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

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Open half-space      170
Open map      591
Open set      590
Open simplex      86
Opial, Z.      81 196
Opo $\breve{i}$ tsev, V.I.      21
Opposite category      370 616
Orbit      10 22 44 426
Order      345
Ordered simplex      205
Ordinary cohomology theory      410
Ordinary homology theory      386 387
Ordinary level      407
Orientable -structure      368
Orientation of Banach manifold      368
Orientation of normed linear space      507
Oriented degree      368
Oriented simplex      205
Orlicz - Sobolev space      585
Orlicz, W.      47 84
Orthogonal set      606
Orthonormal set      606
Otto, E.      100
Outward directed vector      460
Outward in the sense of Fan, map      170
Outward map      149
pair      4 120
Pair of polyhedra      250
Palais - Smale condition      574
Palais. R.S.      368 439 574
Paracompact space      595
Parallelogram law      606
Partial order      589
Partially extendable ma      1
Partially ordered set      589
Partition of unity      597
Pasynkoff, B.      101 107
Peano theorem      155
Peitgen, H. - O.      245 274 459 460
Pelczy $\acute{n}$ ski, A.      8 194
Penot, J. - P.      35 137
Period      229
Periodic point      229
Periodic Problem      181 184
Periodic transformation      152
Periodicity index      432
Perov, A.I.      351 366
Perron- Frobenius theorem      193
Perturbed Galerkin equation      158
Perturbed Galerkin method      158
Petryshyn. W.V.      81 366
Pfister, A.      105
Phelps, R.R.      35 36
Phragm $\acute{e}$ n Brouwer theorem      530
Picard, E.      23
Pitcher, G.      461
Pittnauer, F.      20
PL-generic map      252
Pogorzelski, W.      82 365
Poincar $\acute{e,}$ H.      82 221 222 242 246 578
Poincar $\acute{e}$ - Birkhoff theorem      578
Poincar $\acute{e}$ - Brouwer theorem      238
Poincar $\acute{e}$ - Hopf theorem      402
Poincare polynomial      406
Point-compact set-valued map      598
Polyhedral domain      251
Polyhedron      197 250
Polytope      214 476
Pont, J. - C.      222
Pontrjagin, L.      81
Positive simplex      88
Potter, A.J.B.      139
Powers, M.J.      439 489 548 549
Precup, R.      138 189
Preorder      589
Preordered set      589
Presentation      379
Prodi, G.t      84
Projection      589
Projective topology      592
Proper map      366
Proper subtriad      497
Proper wedge      322
Pruszko      196
Pruszko, A.      575
Pseudo-identity map      210
Pseudomanifold      220
Pugh, C.C.      80
Pull-back      534 618
Quasi-bounded map      125 132
Quasi-component      319
Quasi-concave function      38
Quasi-convex function      38
Quasi-homeomorphic spaces      109
Quasi-linear differential equation      347
Quasi-norm      132
Quotient graded group      612
Quotient group      609
Quotient space      293 592 599
R $\acute{o}$ za $\acute{n}$ ska, J.      222
Rabinowitz, P.      248 274 275 335 361 574
Rademacher, H.      84
Radial projection      239
Radon, J.      246
Rahinuwitz - Niissbaum theorem      342
Ray      350
Read, O.J.      111 193
Real vector spare      599
Realization of abstract complex      203 477
Reduced homology group      388
Reduced homology sequence      217
refinement      595
Refining function      411
Reflexive space      605
Regular class      175
Regular covering      297
Regular point      367 551
Regular space      591
Regular value      251 363 367 551
Regular zero      554
Regularly shrinkable set      360
Reich, S.      81 139
Relative bijection      294
Relative dimension      559
Relative homeornorphism      408
Relative Lefschetz theorem      459
Relative Mayer - Vietoris homomorphism      497
Relative Morse index      574
Relatively compact set      593
Representation of ma      361
Representative      614 616
Repulsive fixed point      453
Restriction      589
retract      3 591
Retraction      3 107 591
Riedrich      141
Riemann, B.      221
Riesz - Schauder theorem      606
Riesz, F.      601
Right homotopy inverse      360
Right inverse      610 617
Robert, R.      196
Rockafellar, R.T.      36
Rogers, C.A.      187
Ross, K.A.      50
Rot he map      367
Rotation      238
Rothe, E.      124 138 140 275 366 367
Rouch $\acute{e}$ theorem      267 350
Rubinsztein, R.      573

Rudyak, Yu      581
Rutaman, M.A.      190
Ruziewicz, S.      23
Rybakowski. K.      438
Ryll - Nardzewski theorem      196
Ryll - Nardzewski, C.      196
Sadovski $\breve{i}$ , B.N.      133 366
Sadovskii theorem      133
Salanion, D.      575 579
Sapronov, Yu.I.      337 366 368
Sard theorem      551
Sbordone, C      1 585
Scalar field      599
Scalar multiplication      599
Scarf, H.      107 108
Schaefer, H.      139
Schauder - Tyrhonoff theorem      148 177 195
Schauder - Tyrhonoff theorem, generalized      186 475
Schauder approximation theorem      117
Schauder domain invariance theorem      130
Schauder estimates      365
Schauder fixed point theorem      119
Schauder invertibility theorem      58
Schauder projection      116 131 354
Schauder theorem      603
Schauder theorem, generalized      165 194 291
Schauder. J.      23 78 82
Schmidt, B.K.      222
Schnirelmann theorem      296
Schnirelmann, L.      81 104 105 248
Schreier, J.      439
Schwartz, J.T.      83 105 275
Schwarz      579
Schwarz genus      248
Schwirz, A.S.      248 368
Scott, D.      35
Second dual      604
Selecting family      177
Selection      599
Semiflow      233 457
Seminorm      602
Semiparallelogram law      80
Separable space      590
Separating family      589
Separating points      21
Sequentially compact space      594
Serre, J. - P.      81
Serrin, J.      365
Set contraction      133
Set-valued contractive ma      36
Set-valued involution      545
Set-valued ma      37 598
Shadowing property      22
Short exact sequence      609
Shrinkable nbd      470
Shrinking orbit      20
Shub      457
Shub Sullivan theorem      457
Siegberg, H. - W.      274 549
Sieklucki, K.      107 110
Sikorski, R.      193
Simon, A.      35 138 188
Simon, R.S.      192
simplex      85 475 476
Simplicial approximation      202
Simplicial complex      197 221
Simplicial decomposition      197
Simplicial map      202 215 476
Simplicial subdivision      214
Simplicial vertex map      88
Singular -chain      372
Singular -chain functor      373
Singular -simplex      372
Singular cohomology group      411
Singular complex      374
Singular homology functor      374
Singular homology group      373 377
Singular point      272 339
Singular set      339
Singularity      103 241
Sintsoff, D.      222
Sion      191
Skordev, G.      549
Skrypnik, I.V.      366
Smale - Sard theorem      368
Smale, S.      248 367 368 440 461
Smith, K.T.      161 193
Smith, P.A.      192
Smooth map      551
Smooth partition of unity      551
Sobolev space      608
Soloveff, P.      222
Space      1
Spanier, E.      245 247 295 412 440
Special compact field      358
Special neighborhood      340
Special of open embeddings      60
Special pair of polyhedra      250
Special PL ${}^{n}$ map      251
Spectrum of CW-complexes      528
Sperner labeling      101
Sperner Lemma      101 107
Sperner, E.      101 107
Spiez, S.      192
Split exact sequence      609
Square roots in Banach algebras      21
Stability of attractors      22
Stable attractor      426
Stable cohomotopy      528
Stable fixed point      329
Stallings, J.      138
Stampacchia theorem      49 66
Stampacchia, G.      79 84
Standard -simplex      86
Standard approximating system      501
Standard Euclidean -simplex      372
Standard form of simplex      87
Standard map      205 221 480
Standard realization      203 477
Standard retraction      3 53
Star      198 476
Star-shaped set      77
Start of triad      498
Stationarily homotopic maps      282
Steenrod, N.      386 411
Steinhaus, H.      23 100 191 192
Steinlein, H.      192 245 248 452 460
Stepanoff, V.      222
Sternfeld, Y.      108
Stirling, D.S.G.      21
Sto $\dot{z}$ ek, W.      23
Stone theorem      595
Str $\check{a}$ til $\check{a}$ . S.      196
Strict minimizer      30
Strictly differentiable map      36
Strictly monotone map      75
Strictly separated sets      170
Stroffolini, B.      585
Strong deformation retract      289
Strong excision      386 410 492 495
Strong normalization      335 463
Strong topology      478
Strongly acyclic set-valued map      550
Strongly indefinite Morse functional      574
Strongly KKM-map      38 96
Strongly Lefschetz map      422
Strongly monotone map      61 75
Structure      391
Structure category      391
Subbase      590

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