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

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

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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

Selection      421
Semifilter      337
Semitangent cone      318
Sets $\Phi$ -separated      37
Sets decisively separated      133
Sets separated by $\psi$       23
Sets with drop property      260
Severi      318 568
Shamos      493 564
Shapiro      419 568
Sharp class of functions      57
Shephard      493 557
Shindoh      432 557
Shor      568
Sierpinski      319
Sims      261 556
Singer      195 568
Slice      242
Small function      208
Smolyanov      156 552
Smooth variational principle      120
Soltan      53 85 568
Solution (in vector optimization)      529
Sova      155 568
Space of parameters      40 526 528
Stachura      293 568
Stadler      497 505 554 568
Starshaped *.*      238
Stationary point      396 479
Steinhaus      225 552
Stepanov condition      59
Sterna-Karwat      550 563
Stream      242
Stream dyadic      243
Strict, $\Phi$ -subgradient      2
Strict, $\Phi$ -supergradient      2
Strict, $\Xi$ -subgradient      533
Strict, epigraph      22 297
Strict, hypograph      304
Strict, local $\Phi$ — subgradient      98
Strict, local $\Phi$ — supergradient      98
Strict, local maximum      98
Strict, local minimum      98
Strict, maximum      ix
Strict, minimally situated subset      530
Strict, minimum      ix
Strict, order      498
Strict, solution      532
Strict, subgradient      1
Strict, supergradient      1
Strictly convex norm      241
Strictly convex space      242
Strictly ordering relation      498
Strictly stable multifunction      540
Strong Dolecki approximations      367
Strong Dolecki domination property      547
Strongly directional $\Phi$ *.*      156
Strongly lower semi-continuous multifunction      181
Strongly properly efficient element      547
Strongly properly efficient, first order approximation      128
Subdifferential of quasidifferentiable function      442
Subgradient      1
Subgradient on a set      471
Sublinear function      413
Submission property      502 544
Sup-convolution      304
Superdifferential of quasidifferentiable function      442
Supergradient      1
Supergradient on a set      471
Superposition of multifunctions      176
Supporting functional      323
Supports      23
Supremal Pareto point      501
Supremum in vector lattice      522
Supremum Pareto set      501
Surjection      16
Symmetric n-linear form (operator)      391
Tammer      222 522
Tangent (tangent cone)      314 321
Tanino      549 568

Tensor product of algebras      435
Thibault      568
Tichomirov      378 379 380 401 558
Tikhonov      224 225 568
Tikhonov topology      224
TINY function      209
Transitive relation      497
Treiman      333 341 569
Trivial extension      434
Trivially extended algebra      434
Troyanski      266 569
Tucker      349 350 352 514 515 559
Uniform containment property      544
Uniformly $\delta$ -Hausdorff upper semi-continuous multifunction      198
Uniformly $\Phi$ -convex function      74
Uniformly $\Phi$ -smooth function      80
Uniformly $\Phi-Frechet$ differentiable      135
Uniformly $\Phi_{\Delta}$ -convex function      77
Uniformly almost lower semi-continuous multifunction      207
Uniformly continuous family of functions      223
Uniformly continuous function      203
Uniformly convex Minkowski gauge      279
Uniformly convex norm      242
Uniformly convex set      279
Uniformly convex set with respect to a center a      286
Uniformly convex space      242
Uniformly pseudo-Hausdorff upper semi-continuous multifunction      199
Uniformly pseudo-Lipschitz upper semi-continuous multifunction      199
Uniformly sleek set      330 369
Uniformly weakly well-posed family of problems      287 288
Uniformly well-posed problem      273 274
Uniformly, globally lower semi-continuous multifunction      202
Uniformly, Hausdorff upper semi-continuous multifunction      187
Uniformly, lower semi-continuous multifunction      200
Uniqueness property      9
Universal derivative      434
Universal modul      434
Universally stable multifunction      539
Upper limit      338
Upper semi-continuous multifunction      174
Urbannski      413 458 562
Ursescu      376 569
Vainstein      195 559
Value multifunction      41 532
Varaiya      569
Vasiliev      554
Vector $\Phi$ - *.*      523 524
Vector duality      527
Vector Fenchel dual (conjugate) function      525
Vector lattice      522
Vector marginal function      526
Vector minimal value      526
Virtual solution (in vector optimization)      529
Virtually *.*      535
Vogel      502 569
VoLle      70 71 564
voronoi      493 569
Voronoi sets      493
Walker      452 562
Weak $\Phi$ - *.*      26 156
Weak convexification      26
Weak drop property      260
Weakly $\Phi$ -convex set      23
Weakly convex function      301
Weakly well-posed problem      67
Well-conditioned function      67
Well-posed problem      67
Wets      67 297 304 551
Wieder      492 558
Wierzbicki      507 520 569
Wojtaszczyk      699
Yamamuro      569
Yorke      261 556
Yu      560 569 570
Zagrodny      299 570
Zajicek      88 564
Zariski      435 570
Zelazko      392 561
Zhuang      200 208 211 553
Zowe      385 401 402 561 570

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