Yuan G.X.-Z. — KKM Theory and Applications in Nonlinear Analysis :: Электронная библиотека попечительского совета мехмата МГУ

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Yuan G.X.-Z. — KKM Theory and Applications in Nonlinear Analysis

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Название: KKM Theory and Applications in Nonlinear Analysis

Автор: Yuan G.X.-Z.

Аннотация:

This reference provides a lucid introduction to the principles and applications of Knaster-Kuratowski-Mazurkiewicz (KKM) theory and explores related topics in nonlinear set-valued analysis.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1999

Количество страниц: 621

Добавлена в каталог: 19.03.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Mapping, Fan pair      242
Mapping, Ferro's quasi C-convex      490
Mapping, generalized contraction      557
Mapping, generalized HKKM      48
Mapping, generalized metric KKM      162
Mapping, HKKM      48
Mapping, hyper $\gamma$ -generalized quasi-convex (concave)      166
Mapping, hyper diagonal quasi-convex (concave)      165
Mapping, hyper quasi-convex (concave)      165
Mapping, hypper $\gamma$ -diagonal quasi-convex (concave)      166
Mapping, inward (resp, outward)      97
Mapping, inward (resp., outward)      100
Mapping, inward and outward      40
Mapping, KF      74
Mapping, KF family      69
Mapping, KKM      359
Mapping, Ky-Fan      242
Mapping, L-majorized      80
Mapping, lower semicontinuity      51
Mapping, lower semicontinuous      84 85
Mapping, Luc's quasi C-convex      490
Mapping, monotone      328 334 419
Mapping, natural quasi C-convex      490
Mapping, nonexpansive      420
Mapping, nonexpansive retract      160
Mapping, open fiber      62
Mapping, open inverse      62
Mapping, open inverse valued      57
Mapping, open lower section      62
Mapping, order (cone convex)      560
Mapping, preference      229
Mapping, properly quasi C-convex      490
Mapping, properly quasi-C-concave      476
Mapping, pseudo-contractive      420
Mapping, pseudo-monotone      328 419
Mapping, quasi-C-convex      476
Mapping, quasi-cone concave      563
Mapping, quasi-contractive      420
Mapping, quasi-convex (concave)      489
Mapping, quasi-monotone      328 419
Mapping, quasi-regular      270
Mapping, segment upper (lower) semicontinuous      211
Mapping, semi-monotone      419
Mapping, set-valued topological contraction      558
Mapping, Shapley      44
Mapping, strictly $\phi$ -monotone      561
Mapping, transfer closed valued      48
Mapping, transfer open inverse valued      57
Mapping, USCO      22 85
Mapping, V-hemicontinuous      360
Mapping, weakly inward      97
Mapping, weakly outward      97
MaxA-notation      357 486
Maximin      508
MC-space      156 181
Measure of non-compactness      306
Method of level set      200
Method, approximation      261
Method, aproximate technique      229
Method, fixed point      16 522
Method, KKM      260
Method, Ky Fan minimax      16 526
Method, minimax      525
MinA-notation      486
Minimax inequality, Kneser      338 422
Minimax inequality, Ky Fan      525
Minimax inequality, Sion      222
Minimax inequality, vector      510
Minimin      508
Model, A      536
Model, B      537
Model, C      539
Multi-objective optimization      14
Nash, bargaining solutions      7
Nash, equilibria      7
NCP-notation      452
Notation n-dimensional simplex      42
Notation, algebraic boundary      98
Notation, algorithm      370
Notation, almost all      21
Notation, GHKKM      4 48
Notation, GMKKM      162
Notation, graph T      141
Notation, MM      221
Notation, MMM      221
Notation, open inverse values      202
Notation, PMM      221
Open lower section (Open inverse)      270
Optimal response strategy      487
Pareto, efficient strategy      521
Pareto, equilibria      520
Pareto, maximal      561
Pareto, minimal      561
Pareto, optimum      561
Pareto, weak efficient strategy      521
Partial order      357
Plane, asymptotic      23
Plane, asymptotic boundary      30
Plane, boundary      30
Plane, boundary asymptoic      24
Plane, closed hyper-      29
Plane, common asymptotic      30
Plane, hyper      23
Plane, interior asymptotic      24
Plane, open half-      23
Plane, supporting hyper-      29
Point, $C^{0}$ -maximal      476
Point, $C^{0}$ -minimal      476
Point, $\epsilon$ -equilibrium      530
Point, $\epsilon$ -saddle      464
Point, C-loose saddle      487
Point, C-minimal      476
Point, C-saddle      487
Point, coincident      98
Point, endpoint      554
Point, equilibrium      7 229 237 570
Point, essential      92 130 349 501
Point, essential coincident      130
Point, essential KF      88
Point, generalized Nash equilibrium      8
Point, Ky Fan (KF)      4 87
Point, maximal      476
Point, maximal element      57 562
Point, minimal      476
Point, non-compact weak C-saddle      503
Point, saddle      475
Point, semi-saddle      488
Point, strict semi-saddle      488
Point, vector maximal      357
Point, weak C-loose saddle      487
Point, weak C-saddle      487
Point, weakly essential      92 501
Point, weakly essential KF      88
Principle, dual form in hyper con vex space      168
Principle, FKKM      50
Principle, KKM      42
Principle, KKM in hyperconvex spaces      163
Principle, Knaster — Kuratowski — Mazurkiewicz (KKM)      1
Principle, MKKM      163
Problem, classical nonlinear complementarity      445
Problem, coincidence      3 96
Problem, complementarity      13
Problem, equilibrium price      13
Problem, generalized complementarity      409 433 445
Problem, generalized quasi-variational      326 334
Problem, generalized variational inequality      395
Problem, intersection      4 199
Problem, minimax      5 200
Problem, minimization      433 437
Problem, nonlinear complementarity      13 452

Problem, obstacle      450
Problem, quasi-variational inclusion      367
Problem, strongly quasi-complementarity      368
Problem, variational inequality without USC      390
Problem, variational-like inequality      358
Property, 2-point intersection      203
Property, connectedness      5 6 199 201
Property, CS      287
Property, domination (DP)      509
Property, finite intersection      49 162 204
Property, generic      19
Property, K      271
Property, LSC      287
Property, P(x)      19
Property, USC      318
Property, USC in Euclidean space      316
Relation, minimax(MM)      221
Relation, minimum minimax (MMM)      221
Relation, preminimax (PMM)      221
Residual set      19
riA-notation      316
Schauder's conjecture      156
separate      29
Separate, strongly      29
Separate, substrictly      29
Sequence, escaping      51 54
Sequence, generalized iterations      557
Sequence, Isac's opposite radial      459
Set, (generalized) nucleolus      561
Set, abstract convexity      181
Set, acyclic      141
Set, admissible      160
Set, algebraic boundary      98
Set, C-compact      509
Set, C-complete      509
Set, C-semicompact      509
Set, cone      475
Set, contractible      42 141
Set, feasible strategy      333
Set, finite dimensional      316
Set, finitely metrically closed      162
Set, H-compact      45
Set, H-convex hull      46
Set, indifference      561
Set, inward      420
Set, MC-convex      183
Set, MC-hull      183
Set, minimally essential      94
Set, residual      127
Set, stable      564
Set, topological boundary      98
Set, weakly H-convex      45
Set-valued analysis      156
Shapley-selection      44
Shih and Tan      327
Shih and Tan, Sion      70
Shih and Tan, topological intersection      204 216
Shih and Tan, topological minimax      5 200 214
Shih and Tan, unified metaminimax      6 200
Shih and Tan, vector minimax      508
Shih and Tan, Wu      154
Shih and Tan, Yannelis and Prabhakar      270
Shih and Tan, Yu and Xiang      95 543
Shih and Tan, Yuan      187 191
Shih and Tan, Zhou      49
Shih Tan and Yu      56
SNCP(f, K, D)-notation      452
Space, Baire      85
Space, Cech-complete      85 500
Space, class $\mathcal{L}$       85 500
Space, closed half      29
Space, convex      113
Space, Frechet      312
Space, G-convex      190
Space, H-structure      2 39 45
Space, Hardy      156
Space, hyperconvex metric      156 159
Space, interval      149 208
Space, l.c.      154
Space, locally convex H-      153 156
Space, locally convex MC-      156 187
Space, locally convex topological vector      156
Space, locally G-convex      190
Space, locally generalzied convex      197
Space, locally metrically convex H-      154
Space, ordered Banach      560
Space, perfectly normal      279
Space, pseudo-complete      567
Space, quasi-regular      567
Space, strategy      530
Space, strict half      29
Srong form      13
Structure, $\alpha$ -connected structure      212
Structure, $\alpha$ -connectedness      209
Structure, face      46
Structure, simplicial convexity      183
System, dissipative dynamic      555
System, minimax inequality      80
System, set-valued dynamic      554
Theorem, abstract economy      252
Theorem, Alexandroff — Pasynkoff      47 171
Theorem, Baire      19
Theorem, Ben-El-Mechaiekh, Deguire and Granas      61
Theorem, Berge's intersection      47
Theorem, Border      61
Theorem, Browder — Fan in product spaces      70
Theorem, Chan and Pang      326
Theorem, Chang et al.      221
Theorem, coincidence      3 69
Theorem, coincidence in product spaces      78
Theorem, Cubiotti      391
Theorem, Cubiotti and Yuan      392
Theorem, Deguire, Tan and Yuan      76
Theorem, Ding and Tan      85 150
Theorem, Eilenberg and Montgomery      141
Theorem, first separation      29
Theorem, fixed point in product spaces      77
Theorem, generalized game      252
Theorem, Gorniewicz      141
Theorem, Ha      101
Theorem, Hahn — Banach separation      29
Theorem, Horvath      46
Theorem, intersection      203
Theorem, intersection in hyperconvex spaces      168 171
Theorem, intersection without closed graphs      209
Theorem, Jing      131
Theorem, Kim      289 382
Theorem, Kindler      207
Theorem, Kirk et al.      163
Theorem, Komiya      102 534
Theorem, Llinares      185
Theorem, Luo et al.      130
Theorem, maximal element      65 68
Theorem, Mehta and Tarafdar      548
Theorem, Michael selection      312
Theorem, minimax      14 463
Theorem, mixed minimax      6 200
Theorem, one-person game      250
Theorem, Park      173
Theorem, Park and Bae      114
Theorem, qualitative game      250
Theorem, quantitative minimax      6 200
Theorem, second separation      29
Triangulation      42
Variational inequality, implicitly quasi-      440
Variational inequality, quasi-generalized      401
Variational inequality, theory      325
Variational inequality, topological      215
Vertices of the simplex $\Delta_{N}$       42
VI(T, D)-notation      351 356

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