
| Record Nr. | UNINA-9910162993403321 |
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Arutyunov Aram V.
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| Berlin ; ; Boston : , : De Gruyter, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fundamentals of Convex Analysis and Optimization : A Supremum Function Approach / / by Rafael Correa, Abderrahim Hantoute, Marco A. López
| Fundamentals of Convex Analysis and Optimization : A Supremum Function Approach / / by Rafael Correa, Abderrahim Hantoute, Marco A. López |
| Autore | Correa Rafael <1890-> |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (XIII, 444 p. 1 illus.) |
| Disciplina | 515.882 |
| Collana | Springer Series in Operations Research and Financial Engineering |
| Soggetto topico |
Operations research
Management science Mathematical optimization Functional analysis Operations Research, Management Science Optimization Functional Analysis |
| ISBN | 3-031-29551-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 2. Preliminaries -- 3. Fenchel-Moreau-Rockafellar theory -- 4. Fundamental topics in convex analysis -- 5. Supremum of convex functions -- 6. The supremum in specific contexts -- 7. Other subdifferential calculus rules -- 8. Miscellaneous -- 9. Exercises - Solutions -- Index -- Glossary of Notations -- Bibliography. |
| Record Nr. | UNINA-9910734837003321 |
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Correa Rafael <1890->
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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