Vector variational inequalities and vector equilibria: mathematical theories
Gespeichert in:
| Weitere Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer Acad. Publ.
2000
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| Schriftenreihe: | Nonconvex optimization and its applications
38 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 523 S. |
| ISBN: | 0792360265 |
Internformat
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Datensatz im Suchindex
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| adam_text | VECTOR VARIATIONAL IRIEQUALITIES AND VECTOR EQUILIBRIA MATHEMATICAL
THEORIES EDITED BY FRANCO GIANNESSI DEPARTMENT OF MATHEMATICS,
UNIVERSITY OFPISA, PISA, ITALY T4 KLUWER ACADEMIC PUBLISHERS DORDRECHT /
BOSTON / LONDON CONTENTS PREFACE XIII VECTOR EQUILIBRIUM PROBLEMS AND
VECTOR VARIATIONAL INEQUALITIES PAG. 1 A.B.. ANSARI 1. INTRODUCTION PAG.
1 2. PRELIMINARIES PAG. 3 3. EXISTENCE RESULTS PAG. 4 4. STRONGLY
NONLINEAR VECTOR VARIATIONAL INEQUALITIES PAG. 12 REFERENCES PAG. 14
GENERALIZED VECTOR VARIATIONAL*LIKE INEQUALITIES AND THEIR SCALARIZATION
PAG. 17 A.H. ANSARI, A.H. SIDDIQI AND J.-C. YAO 1. INTRODUCTION PAG. 18
2. PRELIMINARIES PAG. 20 3. EXISTENCE RESULTS PAG. 23 4. SCALARIZATION
PAG. 31 REFERENCE PAG. 34 EXISTENCE OF SOLUTIONS FOR GENERALIZED VECTOR
VARIATIONAL*LIKE INEQUALITIES PAG. 39 S.S. CHANG, H.B. THOMPSON AND
G.X-Z. YUAN 1. INTRODUCTION AND PRELIMINARIES PAG. 40 2. EXISTENCE
THEOREMS PAG. 43 REFERENCES PAG. 51 ON GAP FUNCTIONS FOR VECTOR
VARIATIONAL INEQUALITIES PAG. 55 G.-Y. CHEN, C.-J. GOH AND X.Q. YANG 1.
INTRODUCTION PAG. 56 2. MATHEMATICAL PRELIMINARIES PAG. 56 3. A FIRST
GAP FUNCTION PAG. 59 4. CONVEXITY OF THE FIRST GAP FUNCTION PAG. 64 VI
5. A SECOND GAP FUNCTION PAG. 67 6. CONCLUDING REMARKS PAG. 70
REFERENCES PAG. 70 EXISTENCE OF SOLUTIONS FOR VECTOR VARIATIONAL
INEQUALITIES PAG. 73 G.-Y. CHEN AND S.-H. HOU 1. INTRODUCTION PAG. 73 2.
MODELS AND BASIC RESULTS PAG. 74 3. A KIND OF GENERALIZED VECTOR
VARIATIONAL-LIKE INEQUALITIES PAG. 79 4. COMMENTS PAG. 82 REFERENCES
PAG. 83 ON THE EXISTENCE OF SOLUTIONS TO VECTOR COMPLEMENTARITY PROBLEMS
PAG. 87 G.-Y. CHEN AND X.Q. YANG 1. INTRODUCTION PAG. 87 2. VECTOR
COMPLEMENTARITY PROBLEMS PAG. 89 3. VECTOR IMPLICIT COMPLEMENTARITY
PROBLEMS PAG. 91 4. GENERALIZED VECTOR COMPLEMENTARITY PROBLEMS PAG. 92
5. CONCLUSIONS PAG. 94 REFERENCES PAG. 95 VECTOR VARIATIONAL
INEQUALITIES AND MODELLING OF A CONTINUUM TRAFFIC EQUILIBRIUM PROBLEM
PAG. 97 P. DANIELE AND A. MAUGERI 1. INTRODUCTION PAG. 97 2. A NEW MODEL
OF TRAFFIC EQUILIBRIUM PROBLEM IN THE CONTINUOUS CASE PAG. 99 3. A
GENERAL CONTINUOUS PROBLEM PAG. 104 4. LAGRANGEAN THEORY PAG. 104 5. A
COMPUTATIONAL PROCEDURE PAG. 108 REFERENCES PAG. 109 GENERALIZED VECTOR
VARIATIONA*LIKE INEQUALITIES WITHOUT MONOTONICITY PAG. 113 X.P. DING AND
E. TARAFDAR VLL 1. INTRODUCTION PAG. 113 2. EXISTENCE OF SOLUTIONS PAG.
117 REFERENCES PAG. 123 GENERALIZED VECTOR VARIATIONA*LIKE INEQUALITIES
WITH C X * 77-PSEUDOMONOTONE SET*VALUED MAPPINGS PAG. 125 X.P. DING AND
E. TARAFDAR 1. INTRODUCTION PAG. 126 2. PRELIMINARIES PAG. 126 3.
EXISTENCE THEOREMS PAG. 132 REFERENCES PAG. 139 A VECTOR VARIATIONA*LIKE
INEQUALITY FOR COMPACT ACYCLIC MULTIFUNCTIONS AND ITS APPLICATIONS PAG.
141 J. FU 1. INTRODUCTION PAG. 141 2. PRELIMINARIES PAG. 142 3. VECTOR
VARIATIONAL-LIKE INEQUALITY PAG. 144 4. GVQVI AND GVQCP PAG. 148
REFERENCES PAG. 150 ON THE THEORY OF VECTOR OPTIMIZATION AND VARIATIONAL
INEQUALITIES. IMAGE SPACE ANALYSIS AND SEPARATION PAG. 153 F. GIANNESSI,
G. MASTROENI AND L. PELLEGRINI 1. INTRODUCTION PAG. 153 2. IMAGE SPACE
AND SEPARATION FOR VOP PAG. 154 3. OTHER KINDS OF SEPARATION PAG. 164 4.
SEPARATION IN THE WEAK CASE PAG. 169 5. NECESSARY OPTIMALITY CONDITIONS
PAG. 171 6. SADDLE POINT CONDITIONS PAG. 177 7. DUALITY PAG. 181 8.
SCALARIZATION OF VECTOR OPTIMIZATION PAG. 187 9. IMAGE SPACE AND
SEPARATION FOR VVI PAG. 197 10. SCALARIZATION OF VVI PAG. 202 11. SOME
REMARKS ON PENALIZATION PAG. 208 REFERENCES PAG. 211 VM SCALARIZATION
METHODS FOR VECTOR VARIATIONAL INEQUALITY PAG. 217 C.J. GOH AND X.Q.
YANG 1. INTRODUCTION PAG. 217 2. PRELIMINARY RESULTS PAG. 219 3.
SCALARIZATION PAG. 222 4. AFFINE WVVI. AN ACTIVE-SET METHOD PAG. 226 5.
CONCLUSION PAG. 231 REFERENCES PAG. 231 SUPER EFRCIENCY FOR A VECTOR
EQUILIBRIUM IN LOCALLY CONVEX TOPOLOGICAL VECTOR SPACES PAG. 233 X.H.
GONG, W.T. FU AND W. LIU 1. INTRODUCTION PAG. 233 2. SUPER EFFICIENCY
AND SCALARIZATION PAG. 237 3. CONNECTEDNESS PAG. 243 REFERENCES PAG. 250
THE EXISTENCE OF ESSENTIALLY CONNECTED COMPONENTS OF SOLUTIONS FOR
VARIATIONAL INEQUALITIES PAG . 253 G. ISAC AND G.X.Z. YUAN 1.
INTRODUCTION PAG. 254 2. THE UPPER SEMICONTINUITY OF SOLUTION SET FOR
VARIATIONAL INEQUALITIES PAG. 256 3. THE EXISTENCE OF ESSENTIALLY
CONNECTED COMPONENTS FOR VI WITH SET-VALUED MAPPINGS PAG. 259 REFERENCES
PAG. 264 EXISTENCE OF SOLUTIONS FOR VECTOR SADDLE*POINT PROBLEMS PAG.
267 K.R. KAZMI 1. INTRODUCTION PAG. 267 2. EXISTENCE OF SOLUTIONS PAG.
269 REFERENCES PAG. 274 VECTOR VARIATIONAL INEQUALITY AS A TOOL FOR
STUDYING VECTOR OPTIMIZATION PROBLEMS PAG. 277 IX GM. LEE, D.S. KIM,
B.S. LEE AND N.D. YEN 1. INTRODUCTION PAG. 277 2. VECTOR VARIATIONAL
INEQUALITY PAG. 278 3. VECTOR VARIATIONAL INEQUALITIES AND VECTOR
OPTIMIZATION PROBLEMS PAG. 281 4. STRONGLY MONOTONE VECTOR VARIATIONAL
INEQUALITIES PAG. 286 5. SENSITIVITY OF THE SOLUTION SET OF A PERTURBED
STRONGLY MONOTONE VVI PAG. 293 6. EXAMPLE PAG. 300 REFERENCES PAG. 304
VECTOR VARIATIONAL INEQUALITIES IN A HAUSDORFF TOPOLOGICAL VECTOR SPACE
PAG. 307 GM. LEE AND S. KUM 1. INTRODUCTION PAG. 307 2. PRELIMINARIES
PAG. 308 3. TWO EXISTENCE RESULTS PAG. 310 4. GENERALIZED MINTY VECTOR
VARIATIONAL INEQUALITY PAG. 315 REFERENCES PAG. 318 VECTOR EKELAND
VARIATIONAL PRINCIPLE PAG. 321 S.J. LI, X.Q. YANG AND G.-Y. CHEN 1.
INTRODUCTION PAG. 321 2. VECTOR EKELAND VARIATIONAL PRINCIPLE I PAG. 322
3. VECTOR EKELAND VARIATIONAL PRINCIPLE II PAG. 328 4. CONCLUSIONS PAG.
332 REFERENCES PAG. 332 CONVERGENCE OF APPROXIMATE SOLUTIONS AND VALUES
IN PARAMETRIC VECTOR OPTIMIZATION PAG. 335 P. LORIDAN AND J. MORGAN 1.
INTRODUCTION PAG. 335 2. MINIMAL AND E-MINIMAL SOLUTION PAG. 336 3.
CONVERGENCE OF PARAMETRIC MINIMAL AND APPROXIMATE VALUES PAG. 339 4.
CONVERGENCE OF RESTRICTED E-MINIMAL SOLUTIONS PAG. 345 REFERENCES PAG.
347 X ON MINTY VECTOR VARIATIONAL INEQUALITY PAG. 351 G. MASTROENI 1.
INTRODUCTION PAG. 351 2. GENERALIZED SYSTEMS, VECTOR OPTIMIZATION
PROBLEMS AND VARIATIONAL INEQUALITY PAG. 352 3. THE MINTY VECTOR
VARIATIONAL INEQUALITY PAG. 356 4. A GAP FUNCTION FOR MINTY VECTOR
VARIATIONAL INEQUALITY PAG. 358 REFERENCES PAG. 361 GENERALIZED VECTOR
VARIATIONAL*LIKE INEQUALITIES PAG. 363 L. QUN 1. INTRODUCTION PAG. 363
2. EXISTENCE THEOREMS PAG. 365 REFERENCES PAG. 369 ON VECTOR
COMPLEMENTARITY SYSTEMS AND VECTOR VARIATIONAL INEQUALITIES PAG. 371 T.
RAPCSDK 1. INTRODUCTION PAG. 371 2. A NEW FORMULATION OF VVI AND VCS
PAG. 373 REFERENCES PAG. 379 GENERALIZED VECTOR VARIATIONAL INEQUALITIES
PAG. 381 W. SONG 1. INTRODUCTION PAG. 381 2. PRELIMINARIES PAG. 382 3.
THE GENERAL EXISTENCE RESULTS OF SOLUTIONS FOR GVVI PAG. 387 4.
EXISTENCE RESULTS OF GVVI FOR PSEUDO-MONOTONE MAPPING PAG. 391 5. THE
RELATIONSHIP BETWEEN GVVI AND VOP PAG. 396 6. APPENDIX PAG. 397
REFERENCES PAG. 399 XI VECTOR EQUILIBRIUM PROBLEMS WITH SET*VALUED
MAPPINGS PAG. 403 W. SONG 1. INTRODUCTION PAG. 403 2. GENERALIZED
EQUILIBRIA... PAG. 405 3. APPLICATIONS PAG. 409 REFERENCES PAG. 418 ON
SOME EQUIVALENT CONDITIONS OF VECTOR VARIATIONAL INEQUALITIES PAG. 423
X.Q. YANG 1. INTRODUCTION PAG. 423 2. MULTICRITERIA OPTIMIZATION
PROBLEMS PAG. 424 3. MULTICRITERIA PSEUDOLINEAR PROGRAM PAG. 427 4. GAP
FUNCTIONS PAG. 429 REFERENCES PAG. 431 ON INVERSE VECTOR VARIATIONAL
INEQUALITIES PAG. 433 X.Q. YANG AND G.-Y. CHEN 1. INTRODUCTION AND
PRELIMINARIES PAG. 433 2. INVERSE VVI PAG. 437 3. INVERSE WEAK VVI PAG.
440 4. INVERSE SET-VALUED VVI PAG. 443 REFERENCES PAG. 445 VECTOR
VARIATIONAL INEQUALITIES, VECTOR EQUILIBRIUM FLOW AND VECTOR
OPTIMIZATION PAG. 447 X.Q. YANG AND C-J. GOH 1. INTRODUCTION PAG. 447 2.
VECTOR VARIATIONAL INEQUALITIES AND OPTIMIZATION PROBLEMS PAG. 449 3.
VECTOR AND PARAMETRIC EQUILIBRIUM PRINCIPLES PAG. 452 4. VECTOR
EQUILIBRIUM AND OPTIMIZATION PROBLEMS PAG. 458 5. VECTOR EQUILIBRIUM AND
VARIATIONAL INEQUALITY PAG. 461 REFERENCES PAG. 463 XLL ON MONOTONE AND
STRONGLY MONOTONE VECTOR VARIATIONAL INEQUALITIES PAG. 467 N.D. YEN AND
GM. LEE 1. INTRODUCTION PAG. 467 2. PRELIMINARIES PAG. 468 3. A
SUFFICIENT CONDITIONS FOR THE TWO SOLUTION SETS OF VVI TO COINCIDE PAG.
470 4. PATH-CONNECTEDNESS AND CONNECTEDNESS OF THE SOLUTION SETS PAG.
473 REFERENCES PAG. 477 CONNECTEDNESS AND STABILITY OF THE SOLUTION SETS
IN LINEAR FRACTIONAL VECTOROPTIMIZATION PROBLEMS, PAG. 479 N.D. YEN AND
T.D. PHUONG 1. INTRODUCTION PAG. 479 2. LINEAR FRACTIONAL VECTOR
OPTIMIZATION PROBLEM PAG. 480 3. AFFINE VARIATIONAL INEQUALITY PAG. 482
4. A PROPERTY OF SEMICONTINUOUS SET-VALUED MAPS PAG. 484 5.
CONNECTEDNESS OF THE SOLUTION SETS IN LFVO PROBLEMS PAG. 485 6. SOLUTION
STABILITY IN A LFVOP PAG. 486 REFERENCES PAG. 488 VECTOR VARIATIONAL
INEQUALITY AND INAPLICIT VECTOR COMPLEMENTARITY PROBLEMS PAG. 491 H. YIN
AND C. XU 1. INTRODUCTION PAG. 491 2. PRELIMINARIES PAG. 493 3.
EXISTENCE OF SOLUTIONS FOR THE GVVI PAG. 497 4. IMPLICIT VECTOR
COMPLEMENTARITY PROBLEMS PAG. 501 REFERENCES PAG. 504 REFERENCES ON
VECTOR VARIATIONAL INEQUALITIES PAG. 507 SUBJECT INDEX PAG. 513
CONTRIBUTORS PAG. 519
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| id | DE-604.BV023825538 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T21:37:30Z |
| institution | BVB |
| isbn | 0792360265 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017467729 |
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| physical | XIII, 523 S. |
| publishDate | 2000 |
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| publisher | Kluwer Acad. Publ. |
| record_format | marc |
| series | Nonconvex optimization and its applications |
| series2 | Nonconvex optimization and its applications |
| spelling | Vector variational inequalities and vector equilibria mathematical theories ed. by Franco Giannessi Dordrecht [u.a.] Kluwer Acad. Publ. 2000 XIII, 523 S. txt rdacontent n rdamedia nc rdacarrier Nonconvex optimization and its applications 38 Linear topological spaces Mathematical optimization Variational inequalities (Mathematics) Vector spaces Variationsungleichung (DE-588)4187420-1 gnd rswk-swf Mehrkriterielle Optimierung (DE-588)4610682-0 gnd rswk-swf Topologischer Vektorraum (DE-588)4122383-4 gnd rswk-swf Variationsungleichung (DE-588)4187420-1 s Mehrkriterielle Optimierung (DE-588)4610682-0 s Topologischer Vektorraum (DE-588)4122383-4 s DE-604 Giannessi, Franco edt Nonconvex optimization and its applications 38 (DE-604)BV010085908 38 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017467729&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Vector variational inequalities and vector equilibria mathematical theories Nonconvex optimization and its applications Linear topological spaces Mathematical optimization Variational inequalities (Mathematics) Vector spaces Variationsungleichung (DE-588)4187420-1 gnd Mehrkriterielle Optimierung (DE-588)4610682-0 gnd Topologischer Vektorraum (DE-588)4122383-4 gnd |
| subject_GND | (DE-588)4187420-1 (DE-588)4610682-0 (DE-588)4122383-4 |
| title | Vector variational inequalities and vector equilibria mathematical theories |
| title_auth | Vector variational inequalities and vector equilibria mathematical theories |
| title_exact_search | Vector variational inequalities and vector equilibria mathematical theories |
| title_full | Vector variational inequalities and vector equilibria mathematical theories ed. by Franco Giannessi |
| title_fullStr | Vector variational inequalities and vector equilibria mathematical theories ed. by Franco Giannessi |
| title_full_unstemmed | Vector variational inequalities and vector equilibria mathematical theories ed. by Franco Giannessi |
| title_short | Vector variational inequalities and vector equilibria |
| title_sort | vector variational inequalities and vector equilibria mathematical theories |
| title_sub | mathematical theories |
| topic | Linear topological spaces Mathematical optimization Variational inequalities (Mathematics) Vector spaces Variationsungleichung (DE-588)4187420-1 gnd Mehrkriterielle Optimierung (DE-588)4610682-0 gnd Topologischer Vektorraum (DE-588)4122383-4 gnd |
| topic_facet | Linear topological spaces Mathematical optimization Variational inequalities (Mathematics) Vector spaces Variationsungleichung Mehrkriterielle Optimierung Topologischer Vektorraum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017467729&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV010085908 |
| work_keys_str_mv | AT giannessifranco vectorvariationalinequalitiesandvectorequilibriamathematicaltheories |