Subdifferentials: theory and applications
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Dordrecht [u.a.]
Kluwer
1995
|
| Series: | Mathematics and its applications
323 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 398 S. |
| ISBN: | 0792333896 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
Preface vii
Chapter 1. Convex Correspondences and Operators
1. Convex Sets 2
2. Convex Correspondences 12
3. Convex Operators 22
4. Fans and Linear Operators 35
5. Systems of Convex Objects 47
6. Comments 58
Chapter 2. Geometry of Subdifferentials
1. The Canonical Operator Method 62
2. Extremal Structure of Subdifferentials 78
3. Subdifferentials of Operators Acting in Modules 92
4. The Intrinsic Structure of Subdifferentials 108
5. Caps and Faces 123
6. Comments 134
Chapter 3. Convexity and Openness
1. Openness of Convex Correspondences 138
2. The Method of General Position 151
3. Calculus of Polars 164
4. Dual Characterization of Openness 177
5. Openness and Completeness 187
6. Comments 196
yi
Chapter 4. The Apparatus of Subdifferential Calculus
1. The Young Fenchel Transform 200
2. Formulas for SubdifFerentiation 212
3. Semicontinuity 221
4. Maharam Operators 233
5. Disintegration 243
6. Infinitesimal Subdifferentials 254
7. Comments 266
Chapter 5. Convex Extremal Problems
1. Vector Programs. Optimality 269
2. The Lagrange Principle 274
3. Conditions for Optimality and Approximate Optimality 282
4. Conditions for Infinitesimal Optimality 290
5. Existence of Generalized Solutions 293
6. Comments 305
Chapter 6. Local Convex Approximations
1. Classification of Local Approximations 308
2. Kuratowski and Rockafellar Limits 320
3. Approximations Determined by a Set of Infinitesimals 330
4. Approximation to the Composition of Sets 342
5. Subdifferentials of Nonsmooth Operators 348
6. Comments 358
References 363
Author Index 391
Subject Index 394
Symbol Index 399
|
| any_adam_object | 1 |
| author | Kusraev, Anatolij G. Kutateladze, Semen S. 1945- |
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| discipline | Mathematik |
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| id | DE-604.BV010345411 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:50:54Z |
| institution | BVB |
| isbn | 0792333896 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006886316 |
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| owner_facet | DE-12 DE-824 DE-706 |
| physical | IX, 398 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Kluwer |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Kusraev, Anatolij G. Verfasser aut Subdifferentials theory and applications by A. G. Kusraev and S. S. Kutateladze Dordrecht [u.a.] Kluwer 1995 IX, 398 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 323 Convex functions Mathematical optimization Subdifferentials Subdifferential (DE-588)4404539-6 gnd rswk-swf Subdifferential (DE-588)4404539-6 s DE-604 Kutateladze, Semen S. 1945- Verfasser (DE-588)123299268 aut Mathematics and its applications 323 (DE-604)BV008163334 323 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006886316&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kusraev, Anatolij G. Kutateladze, Semen S. 1945- Subdifferentials theory and applications Mathematics and its applications Convex functions Mathematical optimization Subdifferentials Subdifferential (DE-588)4404539-6 gnd |
| subject_GND | (DE-588)4404539-6 |
| title | Subdifferentials theory and applications |
| title_auth | Subdifferentials theory and applications |
| title_exact_search | Subdifferentials theory and applications |
| title_full | Subdifferentials theory and applications by A. G. Kusraev and S. S. Kutateladze |
| title_fullStr | Subdifferentials theory and applications by A. G. Kusraev and S. S. Kutateladze |
| title_full_unstemmed | Subdifferentials theory and applications by A. G. Kusraev and S. S. Kutateladze |
| title_short | Subdifferentials |
| title_sort | subdifferentials theory and applications |
| title_sub | theory and applications |
| topic | Convex functions Mathematical optimization Subdifferentials Subdifferential (DE-588)4404539-6 gnd |
| topic_facet | Convex functions Mathematical optimization Subdifferentials Subdifferential |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006886316&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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