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| Phelps R.R. — Convex Functions, Monotone Operators and Differentiability |
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| Предметный указатель |
 -cone meager 21
 -differentiable 65
-smooth 64
-smooth norm 69
-subdifferentiable 65
-superdifferentiable 65
 -tree 73
Absorbing point 29
Absorbing set 29
Affine function 1
Angle-small 21
Asplund space 14 24—26 33—35 72 75 80
Asplund space, weak 14 35 37
Asplund's theorems 23 37
Bishop — Phelps theorems 45 51 53 54
Bornology 64
Borwein — Preiss theorem 64 66
Borwein's theorem 50 55
Bounded, locally 5
Bourgin's lecture notes 108
Brondsted — Rockafellar theorem 45 51
Concave function 1
Convex function 1
Convex usco map 97
Cyclically monotone 26
Cyclically monotone, maximal 60
Dentability 25 72
Dentability, weak* 72
Derivative, Frechet 8
Derivative, Gateaux 3
Dick's lecture notes 108
Directional derivative 2
Distance function 1
Duality mapping 28
e-subdifferential 48
Effective domain, function 40
Effective domain, monotone operator 17
Effective domain, saddle function 61
Ekeland — Lebourg theorem 70
Ekeland's variational principle 47 55 83
Epigraph 40
Exposed point 76
Extreme point 76
Farthest distance function 1
Frechet derivative 8
Functional, gauge 1
Functional, Minkowski 1 94
Functional, sublinear 1
Gateaux derivative 3
Gateaux differentiability space 90
GDS 90
Ghoussoub — Maurey theorem 88
Hilbert space norm 9
Indicator function 40
Inf-convolution 33
Infinite -tree 73
Infinite tree 73
James' theorem 44 71
John Rainwater 107
Kenderov's Theorems 32 36 103
Kuo's theorem 39
Lipschitzian, locally 4 8
Locally bounded 4
Locally bounded operator 29
Locally bounded subdifferential 7
| Locally Lipschitzian function 4 8
Lower semicontinuous function 40
M-differentiability space 91
Maximal cyclically monotone 60
Maximal monotone 27 59 99
Maximal point 45
Mazur's theorem 12
MDS 91
Metric projection 9
Minimal usco map 97
Minkowski gauge 1 86
Monotone operator 17 99
Monotone set 27
Monotone, cyclically 26
Monotone, maximal 27 99
Nearest point mapping 9
Parallel hyperplane lemma 94
Perturbed optimization 81 83 88
Preiss — Zajicek theorem 22
Preiss' theorem 71
Proper convex function 40
Proper saddle function 61
Rademacher's Theorem 11
Radon — Nikodym property 72 75 87
Right-hand derivative 2
Rockafellar's theorems 59 60
Rotund norm 35
Saddle function 61
Selection 19
Semicontinuous function, lower 42
Semicontinuous function, upper 82
Semicontinuous map, upper 18
Slice 24 72
Slice, small diameter 25
Slice, weak* 25 72
Smooth norm 35
Smooth space 36
Smooth variational principle 64
Stegall's theorem 82
Strictly convex norm 35
Strictly convex space 36
Strong  set 88
Strong maximum 82
Strong minimum 88
Strongly exposed point 26 87
Subderivative 65
Subdifferential 6 43 61
Subdifferential, saddle function 61
Sublinear functional 1 77
Support function 41
Support point 44
Supporting functional 44
Taylor's theorem, P.D. 57
TREE 73
Upper semicontinuous function 82
Upper semicontinuous map 18 97
Usco map 97
Variational Principle 47 64
WCG 38
Weak Asplund space 14 34 37 70
Weak* dentable 72
Weak* exposed point 76 90
Weak* slice 25 72
Weak* strongly exposed point 76
Weak* usco map 97
Weakly compactly generated 38
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