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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
Burckel, R.B.      196 243
Caccioppoli, R.      82 83
Caines, R      367
Calculus of fractions      533
Calvert, B.D.      547
Cameron - Martin space      586
Canonical embedding      605
Canonical volume form      579
Cantor order-theoretic theorem      35
Cantor space      32
Cantor theorem      595
Carath$\acute{e}$odory, C.      84
Caristi theorem      27
Caristi, J.      35
Carrier      101 198
Cartan theorem      490
Cartan, H.      82 490
Cartwright, M.L.      111
Castro, A.      271
Category      296 370 616
Category of direct systems      402
Category of endomorphisms      415
Category of fractions      533
Category of monomorphisms      415
Cauchy problem      180 183 184
Cauchy, A.      221
Cauty, R.      141 195 303 489
Cell-like continuum      109
Cellina, A.      195 337 366
Cellular set-valued map      550
Centrally symmetric set      208
Cesari, L.      193
Chain      25 590
Chain approximation method      159
Chain complex      200 012
Chain homotopic maps      210 40 1 613
Chain homotopy      210 613
Chain map      208 612
Chain transformation      208
Chang, K.C.      196
Characteristic of vector field      242
Characteristic polynomial      223
Characteristic rational function      436
Characteristic value      322 600
Chow, S.N.      134 140 364
Circled set      601
Clapp, M.H.      304 489
Clarke, F.      33
Class $C^{1}$      604
Closed embedding      591
Closed set      590
Closure      590
Coboundary homomorphism      564
Coboundary operator      613
Cochain complex      613
Cochain map      613
Codifferential      613
Codimension      529 530 600
Coefficient group      492
Coercive bilinear form      66
Coercive map      66 67
Cofiber      37 598
Cofibered pair      288
Cofinal subset      589 615
Cofunctor      371
Cohn - Vossen, S.      222
Cohomological codimension      529
Cohomology functor      613
Cohomology group      411
Cohomology sequence of triple      496
Cohomology theory      410 527 528
Cohomotopy group      525
Coincidence      143 538 547
Coincidence degree      367
Coincidence point      531
Coincidence space      538
Cokernel      609
Collectively compact sequence      185
Colvin, M.R.      523
Combinatorial lemma      90
Commensurable subspaces      559
Commutative diagram      371 617
Commutativity      308 335 414 463
Compact attraction      427
Compact deformation      132
Compact field      127 139
Compact fraction      538
Compact homotopy      5 120 290
Compact map      112
Compact map of pairs      451 484
Compact set      593
Compact set-valued map      106 177 542
Compact space      593
Compactly absorbing map      427
Compactly extendable map      290
Compactly fixed homotopy      305
Compactly fixed map      305
Compactly homotopic maps      290
Compactly nullhomotopic map      290 292
Compactly rooted ma      262
Compactum      540
Compatible family      402
Complementarity problem      76
Complementary subspaces      600
Complementing function      272
Complete metric      594
Complete metric space      595
Complete semilattice      31
Complete simplex      101
Completely continuous map      112 544
Completely continuous operator      605
Completely regular space      592
Completing a diagram      617
Completion      595
COMPLEX      599
Component      590
Composite map      589
Composite morphism      370
composition      598 616
Composition law      364
Concave family in the sense of Fan      42
Concave function      38
Concave-convex function      38
Concentrating      240
Condensing field      360
Condensing map      133 336
Cone      207 293 323 000
Cone functor      514
Cone operator      381
Conjugate space      42 604
Conley, C.      575 580
Connected between A and B      319
Connected space      590
Connecting homomorphism      613
Connectivity function      138
Conner, P.E.      247 582
Consecutive pair of triads      498
Constant functor      403
Contiguous maps      479
Continuation method      12 33 192
Continuation principle      351
Continuity      247 495
Continuous deformation      92
Continuous functor      501
Continuous map      25 591
Continuous set-valued map      599
Contractible space      92
Contraction constant      9
Contractive field      11
Contractive map      9
Contravariant functor      371 619
Convergent map      593
Converse of Banach theorem      24
Convex closure      603
Convex hull      600
Convex map      38
Convex set      599
Convexoid      462
Core      426
Counterimage      589
Covariant functor      371 618
Covering      593
Crabb      587
Critical level      407
Critical point      106 367 460 551 407
Critical value      251 367 551
CW-coniplex      221
Cycle mod $L$      219
D-function      407
Dai, Z.D.      192
Dancer, E.N.      364
Dane$\check{s}$ theorem      29
Dane$\check{s}$, J.      35
Darbo theorem      133
Darbo, G.      133
Davies      248
Dawidowicz, A.      523
Day, M.M.      48-50 196
De Rham cohomology      362
Decomposition space      293
Dedekind-complete semilattice      31
Deformable space      294
Deformation      289
Deformationretract      289
Degiovanni      460
Degree      253 258 490 586 612
Degree equivariant      573
Degree for Sobolev maps      584
Degree for VMO maps      582
Degree in Wiener spaces      586
Degree mod 2      545
Degree problem      249
Degree with respect to $b$      270 274
Degree, generalized      527
Deguire, P.      178 191
Deimling, K.      196 275 366
Deleanu, A.      366 439 462
Deleting homeomorphism      62
DeMarr, R.      78
Demiclosed field      81
Dense set      590
Dense subcategory      493
Dependence on boundary values      270 350
Derivative      36 604
Diagonal representation      367
Diameter of set      594
Dieudonn$\acute{e}$, J.      222 274 276 409
Differentiable map      604
Differential      612
Differential operator      581
Dimension axiom      495 560
Dimension of polyhedron      198 475
Direct limit      402
Direct limit group      614
Direct product      609 600 609 612
Direct system      402 614
Directed inward, vector field      244
Directed outward, vector field      244
Directed set      593
Dirichlet problem      181
Disconnected between $A$ and $B$      319
disconnection      360
Discrete Banach theorem      19
Discrete topology      590
Distal family      172
Distance      594
Divisible family      457
Dixmier, J.      50
Dold theorem      333
Dold, A.      275 301 333 33-1 409 458 459 573 587
Domain invariance, see invariance of domain dominating space      468
Dowker theorem      287
Dowker, C.H.      301 304 412
Drop      29
Dual class      175
Dual of set-valued map      37 598
Dual space      604
Dugundji - Fan theorem      244
Dugundji comparison principle      391
Dugundji extension theorem      163 194
Dugundji, J.      24 35 48 84 103 105 108 194 196 244 246 274 300-304 409 412 436 437 489 576
Dyer, E.      109 134
Dynamic programming      22
Dyson, F.I.      106
Dzedzej, Z.      549
Eaves, B.C.      107
Eberlein theorem      604 605
Eberlein, W.F.      137 196
Edelstein      19 24
EDGE      86
Eells - Fournier theorem      490
Eells, J.      425 439 490 523
Eidelheit      84
Eigenvalue      2 2-4
Eigenvector      322
Eilenberg - Montgomery coincidence theorem      548
Eilenberg - Montgomerytheorem      541 543
Eilenberg, S.      19 24 100 296 300 380 386 408 409 411 459 525 548
Eisenack, G.      275
Ekeland theorem      30
Ekeland, I.      35 36
Elementary KKM-principle      66 84
Elementary relation      507
Elliptic complex      581
Elsholz, L.      524
Elworthy, K.D.      368
Embedding      591
End of triad      498
Endomorphism      581
Enflo, P.      193
Engelking, R.      177 193 284 320
Enlarged sequence      500
EPIC      601 009
Epimorphism      001 009
Equiconnected space      302
Equiconnecting data      282
Equicontinuous family      44 173
Equicontinuous sequence      185
Equicontinuous subset      007
Equivalent metrics      594
Equivalent norms      55
Equivalent objects      370 617
Equivariant degree      573
Equivariant map      553
Essential component      329
Essential field      103 128 358
Essential fixed point      329
Essential fixed point class      488 577
Essential map      5 121
Essential space      290
Euclidean nbd      303
Euclidean neighborhood retract      301
Euler characteristic      232 405
Euler number      229 418 421
Euler, L.      221
Eventually compact ma      427
Exact sequence      601 009 013
Exactness axiom      410 492 495
Excision      218
Excision axiom      270 308 463
1 2 3 4 5 6
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