Techniques of variational analysis:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New York, NY
Springer
2005
|
| Schriftenreihe: | CMS books in mathematics
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015198973&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Literaturverz. S. [339] - 352 |
| Umfang: | VI, 362 S. graph. Darst. |
| ISBN: | 0387242988 |
Internformat
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Datensatz im Suchindex
| _version_ | 1819378086751240192 |
|---|---|
| adam_text | JONATHAN M. BORWEIN QIJI J. ZHU TECHNIQUES OF VARIATIONAL ANALYSIS WITH
12 FIGURES |Y SPRINGER CONTENTS INTRODUCTION 1 1.1 INTRODUCTION 1 1.2
NOTATION 2 1.3 EXERCISES 4 VARIATIONAL PRINCIPLES 5 2.1 EKELAND
VARIATIONAL PRINCIPLES 5 2.2 GEOMETRIC FORMS OF THE VARIATIONAL
PRINCIPLE 10 2.3 APPLICATIONS TO FIXED POINT THEOREMS 15 2.4 FINITE
DIMENSIONAL VARIATIONAL PRINCIPLES 19 2.5 BORWEIN-PREISS VARIATIONAL
PRINCIPLES 30 VARIATIONAL TECHNIQUES IN SUB DIFFERENTIAL THEORY 37 3.1
THE FRECHET SUBDIFFERENTIAL AND NORMAL CONE 39 3.2 NONLOCAL SUM RULE AND
VISCOSITY SOLUTIONS 47 3.3 LOCAL SUM RULES AND CONSTRAINED MINIMIZATION
54 3.4 MEAN VALUE THEOREMS AND APPLICATIONS 78 3.5 CHAIN RULES AND
LYAPUNOV FUNCTIONS 87 3.6 MULTIDIRECTIONAL MVI AND SOLVABILITY 95 3.7
EXTREMAL PRINCIPLES 103 VARIATIONAL TECHNIQUES IN CONVEX ANALYSIS ILL
4.1 CONVEX FUNCTIONS AND SETS . ILL 4.2 SUBDIFFERENTIAL 117 4.3 SANDWICH
THEOREMS AND CALCULUS 127 4.4 FENCHEL CONJUGATE * 134 4.5 CONVEX
FEASIBILITY PROBLEMS 140 4.6 DUALITY INEQUALITIES FOR SANDWICHED
FUNCTIONS 150 4.7 ENTROPY MAXIMIZATION 157 VI CONTENTS 5 VARIATIONAL
TECHNIQUES AND MULTIFUNCTIONS 165 5.1 MULTIFUNCTIONS 165 5.2
SUBDIFFERENTIALS AS MULTIFUNCTIONS 188 5.3 DISTANCE FUNCTIONS 214 5.4
CODERIVATIVES OF MULTIFUNCTIONS 220 5.5 IMPLICIT MULTIFUNCTION THEOREMS
229 6 VARIATIONAL PRINCIPLES IN NONLINEAR FUNCTIONAL ANALYSIS .... 243
6.1 SUBDIFFERENTIAL AND ASPLUND SPACES 243 6.2 NONCONVEX SEPARATION
THEOREMS 259 6.3 STEGALL VARIATIONAL PRINCIPLES 266 6.4 MOUNTAIN PASS
THEOREM 274 6.5 ONE-PERTURBATION VARIATIONAL PRINCIPLES 280 7
VARIATIONAL TECHNIQUES IN THE PRESENCE OF SYMMETRY 291 7.1 NONSMOOTH
FUNCTIONS ON SMOOTH MANIFOLDS 291 7.2 MANIFOLDS OF MATRICES AND SPECTRAL
FUNCTIONS 299 7.3 CONVEX SPECTRAL FUNCTIONS 316 REFERENCES 339 INDEX 353
|
| any_adam_object | 1 |
| author | Borwein, Jonathan M. 1951-2016 Zhu, Qiji J. |
| author_GND | (DE-588)115617884 |
| author_facet | Borwein, Jonathan M. 1951-2016 Zhu, Qiji J. |
| author_role | aut aut |
| author_sort | Borwein, Jonathan M. 1951-2016 |
| author_variant | j m b jm jmb q j z qj qjz |
| building | Verbundindex |
| bvnumber | BV021983951 |
| callnumber-first | Q - Science |
| callnumber-label | QA315 |
| callnumber-raw | QA315 |
| callnumber-search | QA315 |
| callnumber-sort | QA 3315 |
| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)61029300 (DE-599)BVBBV021983951 |
| dewey-full | 515/.64 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.64 |
| dewey-search | 515/.64 |
| dewey-sort | 3515 264 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV021983951 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T12:46:18Z |
| institution | BVB |
| isbn | 0387242988 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015198973 |
| oclc_num | 61029300 |
| open_access_boolean | |
| owner | DE-706 |
| owner_facet | DE-706 |
| physical | VI, 362 S. graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Springer |
| record_format | marc |
| series2 | CMS books in mathematics |
| spellingShingle | Borwein, Jonathan M. 1951-2016 Zhu, Qiji J. Techniques of variational analysis Calcul des variations Cálculo de variações larpcal Calculus of variations Variationsrechnung (DE-588)4062355-5 gnd |
| subject_GND | (DE-588)4062355-5 |
| title | Techniques of variational analysis |
| title_auth | Techniques of variational analysis |
| title_exact_search | Techniques of variational analysis |
| title_full | Techniques of variational analysis Jonathan M. Borwein ; Qiji J. Zhu |
| title_fullStr | Techniques of variational analysis Jonathan M. Borwein ; Qiji J. Zhu |
| title_full_unstemmed | Techniques of variational analysis Jonathan M. Borwein ; Qiji J. Zhu |
| title_short | Techniques of variational analysis |
| title_sort | techniques of variational analysis |
| topic | Calcul des variations Cálculo de variações larpcal Calculus of variations Variationsrechnung (DE-588)4062355-5 gnd |
| topic_facet | Calcul des variations Cálculo de variações Calculus of variations Variationsrechnung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015198973&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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