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| Авторизация |
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| Поиск по указателям |
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| Dempe S. — Foundational of Bilevel Programming |
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| Предметный указатель |
 -optimal solution set mapping 88
Algorithm, bundle algorithm 203—204
Algorithm, bundle algorithm nonconvex case 207
Algorithm, cutting plane algorithm 262
Algorithm, descent algorithm 194 198
Algorithm, discrete bilevel problem 263
Algorithm, method for approximation of a computed solution 220
Algorithm, prototype descent algorithm 235
Algorithm, trust region algorithm 211
Assumption, (C) 65
Assumption, (CG) 224
Assumption, (FRR) 83
Assumption, (LIN) 83
Assumption, (MFCQ) 63
Assumption, (PLICQ) 147
Assumption, (SCR) 83
Assumption, (SSOC) 66
Bouligand differentiable 74
Chemical equilibrium 11
Chvatal — Gomory cut 260
Clarke regular 90
Condition (C1) 78
Condition (C2) 78
Condition (PFC) 144
Constraint qualification, calmness 185
Constraint qualification, constant rank constraint qualification (CRCQ) 77
Constraint qualification, linear independence constraint qualification 83 153
Constraint qualification, Mangasarian — Fromowitz constraint qualification 63 152
Constraint qualification, nonsmooth linear independence constraint qualification 155
Constraint qualification, nonsmooth Mangasarian — Fromowitz constraint qualification 155
Constraint qualification, partial calmness 157
Constraint qualification, strict Mangasarian — Fromowitz constraint qualification 152
Contingent cone 71
Derivative, Clarke directional derivative 90
Derivative, lower Dini directional derivative 89 133
Derivative, upper Dini directional derivative 89 133
Dual cone 137
Function,  -function 159
Function,  -function 71
Function, distance function 64
Function, exact penalty function 209
Function, Fischer — Burmeister function 215
Function, generalized -function 159
Function, Lagrangian function 63
Function, locally Lipschitz continuous 68
Function, locally upper Lipschitz continuous 68
Function, lower semicontinuous 64
Function, optimal value function 62
Function, penalty function 209
Function, perturbed Fischer — Burmeister function 215
Function, pseudodifferentiable 74
Function, radial-continuous function 160
Function, radial-directional differentiable function 160
Function, semi-Lipschitz continuous function 231
Function, semismooth function 73
Function, upper semicontinuous 64
Generalized gradient 72
Generalized Jacobian 73
Lagrange multiplier 63
Lower optimal solutions 126
| Mapping, feasible set mapping 63
Mapping, Lipschitz continuous 65
Mapping, lower semicontinuous 64
Mapping, point-to-set mapping 1
Mapping, polyhedral point-to-set mapping 24
Mapping, pseudo Lipschitz continuous point-to-set mapping 96
Mapping, solution set mapping 62
Mapping, upper Lipschitz continuous 65
Mapping, upper semicontinuous 64
Minimizing sequence 219
Nondegenerate inequality 142
Optimality condition, strong sufficient optimality condition of second order 66
Optimality, global optimal solution 123
Optimality, global optimistic solution 124
Optimality, global pessimistic solution 125
Optimality, local optimal solution 123
Optimality, local optimistic solution 40 124
Optimality, local pessimistic solution 125
Optimality, optimistic solution 123
Point, Bouligand stationary point 134
Point, Clarke stationary point 134
Point, pseudo stationary point 134
Polyhedral cone 135
Problem, bicriteria optimization problem 2
Problem, bilevel programming problem 2
Problem, Cournot — Nash equilibrium problem 9
Problem, decomposition approach 2
Problem, directional derivative optimal solution 79
Problem, dual optimization problem 3
Problem, follower's problem 1 121
Problem, improper optimization problem 3
Problem, leader's problem 2 121
Problem, lower level problem 1 121
Problem, Mathematical Program with Equilibrium Constraints 3
Problem, minimax problem 2
Problem, optimistic bilevel problem 29 124
Problem, pessimistic bilevel problem 29 125
Problem, principal-agency problem 9
Problem, reachable multiplier computation 79
Problem, strong bilevel problem 29
Problem, upper level problem 121
Problem, weak bilevel problem 29
Problem, well-posed 219
Pseudodifferential 75
Radial subdifferential 164
Radial subgradient 163
Region of stability 260
Region of stability linear problem 40
Regular complementarity system 178
Regular value 149
Regularity, generalized Slater's condition 39
Regularity, upper level regularity assumption 129
Selection function, strongly active 73
Set of stationary solutions 63
Set, locally bounded set 91
Set, polyhedral set 24
Solution, local optimal solution 136
Solution, optimistic optimal solution 29
Solution, pessimistic optimal solution 29
Stackelberg game 8
System of Karush — Kuhn — Tucker conditions 64
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