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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
$(n, \varepsilon)$-spanning set      490
$(T. k)$-simple covering      554
$(T. k)$-simple set      554
$(\chi - n)$-cohomology system      509 515
$(\varepsilon; r)$-isolating nbd      272
$(\varepsilon; r)$-isolating nbd, system      273
$acute{O}$iri$\acute{c}$, L.B.      20
$c$-map      368
$c$-structure      368
$d$ - Cauchy sequence      594
$E^{+}$ -finitely homotopic fields      563
$E^{+}$-cohomology      560
$E^{+}$-compact field      560
$E^{+}$-compact homotopy      560
$E^{+}$-compactly homotopic fields      560
$E^{+}$-finite field      502
$F$-equivalent fixed points      487
$h$-category      492
$h$-dominated set      360
$h$-equivalent objects      492
$h$-equivalent sets      360
$h$-function      406
$h$-functor      492
$h$-invertible morphism      492
$h$-subcategorv      492
$J$-deformation      407
$k$-set contraction      336
$L$-essential map      136
$L$-homotopic maps      136
$L^{p}$ - Carath$\acute{e}$odory function      115 183
$L^{p}$ - Carath$\acute{e}$odory solution      183 184
$m$-special ANR      297
$n$-acyclic functor-chain      404
$n$-boundary      612
$n$-chain      612
$n$-cycle      215 612
$n$-dimensional vector space      600
$n$-locally connected space      301 436
$n$-simplex      214
$n$-skeleton      475
$p$-saturated set      293
$q$-critical level      407
$q$-skeleton      250
$q$-type number      407
$r$-domination      280
$R$-homotopy      367
$R$-map      367
$r$-skeleton      198
$R_{\delta}$-map      550
$S$-Space      137
$T$-admissible homotopy      553
$T$-admissible map      553
$T$-equivariant degree      557
$T$-invariant set      553
$t$-slice      318 339
$\alpha$-close maps      134 282 467
$\alpha$-contractive family      33
$\alpha$-contractive family, map      12
$\alpha$-contractive family, set-valued ma      28
$\alpha$-dominated space      134 468
$\alpha$-field      494
$\alpha$-fixed point      134 467
$\alpha$-homotopic $\alpha$-fields      494
$\alpha$-homotopic $\alpha$-fields, maps      282 467
$\check{C}$ech cohomology      495
$\check{C}$ech homology      411
$\check{C}$ech, E.      222
$\ddot{U}$stiinel, A.      586
$\delta$-based $\varepsilon$-map      129
$\delta$-orbit      22
$\lambda$-slice      351
$\mathbb{B}$-map      176
$\mathbb{F}$-familv      177
$\mathbb{F}$-map      142
$\mathbb{F}^{*}$-map      142
$\mathbb{K}$-map      166
$\mathcal{B}$-map      566
$\mathcal{ES}$(compact)-map      180
$\mathcal{G}$-invariant set      44
$\mathcal{NB}$-map      567
$\mathcal{NES}$(compact metric)-map      465
$\mathcal{NES}$(compact)-map      486
$\mathcal{NES}$(eompact metric) space      540
$\mathfrak{F}^{*}$-homotopy      488
$\mathfrak{F}^{*}$-map      488
$\mathfrak{F}{$-invariant set      172
$\phi$-map      176
$\varepsilon$-approximation      309
$\varepsilon$-chainable space      19
$\varepsilon$-coincidence point      537
$\varepsilon$-displacement      102
$\varepsilon$-fixed point      119
$\varepsilon$-map      102 129 540
$\varepsilon$-map, in the narrow sense      129
$\varepsilon$-net      595
$\varepsilon$-normal map      556
a priori bounds      346
Abbondandolo, A.      523 573 575 584
Abelian group      608
Absolute neighborhood retract      279 304
Absolute retract      8 162 194 280 304
Absorbing set      426 601
Abstract complex      203 477
Acyclic decomposition      548
Acyclic decomposition, map      545
Acyclic decomposition, model theorem      404
Acyclic decomposition, set      35
Acyclic decomposition, set-valued map      542
Acyclic decomposition, space      421 531
Adams, F.      246
Additivity      270 308 335 357 361 363 414 463 521
Adjoint functor      402
Admissible class      80 361 463
Admissible class, endomorphism      416
Admissible class, homotopy      5 291 552
Admissible class, Lefschetz space      572
Admissible class, map      552
Admissible class, space      141 470
Admissibly homotopic maps      120 291
Affine map      250
Affinely independent points      85
Alexander Kolmogoroff cohomology      412
Alexander Pontrjagin duality      509
Alexander Pontrjagin duality, invariance      513
Alexander Spanier cohomology      412
Alexander, J.C.      335
Alexander, J.W.      107 109 221 222
Alexandroff theorem      204
Alexandroff, P.      101 105 107 193 221 222 246 256 333 458 461 530
Alexiewicz, A.      84
Algebraic multiplicity      327 606
Allgower, E.      108
Allowable extension      271
Allowable extension, map      339 367
Allowable extension, pair      485
Allowable extension, set      553
Almost periodic      48
Alon, N.      192
Alspach, D.      78
Altman      35 124 135 138 141
Amann, H.      18 35 275
Ambrosetti, A.      84
Amenable group      50
ANR      279 304
ANR, for normal spaces      357
ANR, of type ($W$)      578
Anselone, P.      185
Antipodal map      87
Antipodal map, points      87
Antipodal map, theorem      14 93 99 104 106 135 191 269 321 352 358 525
Antipodal map, theorem for coincidences      136
Antipode-collapsing map      236
Antipode-preserving ma      93 236
Approximate $\mathcal{ES}$(compact)-map      186
Approximate $\mathcal{ES}$(compact)-map, $\mathcal{NES}$(compact metric)-map      466
Approximate $\mathcal{ES}$(compact)-map, $\mathcal{NES}$(compact)-map      487
Approximate $\mathcal{ES}$(compact)-map, extensor space      186
Approximate $\mathcal{ES}$(compact)-map, neighborhood extensor space      472
Approximating family      468
Approximating family, sequence      100 185 500 563
Approximating family, system      501 563
Approximation theorem      135 354
ar      8 162 194 280 304
Arason, J.K.      105
Arbitrarily small tails      32
Arens - Eells theorem      597
Arens theorem      194
Arino, O.      137
Arnold, V.I.      579
Aronsajn- Borsuk theorem      284
Aronszajn, N.      161 193 300 304
Arzel$\grave{a}$ - Ascoli theorem      607
Asakawa, H.      48
Asplund, E.      196
Associated Galerkin equation      158
Associated Galerkin equation, map and field      127 242
Asymptotic derivative      132
Asymptotically compact map      427
Asymptotically linear map      132
Asymptotically regular map      570
Atiyah      581 582
Attaching $X$ to $Y$ by $f$      294
Attracting set      426
Attractive fixed point      455
Attractor      22 77 426
Aubin, J.P.      196
Augmented functor-chain      404
B$\acute{a}$r$\acute{a}$ny, I.      192
Baclawski, K.      35
Bacon, P.      248
Bailey, D.F.      20
Baillon, J. - B.      81
Baire theorem      595
Baker's transformation      78
Balanced set      601
Balanov, Z.      573
Banach - Mazur limit      50
Banach Alaoglu theorem      605
Banach Contraction Principle      10
Banach contraction principle, space      603
Banach contraction principle, theorem      603
Banach contraction principle, theorem, parametrized version      18
Banach, S.      23 70 83 84 192
Banach- Steinhaus theorem      604
Barycenter      200
Barycentric coordinate      86
Barycentric coordinate system      477
Barycentric refinement      597
Barycentric subdivision      200
Base of neighborhoods      591
Base of topology      590
Basic class      425
Basic class, $(n - l)$-cycle      208
Basic class, map      425
Basic class, triangulation      87
Basis of of free group      610
Basis of vector space      600
Beals, R.      77
Beauzamy, B.      193
Begle, E.G.      547
Ben - El - Mechaiekh, H.      176 177
Benci, V.      460
Berge, C.      48
Berger      84 275
Berline, N.      582
Bernstein theorem      158
Bernstein, S.      82 192 365
Bers, L.      272
Berstein, I.      245 439
Bessaga, C.      24 82 83 108 194
Bethuel, F.      585
Betti number      222 373 376 405 565
Betti. E.      221
Bicontinuous map      591
Bielawski, R.      550
Bielecki, A.      2
Bifurcation index      340
Bifurcation point      273 338 339
Bijective map      589
Bing, R.H.      111
Birkhoff - Kellogg theorem      126 139 194
Birkhoff, G.D.      82 107 109 137 139 578
Bishop, E.      35 36
Bishop- Phelps theorem      27 32 35 36
Bj$\ddot{o}$rner, A.      35
Blackwell, D.      22
BMO      583
Bogoliouboff, N.      48
Bohl, E.      35 95 106 242
Bohnenblust, H.F.      195 196
Bonsall, F.F.      21
Border, K.      196
Borisovich, Yu.G.      337 366 368 548
Borsuk - Dugundji theorem      569
Borsuk - Ulam theorem      93 106
Borsuk - Ulam theorem, generalized      243 358 546
Borsuk extension theorem      287
Borsuk fibration theorem      296
Borsuk fixed point theorem      94 119
Borsuk homology embedding theorem      567
Borsuk metric      103
Borsuk presentation      566
Borsuk theorem, see antipodal theorem Borsuk theorem, generalized      545
Borsuk trace lemma      568
Borsuk, K.      95 100 102 104 105 107-109 111 119 132 138 140 191 194 237 246 295 296 300-302 304 489 524 525 576
Bothe embedding theorem      301 437
Bothe, H.G.      437
Bott, R.      362 461 581 582
Boundary map      612
Boundary of set      590
Boundary of simplex      86
Boundary operator      205 373
Boundary point      590
Boundary value problem      115 345 346
Bounded map      112
Bounded mean oscillation      582
Bounded set      594 601
Bounding cycle      215 219
Bourbaki, N.      84
Bourgin, D.G.      245 247 366 439 462
Bowszyc theorem      230 432 451
Bowszyc, C.      103 245 360 436-437 439 458-460 486 576
Br$\acute{e}$zis H.      35 82 84 583 584 586
Br${\o}$ndsted, A.      33 35 36
Brahana, T.R.      550
Bredon, G.      109 440
Brodskii, M.S.      77 81
Brouwer degree      234 246 363
Brouwer theorem      95 106 108 137 138 140 186
Brouwer theorem, generalized      545
Brouwer, L.E.J.      106 140 221 222 246 275 276
Browder - Caccioppoli theorem      361
Browder - G$\ddot{o}$hde - Kirk theorem      52 67
Browder map      176
Browder, F.R.      19 24 35 48 76 79 81 82 84 176 191 333 361 366 367 425 430 439 459 462
Brown, A.L.      192
Brown, R.F.      111 245 333 364 458 488 578
Bruhat - Tits theorem      50 80
Bruhatn F.      50 81
Bundle      614
1 2 3 4 5 6
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