Pallaschke D., Rolewicz S. — Foundations of Mathematical Optimization. Convex Analysis without Linearity :: Электронная библиотека попечительского совета мехмата МГУ

Главная Ex Libris Книги Журналы Статьи Серии Каталог Wanted Загрузка ХудЛит Справка Поиск по индексам Поиск Форум

Авторизация

Поиск по указателям

Pallaschke D., Rolewicz S. — Foundations of Mathematical Optimization. Convex Analysis without Linearity

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

Название: Foundations of Mathematical Optimization. Convex Analysis without Linearity

Авторы: Pallaschke D., Rolewicz S.

Язык:

Рубрика: Математика/

Серия: Сделано в холле

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 598

Добавлена в каталог: 17.09.2012

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

Предметный указатель

Gauge of well-conditioning      71
Gauge of well-conditioning well-posedness      71
Generalized partial derivatives      460
Georgiev      261 556
Germs algebra      449
Germs of function      448
Gerritzen      556
Gil de Lamadrid      556
Giles      260 261 556
Globalization property      102 103
Globally lower semi-continuous multifunction      202
Glover      5 15 20 567
Goebel      289 556
Goepfert      556
Gohberg      72 556
Goldenstein      72 556
Gorokhovik      459 556
Graph of a multifunction      5 48
Graph-closed multifunction      192
Grill of a filter      337
Gruenbaum      493 557
Grzybowski      413 557
Guddat      222 557
Guenzel      432 557
Guilllerme      557
hadamard      155 557
Hadamard *.*      155
Hager      429 557
Halkin      557
Harker      487 557
Harnack      13 557
Hartman      415 416 419 420 557
Hausdorff upper semi-continuous multifunction      187
Hayman      13 557
Henig      547 557
Hirabayashi      432 557
Hiriart-Urruty      332 334 557
Hoermander      557
Homogeneous form of degree n      390
Huff      271 520
Hull operation      52
Hyperplane cuttting a set in a bounded way      256
Hypertangent cone      331 341
Hypertangent cone, radial      332
Hypograph      304
Idempotent operator      52
Increasing function on ordered space      503
Index of non-compactness of Kuratowski      72
Indicator function of a set      294
Inequality level set      21
Inf-convolution      296
Infimal Pareto Point      501
Infimal value (in vector optimization)      529
Infimally situated sets      530
Infimum in vector lattice      522
Infimum Pareto set      501
Inner carrier of $\Gamma$ at $y_{0}$       214
Interiority of a vector with respect to a cone      540
Internal tangent cone      316 321
Internally active point with respect to a multifunction $\Gamma$       213
Inverse multifunction      41
Inverse relation      498
Ioffe      45 185 197 378 379 380 401 412 558
Isac      405 558
Isotone operation      52
Jahn      504 505 506 509 558
James      268 270 558
Jandl      492 558
Jeyakumar      20 567
john      349 350 352 514 515 558
Jongen      432 557 558
Jourani      558
K-convex space      84
K-efficient point      503
K-properly efficient element      511
k-th boundle      471
Kadec      266 558
Kaliszewski      559
Karush — Kuhn — Tucker conditions      484
Kato      377 559
Kenderov      90 207 559
Kennedy      13 557
Khanh      559
Kiwiel      469 559
Klatte      222 552
Kojima      484 559
Krasnosel'ski      403 404 405 559
Kuhn      349 350 352 514 515 559
Kummer      222 552
Kuntz      422 428 429 430 458 480 485 552 559
Kuratowski      72 194 340 559
Kurcyusz      xi 20 41 43 174 386 555 560
Kusraev      560
Kutateladze      xi 20 57 560
Kutzarova      255 256 259 260 261 271 273 288 291 293 556 560
Lagrange function (Lagrangian)      40 41
Lagrangian (in vector optimization)      529
Lasry      304 305 560
LCD(U)      446
Lebourg      115 138 555
Leitman      570
Lemaire      67 236 560
Lemarechal      469 560
Level set bounded function      300
Levi      53 560
Levitin      157 560
Limit of the filter      337
Lin      292 560
Lindberg      57 560
Linear gauge      71
Linear programming problem      483
Lions      304 305 560
Lipschitz condition      59 143
Lipschitz upper semi-continuous multifunction      187
Lipschitzian function      59
Lipschitzian mapping      59 143
Little      497 561
Local $\Phi$ - *.*      98
Local $\Phi_\{\varepsilon}$ - *.*      110
Local growth condition      67
Local inner approximation      130
Local maximum      98
Local minimum      97
Local monotonicity property      92
Local Pareto maximum      513
Local Pareto minimum      513
Local surjection      142
Local uniqueness property      99 114
Locally $\Phi$ -smooth function      80
Locally $\Phi_{\Delta}$ -smooth function      80
Locally angle-small set      92
Locally controllable multifunction      375
Locally increasing function in ordered spaces      517
Locally Lipschitzian mapping      60 143
Locally uniformly $\Phi$ -convex function      77
Locally uniformly $\Phi_{\Delta}$ -convex function      77
Locally uniformly convex norm      266 306
Locally uniformly rotound norm      266
Lovaglia      266 267 561
Lower bound      499
Lower limit      338
Lower multifunction      178 179
Lower semi-continuous function      56
Luc      506 561
Lusternik      378 561
Maaden      261 556 561
Malivert      500 502 529 539 555
Marginal function      41 526
Markus      72 556
Matsumura      434 561

Maurer      385 401 402 561
Maximal set      500
Maximizing couple      532
Maximum      ix 500
Mazur      307 561
Melzer      422 561
Menger      85 561
Method of common steepest descent      478
Metric upper semi-continuous multifunction      187
Michel      59 561
Milyutin      35 157 314 341 342 555 560
Minimal set      212 500
Minimal value (in vector optimization)      529
Minimal value function      41
Minimally situated sets      530
Minimizing couple      532
Minimum      ix 500
Minkowski gauge      279
Minkowski norm      268
Minty      7 561
Mitiagin      392 561
Modulus of -Hausdorff upper semi-continuity      198
Modulus of Hausdorff upper semi-continuity      187
Modulus of lower semi-continuity of a multifunction      200
Modulus of pseudo Hausdorff upper semi-continuity      198
Modulus of smoothness      124
Monomial norm of order n      391
Monomial of degree n      391
Monotone multifunction      5 524
Monotonically increasing function      504
Monotonicity property      88
Montesinos      242 245 267 270 561
Mordukhovich      412 561 562
Moreau      17 296 301 562
Moreaux — Fenchel inequality      17
Multifunction of equality type      44
Multifunction of inequality type      47
Multifunction, $\mathcal{F}$ -stable      174
Multifunction, closed at $у_{0}$       192
n-linear form      390
n-linear operator      390
n-times differentiable operator      393
Nakayama      544 568
Nearly uniformly convex norm      289
Nearly uniformly convex set      289
Nearly uniformly smooth space      293
Needle class of functions      57
Nehse      20 555 556
Neighbourhood filter      337
Neustadt      156 562
Newns      452 562
Non-negative functional      33
Norm of the n-linear form      390
Norm operator      390
Nuclear cone      405
Order      49 497
Order preserving function      503
Ordered space      498
Ordering relation      497
Orlicz      58 553 561 562
Osmolovski      157 560
Pallaschke      413 458 552 558 560 562
Pang      487 563
Paraconvex function      302
PARETO      497 563
Pareto maximal set      500
Pareto maximum      500
Pareto minimal set      500
Pareto minimum      500
Pareto optimum      497
Partial order      48
Peaking property      57
Pelczynski      140 226 563
Penot      59 63 65 66 67 70 71 239 332 333 334 341 550 552 553 561 563 564
Petal      65
Phelps      6 564
Piecewise *.*      421
Pielczyk      480 485 564
Pinkser      564
Point derivative with respect to $\delta$       449
Polarity      50
Polyak      475 564
Polynomial of degree n      393
Positive functional      33
Positive homogeneous function at $x_{0}$       150
Postolica      405 501 558 564
Pre-order      497
Pre-ordered space      498
Pre-ordering relation      497
Pre-submission property      502
Precompact set      189
Preiss      88 120 121 312 553 564
Preparata      493 564
Problem weakly well-posed      67
Problem well-conditioned      67
Problem well-posed      67
Proper domination property      547
Proper inf-convolution      297
Proper solution      532
Proper sup-convolution      304
Properly minimal element      547
Prus      293 564
Przeworska-Rolewicz      160 165 358 426 564
Pseudo Hausdorff upper semi-continuous multifunction      198
Pseudo Lipschitz upper semi-continuous multifunction      198
Ptak$      209 564
QD(U) equivalent functions      456
QD(U)-mapping      456
Quadratic decline condition      303
Quadratic form      391
Quadratic grow condition      305
Quadratic operator      391
Quasi-convex function      29
Quasi-inverse function      70
Quasi-symmetry condition      136
Quasidifferentiable function      441
r-level polarity      54
r-net of a set E      73
Radial cone      322
Radial contingent      322
Radial hypertangent      331
Radial tangent      322
Radial-directional derivative      459
Radstroem      375 564
Recht      458 562
Refexive relation      497
Region of q-almost lower semi-continuity      208
Region of q-lower semi-continuity      207
Regular point of quasidifferentiable function      457
Regularization      296
Relaxed $\varepsilon$ — $\Phi$ *.*      6
Residual drop      280
Robinson      375 376 382 384 385 386 387 388 389 564 565
Rockafellar      7 8 48 233 332 334 377 412 553 565 566
Rolewicz      xii 28 79 80 81 82 84 88 91 92 103 104 105 106 107 108 109 124 126 140 160 165 172 174 176 177 189 190 193 194 196 204 240 253 255 256 259 260 271 273 280 288 291 302 303 375 392 401 403 406 293 408 505 506 507 509 511 518 520 521 555 560 566 567
Rubinov      xi 5 15 20 57 413 441 464 468 551 554 556 560 567
Rudnicki      84 567
Sadovski      72 567
Salukvadze      516 567 568
Samuel      435 570
Savaragi      549 568
Scalarization      505
Scalarizing function      505
Schaefer      568
Scholtes      129 413 422 427 429 430 458 552 559 562 568
Sebastiao da Silva      568
Second (Fenchel) dual function      2
Second vector (Fenchel) dual      526
Sedgewick      493 568
Sekowski      289 293 550 568

1 2 3

О проекте