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Anderson G.A., Granas A. — Fixed Point Theory
Anderson G.A., Granas A. — Fixed Point Theory



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Название: Fixed Point Theory

Авторы: Anderson G.A., Granas A.

Аннотация:

This monograph gives a carefully worked-out account of the most basic principles and applications of the theory of fixed points. Until now, a treatment of many of the discussed topics has been unavailable in book form. The presentation is self-contained and is accessible to a broad spectrum of readers. The main text is complemented by numerous exercises, detailed comments, and a comprehensive bibliography.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2003

Количество страниц: 116

Добавлена в каталог: 03.12.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Excisive family      450
Excisive pair      384
Existence axiom      270 308 361
Expanding map      18 32
Expanding set-valued ma      32
Exponent of characteristic value      606
Extendable ma      7 92
Extension object      529
Extension of ma      589
Extension of orientation      514
Extensor space      185 303
Extreme point      603
F esz      607
F-concave family      42
F. Hahn theorem      173
F. Riesz theorem      606
F.C. Liu minimax inequality      145
Face      86 373
Factorization      6
Fadell, E.      111 245 247 440
Fan Browder theorem      143
Fan coincidence theorem      143
Fan family      177
Fan intersection theorem      150
Fan Iokhvidov theorem      189
Fan ma      142
Fan matching theorem      177
Fan minimax inequality      145
Fan Theorem      146
Fan, K.      47 48 49 104 139 141 177 189 193 195 196 244
Fenske, C.C.      275 460 576
Fet, A.I.      248
Fiber      37 580 598
Fiber product      534
Fiber space      586
Fibration      296
Field associated with map      11
Fiihrer, L.      275
Finite covering      593
Finite intersection property      39 593
Finite type pair      406
Finite type vector space      418
Finite-codimensional cohomology      491 505
Finite-dimensional map      112
Finite-dimensional set-valued map      166
Finitely closed set      39
Five-lemma (-lemma)      610
Fixed point      1
Fixed point class      487 577
Fixed point fiat      600
Fixed point for family      44 171
Fixed point for semiflow      234 457
Fixed point free homotopy      120
Fixed point index      305 308 317
Fixed point of set-valued map      37 598
Fixed point property      108
Fixed point space      2 102 108
Floer, A.      580
Florenzano      196
Flores, A.      192
Floyd, E.E.      246 247 582
Fonseca. I.      586
Forced oscillation      580
Forgetful functor      403 618
Fort, M.K.      329 550
Fournier, G.      137 430 439 459 460 489 573
FRACTION      533
Frankl, FM      222
Franks, J.      440 461 578 579
Fredholm alternative      130 135
Fredholm index      605
Fredholm map      367 605
Free Abelian group      610 611
Free group functor      403
Free presentation      611
Freudenthal, H.      222 277
Frigon      24 34 36 81 184 196
Froloff, S.      524
Frum - Ketkov and Nussbaum theorem      100
Frum - Ketkov, R.L.      100
Fuchssteiner, B.      35
Fukaya, K.      581
Full subcategory      493
Fuller, F.B.      245 433
Functor-chain      403
Fundamental theorem of algebra      243
Furi      138
G$\acute{o}$rniewicz, L.      547 550
G$\ddot{o}$hde, D.      76 77 81 194 439
G$\k{e}$ba, K.      138 139 272 274 275 337 368 523 526 528 573 575
G-hereditary property      484
Gale - Debreu theorem, generalized      180
Gale, D.      191
Game theory      192
Gangbo, W.      586
Gauss, G.F.      221
Gauthier, G.      186 304 487 489 576
Gautier, S.      137
Gel'man, B.D.      523
General homotopy invariance      363
General homotopy invariance theorem      318
Generalized degree      527
Generalized homotopy invariance theorem      351
Generalized image      438
Generalized kernel      327
Generalized Lefschetz number      418 421 537
Generalized limit      47 50
Generated by metric, topology      594
Generic map      252 552
Genus      247 248
Geometric KKM-principle      40 48
Geometric KKM-theory      48
Georg, K.      108
Geraghty, M.A.      248
Getzler. E.      246 248 582 586
Gilbarg, D.      82 365
Girolo, J.      138
Glicksberg, I.L.      195
Goebel, K.      81 108
Graded abelian group      612
Graded cohomology group      613
Graded homology group      613
Graded singular homology grou      374
Granas, A., passim Greco, L.      585
Graph of set-valued ma      37 598
Grassmannian      558
Greenleaf, F.P.      50
Griffel, D.H.      82 365
Groger, K.      187
Group of $n$-boundarios      206
Group of $n$-cycles      206 375
Group of $n$-dimensional chains      205
Group of bounding $n$-cycles      376
Group of coefficients      386 410 528
Group of singular $n$-boundaries      373
Group of singular $n$-cvcles      373
Guennoun, Z.      81
Guenther, R.B.      136 138 181 182 184 192 193
Gwinner, J.      191
H$\acute{a}$jek, O.      245
H$\ddot{o}$lder continuous function      607
H$\ddot{o}$lder norm      345
H$\ddot{o}$lder space      345 607
Haar measure      50
Had$\check{z}$i$\acute{c}$, O.      141
Hadamard, J.      83 106 246 277
Hahn - Banach principle      602
Hahn - Banach theorem      73 84 602
Hahn, F.      196
Hahn, S.      141
Haj${\l}$asz, P.      585
Hale, J.      134 364 438
Halkin, H.      193
Halpern, B.      245 440
Hamiltonian map      579
Hammerstein operator      114
Hanner      0 300 302 304 484
Hanner - Dugundji domination theorem      301
Hanner theorem      286 484
Hansel, G.      196
Hansen      108
Hardy - Littlewood - P$\acute{o}$lya theorem      49
Hartman Stampacchia theorem      49 67 75
Hartman theorem      80
Hartman, P.      79 80 84 182
Hausdorff metric      28
Hausdorff space      591
Hausdorff theorem      595
Heegard, P.      222
Heinz, E.      274
Hemicontinuous map      67 78
hessian      460
Hewitt, E.      50
Hibert cube      4 7 109
Hibert space      606
Hilton, P.      412
Himmelbcrg, C.J.      190 195
Himmelberg theorem      190
Hirsch      107 221
Hirsch, G.      237 246 248
Hirzebruch, F.      458
Hofer, H.      579 580
Holm, P.      247
Holszty$\acute{n}$ski, W.      102 108 109 193
Homeomorphic spaces      591
Homeomorphism      591
Homological degree      400
Homologically trivial ma      421
Homologous chains      219
Homologous cycles      206 373
Homology class      206 373
Homology functor      613
Homology group      206 215 376 403 613
Homology of finite type      565
Homology sequence of pair      216 376
Homology sequence of triple      217 377
Homology theory      386
Homomorphism      609 612
Homotopic fields      128
Homotopic in $\mathcal{A}(\bar{U})$. maps      552
Homotopic in $\mathcal{EA}(\bar{U})$., maps      553
Homotopic in $\mathcal{NEA}(\bar{U})$., maps      556
Homotopic maps      92 367
Homotopically nontrivial map      299
Homotopy      5 92
Homotopy axiom      270 308 335 358 361 410 463 491 495 521
Homotopy class      92
Homotopy equivalent objects      492
Homotopy equivalent pairs      387
Homotopy extension lemma      554
Homotopy extension property for compact maps      300
Homotopy in $h$-category      492
Homotopy in VMO      583
Homotopy invariance      405
Homotopy invariant functor      492
Homotopy invertible morphism      492
Hopf - Lefschetz theorem      35
Hopf Hurewicz map      528
Hopf index theorem      458
Hopf Rothe theorem      358
Hopf theorem      241
Hopf, H.      193 222 245 246 248 256 276 333 458 461
Horstmann, W.G.      550
Horvath, C.D.      35 191 300 301 194 304
Hukuhara      135 337 366
Hurewicz - Dugundji - Dowker theorem      412
Hurewicz, W.      44 49 100 107 412 439 462
Hurwitz, A.      246
Husseini, S.Y.      109 247
Hutchinson, J.E.      22
Hyperbolic isomorphism      22
Identification      293
Identification ma      293
Identification topology      292
Identity ma      589
IF-system      22
Image of homomorphism      609
Image of map      589
Image of operator      600
Image of set-valued map      37 598
Image, generalized      438
Implicit function theorem      13 79
inclusion      589
Indecomposable element      391
Index for $R_{\delta}$-maps of compact ANRs      550
Index for $Z$-acyclic maps of ENRs      550
Index of critical point      460
Index of fixed point class      577
Index of Fred holm map      367
Index pair      575
Induced homomorphism      209 372 504 545
Inductive topology      592
Inessential field      128 358 522
Inessentialfixed point class      577
Inessentialmap      5 103 121
Infinite polyhedron      475
Injective map      589
Inner product      606
Integrably bounded function      183
Interior      590
Intersection of set-valued maps      598
Intersection property      65 78
Intersection theorem      132 176
Invariance of dimension      99 275
Invariance of domain      11 82 135 140 275 547
Invariance of domain, generalized      360
Invariant direction      125 322
Invariant dmean      47 50
Invariant dmeasure      48
Invariant dset      426
Invariant dsubspace      160
Invariant dsubspace problem      193
Inverse acyclic map      531
Inverse function theorem      59
Inverse limit group      615
Inverse of morphism      370 617
Inverse of set-valued map      37 598
Inverse system of groups      615
Involution      553
Inward directed vector      460
Inward in the sense of Fan, map      170
Inward map      149
Ioffe, A.      36
Iokhvidov, I.S.      189 191
Isnard, C.      368
Isometric embedding      594
Isometric spaces      594
Isometry      594
Isomorphic groups      609
Isomorphism      601 609
Isomorphism in category      370 617
Isotone map      25
Iterate      10
Iterated function system      22
Iwaniec      584 585
Ize, J.      274 364 573
Izydorek      575
Jachymski, J.      22
James, R.C.      36 587
Jankowski, A.      132 139 549
1 2 3 4 5 6
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