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  at  214
Interiority of a vector with respect to a cone 540
Internal tangent cone 316 321
Internally active point with respect to a multifunction 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  - *.* 98
Local  - *.* 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 -smooth function 80
Locally  -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 -convex function 77
Locally uniformly -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,  -stable 174
Multifunction, closed at  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  449
Polarity 50
Polyak 475 564
Polynomial of degree n 393
Positive functional 33
Positive homogeneous function at  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  — *.* 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
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