Anderson G.A., Granas A. — Fixed Point Theory :: Электронная библиотека попечительского совета мехмата МГУ

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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:

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

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Предметный указатель

Jaworowski, J.      221 246-248 439 489 545 547 548
Jerome, J.W.      35
Jiang subgroup      577
Jiang, B.J.      577 578
Join      292
Joshi, K.D.      107 221
K $\ddot{u}$ nneth formula      397
Kachurovski $\breve{i}$ , R.I.      82
Kaczynski      131 138 191
Kahiuowitz theorem      271
Kakutani field      366
Kakutani map      166 195
Kakutani theorem      45 49 174
Kakutani, S.      49 84 103 106 108 195 196
Kantorovitch, L.      34
Karamardian, S.      76
Karlin, S.      195 196
Kelley, J.L.      245 412 440
Kellogg, O.D.      82 107 109 137 139
Kernel      600 609
Kernel, generalized      327
Khamsi, M.A.      191
Kiang      578
Kinderlehrer, E.      84
Kinoshita, S.      110
Kirk, W.A.      76 77 81 108
KKM-map      37 96
Klee theorem      63
Klee, V.L.      48 82 103 108 137 139 141 195 303
Knaster - Tarski theorem      25 35
Knaster Kuratowski - Mazurkiewicz map      37
Knaster Kuratowski - Mazurkiewicz theorem      98 101
Knaster, B.      23 34 48 101 107
Kneser - Fan theorem      47
Kneser conjecture      192
Kneser H.      47 49
Knill, R.      110
Kolmogoroff, A.N.      81
Komiya, K.      573
Kotake      582
Krasnosel'ski $\breve{i}$ theorem      273 325 330
Krasnosel'ski $\breve{i}$ , M.A.      24 35 64 105 132 133 137 139 140 192 245 247 248 273 275 330 364- 367 452 460
Krasnoserski $\breve{i}$ - Rabinowitz theorem      344
Krawcewicz, W.      138 337 366 573
Krein - Krasnosel'ski $\breve{i}$ - Milman theorem      153
Krein - Milman theorem      172 603
Krein - Rutman theorem      190
Krein, M.G.      105 190 192 193
Krein- $\check{S}$ mulian theorem      604
Kronecker characteristic      357
Kronecker, L.      246 274
Kryloff, N.      48
Kryloff- BogolioubofF theorem      50
Kryszewski, W.      549 550 575
Kucharski, Z.      459 550
Kuperberg, K.      111
Kuratowski - Mazurkiewicz separation theorem      319
Kuratowski - Steinhaus theorem      152
Kuratowski - Zorn lemma      590
Kuratowski Dugundji theorem      436
Kuratowski lemma      483
Kuratowski measure of noncompactness      133 335
Kuratowski theorem      283 597
Kuratowski, K.      22 23 48 100 101 107 133 191 205 221 222 301 302 304 329 335 436
Kushkuley, A.      573
La Salle, F.      438
Ladyzhenskaya, O.A.      365
LadyzhenskiT, L.A.      139
Lam, T.Y.      192
Lang, S.      50
Laplace operator      115
Lasota, A.      140 195 196 337 366
Lasry, J. - M.      196
Lassonde      48 84 102 104 178 189- 191 300 301
Lavrentiev      523
Lax - Milgram - Vishik theorem      66
Lax, P.D.      107
Lazer, A.C.      271
Lebesgue lemma      90
Lebesgue number      90
Lebesgue theorem      90
Lebesgue, H.      90 101
Lee, J.      24 136 138 181 182 184 192 193
Lefschetz - Hopf fixed point index      178
Lefschetz - Hopf fixed point theorem      228
Lefschetz - Hopf theorem      243 245
Lefschetz formula      460
Lefschetz fraction      537
Lefschetz map      421 484 542 549
Lefschetz number      227 531 542 548 549
Lefschetz number, generalized      418 421 537
Lefschetz pair      486
Lefschetz power series      435
Lefschetz space      422 474
Lefschetz Theorem      573
Lefschetz zeta function      440
Lefschetz, S.      222 245 301 304 425 438 461
Left adjoint functor      402
Left homotopy inverse      360
Left inverse      610 617
Left translate      48
Left-amenable grou      48
Left-invariant mean      48
Length of manifold      524
Leray - Alexandroff invariance theorem      513
Leray - Schauder alternative      4 124 541
Leray - Schauder category      491
Leray - Schauder continuation principle      320
Leray - Schauder degree      349 366
Leray - Schauder fixed point index      311
Leray - Schauder formula      328
Leray - Schauder index      355 356
Leray - Schauder principle      6 123 135 300
Leray - Schauder principle, generalized      189 292
Leray - Schauder space      299
Leray - Schauder theorem      348
Leray composition theorem      271
Leray endomorphism      418
Leray functor      438
Leray theorem, generalized      360
Leray trace      416
Leray, J.      108 135 137-141 271 274 334 365-367 437 439 459 461 462 523
Lifting      581
Limit, generalized      47 50
Lin, P.K.      108
Line segment      599
Linear functional      600
Linear operator      600
Linear span      600
Linear subspace      599
Linear topological space      601
Linear variety      600
Linearly independent vectors      600
Liouville, J.      23
Lipschitz constant      9
Lipschitzian map      9 108
Listing, J.B.      221
Littlewood, J.E.      111
Liu, F.C.      84 180 191
Liu, G.      581
Lloyd, N.      275 366
Local bifurcation theorem      340
Local index      253 270 326 463
Locally compact map      427
Locally compact space      593
Locally convex space      141 602
Locally equiconnected space      302
Locally finite polyhedron      475
Lokutsievskii, O.K.      102
Lomonosov theorem      160

Lomonosov, V.I.      193
Lopez, W.      109 111 440
Lov $\acute{a}$ sz, L.      192
Lower bound      25
Lower cemicontinuous function      27 591
Lower semicontinuous sot-valued map      599
lu      9 132 137-140 183 191 222 274 364 367 461 523 608
Lusternik - Schnirelmann - Borsuk theorem      91 93
Lusternik - Schnirelmann category      105 524
Lusternik, L.      36 104 106 248 523 524 530
Ma, T.W.      179 196 337 366
MacLane, S.      380
Mal $\acute{y}$ , J.      585
MAP      1
Map of triads      495
Marcinkiewicz - Sobolev space      585
Marde $\check{s}$ i $\acute{c}$ , S.      304
Markoff - Kakutani theorem      43 49 84
Markoff, A.A.      49
Martelli      138
Martin, G.I.      584
Mas - Colell, A.      191
Massabo, I.      272 573
Matching property      104
Matkowski, J.      24
Maunder, C.R.F.      221
Mawhin, J.      193 248 367
Maximal element      589
Maximal monotone set-valued operator      68 79 84
Mayer - Vietoris cohomology sequence      196
Mayer - Vietoris homomorphism      408 496 561
Mayer - Vietoris theorem      389
Mazur - Schauder theorem      78
Mazur theorem      174 603
Mazur, S.      47 50 78 83 84 135 137
Mazur- Orlicz theorem      49 72 84
Mazur- $\check{S}$ mulian theorem      605
Mazurkiewicz, S.      23 48 101 107 304 335
McDuff, D.      579
Mean      47 583
Mean value theorem      604
mesh      101 198
Metric      594
Metric interval      33
Metric space      594
Metrically convex space      33
Metrizable space      594
Meyers, P.R.      24
Michael theorem      484 599
Michael, E.A.      195 304 484
Michael, J.H.      360 489
Milman, D.P.      77 81 192
Milnor, J.      107 187 275 364 574
Minimal closed $\mathfrak{F}$ -invariant subset      172
Minimax inequalities      144
Minimizer      30
Minimizing sequence      30
Minkowski functional      602
Minty Browder theorem      67
Minty, G.J.      70 76 82 84
Miranda theorem      79 100
Miranda, C.      80 82 100
Misiurewicz Przytycki theorem      490
Mod theorem      231 460
Mod 2 cuplength      580
Mod 2 degree      368
Model object      379
Moments problem      73 84
Monic homomorphism      609
Monic operator      601
Monomorphism      601 609
Monotone map      61 66 75 78 82
Monotone set-valued operator      68 79
Montgomery, D.      459 548
Morphism      370 616
Morse equality      461
Morse function      460
Morse functional      574
Morse index      574
Morse inequalities      407
Morse polynomial      460
Mrozek      438
Mukherjea, J.      523
Multiplicativity      308 364
Multiplicity of fixed point      441
Myshkis, A.D.      246
Nadler theorem      28
Nadler, S.B.      18 35 36
Nagumo      137 274 366
Nakaoka      459
Namioka, I.      196 523
Nash equilibrium      150
Nash equilibrium theorem      151 191
Nash theorem, generalized      178
Nash, J.      191
Natural chain map      379
Natural equivalence      371 619
Natural transformation      371 619
NBD      591
Negative simplex      88
Negligible set      62
Neighborhood      591
Neighborhood extensor space      303 465 471 483
Neighborhood finite covering      595
Nerve      204 221 479
Net      593
Neutral simplex      88
Nielsen number      488 577
Nielsen, J.      222
Niemytzki operator      114
Niemytzki, V.      82
Nikaid $\hat{o}$ , H.      49
Nikodym theorem      75
Nikolaenko      222
Nilpotent endomorphism      414
Nirenberg, L.      105 182 275 363- 365 527 583 584
Noguchi, H.      304 489
Noncontracting family      172
Nondegenerate critical point      460
Nonexpansive map      9 51 75
Nonlinear alternative      4 14 34 54 74 123 133 135 138 169 177
Nonlinear nonlinear alternative for coincidences      136
Nonlinear Poisson equation      345
Nontrivial solution      339
Nontrivial subspace      160
Norm      602
Normal extension      443
Normal fixed point      442
Normal homotopy      556
Normal map      556
Normal simplex      443
Normal space      591
Normal structure      77
Normalization axiom      247 270 308 357 361 521
Normed linear space      602
Nowak, B.      108
Nullhomotopic map      92
Numerical-valued index      247
Nussbaum theorem      325
Nussbaum, R.D.      100 298 337 364 366 367 439 460 489 490
O'Neill, B.      13 459 462
O'Regan, D.      24 193
Object      370 616
Odd map      136 268 352
Olech, C.      195
Ombach, J.      23
Onninen, J.      585
Ono, K.      581
Open covering      593
Open embedding      591

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