Equilibrium problems: nonsmooth optimization and variational inequality models
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Dordrecht
Kluwer Academic Publishers
2001
|
| Series: | Nonconvex optimization and its applications
58 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references |
| Physical Description: | xiii, 300 p. ill. : 25 cm |
| ISBN: | 1402001614 |
Staff View
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| adam_text | IMAGE 1
EQUILIBRIUM PROBLEMS:
NONSMOOTH OPTIMIZATION AND VARIATIONAL INEQUALITY MODELS
EDITED BY FRANCO GIANNESSI UNIVERSITY OF PISA, ITALY
ANTONINO MAUGERI
UNIVERSITY OF CATANIA, ITALY
AND
PANOS M. PARDALOS
UNIVERSITY OF FLORIDA, USA.
TK.I
KLUWER ACADEMIC PUBLISHERS
DORDRECHT / BOSTON / LONDON
IMAGE 2
CONTENTS
P R E F A CE XIII
ON T HE N U M E R I C AL S O L U T I ON OF FINITE-DIMENSIONAL V A R I A
T I O N AL
I N E Q U A L I T I ES BY AN I N T E R I OR P O I NT M E T H OD 1
STEFANIA BELLAVIA AND MARIA GRAZIA GASPARO
1. INTRODUCTION 2
2. THE HPVI-METHOD 4
3. ALGORITHMIC ISSUES 6
4. NUMERICAL EXPERIMENTS 11
5. CONCLUSIONS AND PERSPECTIVES 20
REFERENCES 20
F I X ED P O I N TS IN O R D E R ED B A N A CH S P A C ES A ND A P P L I
C A T I O NS TO
ELLIPTIC B O U N D A R Y - V A L UE P R O B L E MS 25
GABRIELE BONANNO AND SALVATORE MARANO
1. INTRODUCTION 25
2. FIXED POINTS OF INCREASING FUNCTIONS 26
3. ELLIPTIC PROBLEMS WITH DISCONTINUOUS NONLINEARITIES 28
REFERENCES 31
A T H E O R EM OF T HE A L T E R N A T I VE FOR L I N E AR C O N T R OL
S Y S T E MS 33
PAOLO CUBIOTTI
1. INTRODUCTION 33
2. THE PROOF OF THEOREM 1.4 37
REFERENCES 41
VU
IMAGE 3
V L LL
V A R I A T I O N AL I N E Q U A L I T I ES FOR S T A T IC E Q U I L I B
R I UM M A R K E T. L A-
G R A N G E AN F U N C T I ON A ND D U A L I TY 43
PATRIZIA DANIELE
1. INTRODUCTION 43
2. PROOF OF THEOREM 1.2 48
3. PROOF OF THEOREM 1.3 49
4. CALCULATION OF THE EQUILIBRIUM 53
5. EXAMPLE 55
REFERENCES 57
ON D Y N A M I C AL E Q U I L I B R I UM P R O B L E MS A ND V A R I A T
I O N AL I N
E Q U A L I T I ES 59
PATRIZIA DANIELE AND ANTONINO MAUGERI
1. INTRODUCTION 60
2. A STATIC MARKET MODEL 60
3. THE TIME-DEPENDENT MARKET MODEL 64
4. EXISTENCE OF EQUILIBRIA 67
REFERENCES 69
N O N L I N E AR P R O G R A M M I NG M E T H O DS FOR S O L V I NG O P
T I M AL C O N-
T R OL P R O B L E MS 71
CARLA DURAZZI AND EMANUELE GALLIGANI
1. INTRODUCTION 72
2. FRAMEWORK OF THE METHOD 74
3. CHOICE OF THE PARAMETERS 77
4. A GLOBAL ALGORITHM 82
5. COMPUTATIONAL EXPERIENCE 84
5.1. OPTIMAL IN-STREAM AERATION 84
5.2. DIFFUSION CONVECTION PROCESSES 91
5.3. NUMERICAL RESULTS 96
REFERENCES 98
O P T I M AL FLOW P A T T E RN IN R O AD N E T W O R KS 101
PAOLO FERRARI
1. INTRODUCTION 101
2. THE TRADITIONAL THEORY OF SYSTEM OPTIMIZATION 103
IMAGE 4
IX
3. A NEW THEORY OF OPTIMAL FLOW PATTERN 107
4. CALCULATION OF THE OPTIMAL TOLL VECTOR 111
5. AN APPLICATION TO THE REAL CASE 113
6. CONCLUSIONS 116
REFERENCES 117
ON THE STORNG SOLVABILITY OF A UNILATERAL BOUNDARY VALUE PROBLEM FOR
NOLINEAR DISCONTINUOS OPERATORS IN THE PLANE 119
SOFIA GIUFFRE
1. INTRODUCTION 120
2. BASIC ASSUMPTIONS AND MAIN RESULTS 121
3. PRELIMINARY RESULTS 122
4. PROOF OF THE THEOREMS 123
5. REFERENCES 127
M O ST L I K E LY TRAFFIC E Q U I L I B R I UM R O U TE FLOWS A N A L Y
S IS A ND
C O M P U T A T I ON 129
T. LARSSON, J.T. LUNDGREN, M. PATRIKSSON AND C. RYDERGREN
1. INTRODUCTION 130
2. ILLUSTRATIVE EXAMPLES AND APPLICATIONS 130
2.1. ILLUSTRATIVE EXAMPLES 130
2.2. APPLICATIONS 131
3. MOST LIKELY EQUILIBRIUM FLOWS 137
3.1.PRELIMINARIES 137
3.2. AN ALTERNATIVE DERIVATION 139
4. SOLUTION PROCEDURE FOR THE ENTROPY PROGRAM 141
5. EXPERIMENTAL RESULTS 144
5.1. THE SIOUX FALLS NETWORK 146
5.2. THE WINNIPEG NETWORK 147
5.3. THE LINKOEPING NETWORK 149
6. AN APPLICATION: EXHAUST FUME EMISSION ANALYSIS 151
APPENDIX A: RELATION BETWEEN THE STOCHASTIC USER EQUILIBRIUM AND THE
MOST LIKELY ROUTE FLOWS 152
APPENDIX B: RELATION BETWEEN THE MODEIS FOR FINDING THE MOST LIKELY O-D
LINK FLOWS AND THE MOST LIKELY ROUTE FLOWS 153
REFERENCES 157
IMAGE 5
X
EXISTENCE OF SOLUTIONS TO BILEVEL VARIATIONAL PROBLEMS IN
BANACH SPACES 161
MARIA BEATRICE LIGNOLA AND JACQUELINE MORGAN
1. INTRODUCTION 161
2. A GENERAL EXISTENCE RESULT 164
3. MONOTONE CASE 166
4. PSEUDOMONOTONE CASE 168
5. OPEN PROBLEMS 171
REFERENCES 172
ON T HE E X I S T E N CE OF S O L U T I O NS TO V E C T OR O P T I M I Z
A T I ON P R O B
L E MS 175
GIANDOMENICO MASTROENI AND MASSIMO PAPPALARDO
1. INTRODUCTION 175
2. IMAGE SPACE AND SEPARATION 176
3. EXISTENCE OF A VECTOR MINIMUM POINT 179
4. ABOUT THE CONE-COMPACTNESS 181
REFERENCES 184
E Q U I L I B R I UM P R O B L E MS A ND V A R I A T I O N AL I N E Q U
A L I T I ES 187
ANTONINO MAUGERI
1. INTRODUCTION 187
2. THE SIGNORINI PROBLEM 188
3. THE OBSTACLE PROBLEM 195
4. A CONTINUOUS MODEL OF TRANSPORTATION 198
REFERENCES 203
AXIOMATIZATION FOR APPROXIMATE SOLUTIONS IN OPTIMIZATION 207 HENK NORDE
AND FIORAVANTE PATRONE
1. INTRODUCTION 207
2. OPTIMIZATION PROBLEMS 210
3. AXIOMS 211
4. CHARACTERIZATIONS OF SOLUTIONS 214
5. VECTOR OPTIMIZATION 217
6. APPROXIMATION WITH SEQUENCES 218
REFERENCES 220
IMAGE 6
XI
N E C E S S A RY A ND SUFFICIENT C O N D I T I O NS OF W A R D R OP T Y
PE FOR
V E C T O R I AL TRAFFIC E Q U I L I B R IA 223
WERNER OETTLI
1. INTRODUCTION 223
2. THE SCALAR CASE 224
3. THE VECTORIAL CASE 225
4. RESULTS 226
REFERENCES 228
A P P R O X I M A TE S O L U T I O NS A ND T I K H O N OV W E L L - P O
S E D N E SS FOR
N A SH E Q U I L I B R IA 231
L. PUSILLO CHICCO
1. INTRODUCTION 231
2. T-WP FOR NASH EQUILIBRIA 233
3. A NEW APPROACH TO TIKHONOV WELL-POSEDNESS FOR NASH EQUILIBRIA 235
4. ORDINALITY OF T -WP 237
5. METRIE CHARACTERIZATION OF T -WP 239
6. AN APPLICATION: OLIGOPOLY MODEIS 241
7. OPEN PROBLEMS 243
REFERENCES 244
E Q U I L I B R I UM IN T I ME D E P E N D E NT TRAFFIC N E T W O R KS W
I TH D E L AY 247
FABIO RACITI
1. INTRODUCTION 247
2. THE MODEL 249
3. EXISTENCE OF EQUILIBRIA 251
4. AN EXAMPLE 252
REFERENCES 253
N EW R E S U L TS ON L O C AL M I N I MA A ND T H E IR A P P L I C A T I
O NS 255
BIAGIO RICCERI
REFERENCES 267
IMAGE 7
X LL
AN OVERVIEW ON PROJECTION-TYPE METHODS FOR CONVEX
SCALE QUADRATIC PROGRAMS VALERIA RUGGIERO AND LUCA ZANNI
1. INTRODUCTION
2. THE PROJECTION AND SPLITTING METHODS 3. THE VARIABLE PROJECTION
METHOD 4. THE ADAPTIVE VARIABLE PROJECTION METHOD 5. UPDATING RULES FOR
THE PROJECTION PARAMETER 6. SOLUTION OF INEER QP SUBPROBLEMS 7.
COMPUTATIONAL EXPERIMENTS REFERENCES
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| indexdate | 2024-07-09T19:02:55Z |
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| spelling | Equilibrium problems nonsmooth optimization and variational inequality models edited by Franco Giannessi, Antonino Maugeri, and Panos M. Pardalos Dordrecht Kluwer Academic Publishers 2001 xiii, 300 p. ill. : 25 cm txt rdacontent n rdamedia nc rdacarrier Nonconvex optimization and its applications 58 Includes bibliographical references Equilibrium Nonsmooth optimization Variational inequalities (Mathematics) Variationsungleichung (DE-588)4187420-1 gnd rswk-swf Nichtglatte Optimierung (DE-588)4120798-1 gnd rswk-swf Gleichgewichtstheorie (DE-588)4071876-1 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1998 Taormina gnd-content Nichtglatte Optimierung (DE-588)4120798-1 s Variationsungleichung (DE-588)4187420-1 s Gleichgewichtstheorie (DE-588)4071876-1 s DE-604 Giannessi, Franco Sonstige oth Nonconvex optimization and its applications 58 (DE-604)BV010085908 58 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009875542&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Equilibrium problems nonsmooth optimization and variational inequality models Nonconvex optimization and its applications Equilibrium Nonsmooth optimization Variational inequalities (Mathematics) Variationsungleichung (DE-588)4187420-1 gnd Nichtglatte Optimierung (DE-588)4120798-1 gnd Gleichgewichtstheorie (DE-588)4071876-1 gnd |
| subject_GND | (DE-588)4187420-1 (DE-588)4120798-1 (DE-588)4071876-1 (DE-588)1071861417 |
| title | Equilibrium problems nonsmooth optimization and variational inequality models |
| title_auth | Equilibrium problems nonsmooth optimization and variational inequality models |
| title_exact_search | Equilibrium problems nonsmooth optimization and variational inequality models |
| title_full | Equilibrium problems nonsmooth optimization and variational inequality models edited by Franco Giannessi, Antonino Maugeri, and Panos M. Pardalos |
| title_fullStr | Equilibrium problems nonsmooth optimization and variational inequality models edited by Franco Giannessi, Antonino Maugeri, and Panos M. Pardalos |
| title_full_unstemmed | Equilibrium problems nonsmooth optimization and variational inequality models edited by Franco Giannessi, Antonino Maugeri, and Panos M. Pardalos |
| title_short | Equilibrium problems |
| title_sort | equilibrium problems nonsmooth optimization and variational inequality models |
| title_sub | nonsmooth optimization and variational inequality models |
| topic | Equilibrium Nonsmooth optimization Variational inequalities (Mathematics) Variationsungleichung (DE-588)4187420-1 gnd Nichtglatte Optimierung (DE-588)4120798-1 gnd Gleichgewichtstheorie (DE-588)4071876-1 gnd |
| topic_facet | Equilibrium Nonsmooth optimization Variational inequalities (Mathematics) Variationsungleichung Nichtglatte Optimierung Gleichgewichtstheorie Konferenzschrift 1998 Taormina |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009875542&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV010085908 |
| work_keys_str_mv | AT giannessifranco equilibriumproblemsnonsmoothoptimizationandvariationalinequalitymodels |