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| Авторизация |
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| Поиск по указателям |
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| Zalinescu C. — Convex Analysis in General Vector Spaces |
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| Предметный указатель |
Best approximation 237
Bomology 190
Bomology, Frechet 190
Bomology, Gateaux 190
Bomology, Hadamard 190
Cone 1
Cone, dual 7
Cone, normal 87
Cone, recession 6
Cone, tangent (of Clarke) 169
Convolution 43
Directional derivative 56
Directional derivative,  58
Directional derivative, Clarke — Rockafellar 171
Directional derivative, upper Dini 58
Domain of function 39
Domain of multifunction 12
Domain of operator 42
Duality mapping 230
Duality strong 107
Duality weak 107
Epigraph of function 39
Epigraph of function, strict 39
Epigraph of operator 42
Function,  -conditioned 196
Function, -conditioned, with respect to 196
Function,  -convex 203
Function,  -smooth 204
Function, -smooth, on a set 204
Function, B-differentiable 191
Function, bcs-complete 68
Function, coercive 100
Function, coercive, strongly 214
Function, concave (strictly) 40
Function, conjugate (Fenchel) 75
Function, convex 39
Function, convex, strictly 40
Function, convex, strongly 203
Function, cost 99
Function, cs-closed 68
Function, cs-complete 68
Function, cs-convex 67
Function, distance 237
Function, ideally convex 68
Function, indicator 41
Function, Lagrange 138
Function, lcs-closed 68
Function, li-convex 68
Function, Lipschitz 66
Function, Lipschitz, locally 66
Function, marginal 43
Function, objective 99
Function, performance 107
Function, perturbation 106
Function, proper 39
Function, Q-decreasing 42
Function, Q-increasing 42
Function, quasi-continuous 67
Function, quasi-convex 41
Function, recession 74
Function, S-smooth 191
Function, subdifferentiable 80
Function, sublinear 4
Function, support 79
Function, uniformly convex 203
Function, uniformly convex, at a point 201
Function, uniformly convex, on a set 203
Function, uniformly convex, on bounded Function, sets 221
Function, uniformly Frechet differentiable 207
Function, uniformly smooth on a set 207
Function, uniformly smooth on bounded sets 221
Function, value 107
Function, weight 227
Function, well-behaved (asymptotically) 259
Function, well-conditioned 197
Gage of conditioning 196
Gage of smoothness (midpoint) 205
Gage of uniform convexity 203
Gage of uniform convexity, at a point 201
Gage of uniform smoothness 205
Gage of uniform smoothness, of the norm 231
Gage of uniform smoothness, on a set 204
Global error bound 262 265
Graph of multifunction 12
Half-space, closed 5
Half-space, open 5
Hull, affine 2
Hull, conic 2
Hull, conic, closed 7
Hull, convex 2
Hull, convex, closed 7
Hull, linear 2
Hull, lsc convex 63
Hyperplane, closed 5
Hyperplane, supporting 5
Image of multifunction 12
Interior, algebraic 3
Interior, algebraic, relative 3
Interior, algebraic, with respect to 2
Interior, quasi relative 15
Kadec — Klee property 233
Kadec — Klee property, weak* 233
Lagrange multiplier 139 140
Lagrangian 138
Lsc envelope 62
Lsc regularization 62
Max-convolution 43
Metrically regular system 269
Minkowski gauge 4
Multifunction 12
Multifunction, bcs-complete 13
Multifunction, closed 13
Multifunction, cs-complete 13
Multifunction, cs-convex 13
| Multifunction, ideally convex 13
Multifunction, inverse 12
Multifunction, lcs-closed 13
Multifunction, li-convex 13
Multifunction, locally, at a point 286
Multifunction, locally, bounded 286
Multifunction, monotone 82
Multifunction, monotone, cyclically 84
Multifunction, monotone, maximal 82
Multifunction, monotone, strictly 82
Normed space, smooth 227
Normed space, strictly convex 227
Operator, Q-concave 42
Operator, Q-convex 42
Operator, relatively open 119
Point, local maximum 105
Point, local minimum 105
Point, saddle 138
Point, sharp minimum 248
Point, support 5
Problem, convex Problem, programming 99
Problem, dual 107
Problem, normal 109
Problem, primal 107
Problem, stable 109
Process 26
Process, adjoint 26
Process, closed 26
Process, convex 26
Quasi-inverse, greatest 188
Quasi-inverse, lowest 188
Semi-norm 4
Separation of two sets 5
Separation of two sets, proper 5
Separation of two sets, strict 5
Series, b-convex 9
Series, Cauchy 9
Series, convergent 9
Series, convex 9
Set, absorbing 4
Set, admissible solutions 99
Set, Affine 1
Set, balanced 1
Set, bcs-complete 9
Set, Chebyshev 237
Set, constraints 99
Set, convex 1
Set, cs-closed 9
Set, cs-complete 9
Set, ideally convex 9
Set, level 39
Set, level, strict 39
Set, lower cs-closed (lcs-closed) 11
Set, lower ideally convex (li-convex) 11
Set, monotone 82
Set, monotone, maximal 82
Set, monotone, strictly 82
Set, polar 7
Set, quasi-continuous 67
Set, star-shaped 1
Set, symmetric 1
Set, weak sharp minima 248
Sets united 17
Slater's condition 138
Solution, 106
Solution, admissible 137
Solution, optimal 99
Space, algebraic dual 3
Space, barreled 9
Space, complete 8
Space, first countable 8
Space, Frechet 8
Space, linear, parallel to 2
Space, orthogonal 7
Space, quasi-complete 8
Space, topological dual 4
Subdifferential 80
Subdifferential, 82
Subdifferential, abstract 178
Subdifferential, Clarke 175
Subdifferential, Fenchel 80
Subgradient 80
Subgradient, 82
Support functional 5
Support point 5
Theorem Alaoglu — Bourbaki 8
Theorem Baire I 34
Theorem Baire II 34
Theorem Banach — Steinhaus 25
Theorem biconjugate 77
Theorem bipolar 7
Theorem Bishop — Phelps 166
Theorem Borwein 159
Theorem Borwein — Preiss 31
Theorem Brondsted — Rockafellar 161
Theorem Closed Graph 25
Theorem Dieudonne 7
Theorem Eidelheit 5
Theorem Ekeland 29
Theorem Ioffe — Tikhomirov 97
Theorem open mapping 25
Theorem Pshenichnyi — Rockafellar 136
Theorem Robinson 23
Theorem Rockafellar 169 288
Theorem Simons 22 167
Theorem Ursescu 23
Theorem Zagrodny 179
Uniformly convex 234
Uniformly convex, locally 234
Uniformly smooth 231
Uniformly smooth, at a point 231
Uniformly smooth, locally 231
Value of a problem 99
Value saddle 144
Young — Fenchel inequality 75
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