Class information for:
Level 1: METRIC REGULARITY//CODERIVATIVE//SUBDIFFERENTIAL

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
3266 2025 23.1 42%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
446 3       MATHEMATICS, APPLIED//JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS//GLOBAL CONVERGENCE 26149
114 2             MATHEMATICS, APPLIED//JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS//GLOBAL CONVERGENCE 25008
3266 1                   METRIC REGULARITY//CODERIVATIVE//SUBDIFFERENTIAL 2025

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 METRIC REGULARITY authKW 1568089 6% 79% 131
2 CODERIVATIVE authKW 956383 4% 77% 82
3 SUBDIFFERENTIAL authKW 634903 8% 27% 154
4 VARIATIONAL ANALYSIS authKW 615280 6% 35% 115
5 CALMNESS authKW 585384 3% 63% 62
6 GENERALIZED DIFFERENTIATION authKW 579057 3% 59% 65
7 GENERALIZED EQUATION authKW 453525 3% 53% 57
8 NONSMOOTH ANALYSIS authKW 343476 5% 24% 95
9 WEAK SHARP MINIMA authKW 308848 1% 79% 26
10 METRIC SUBREGULARITY authKW 277042 1% 88% 21

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 Mathematics, Applied 67332 72% 0% 1448
2 Operations Research & Management Science 33124 29% 0% 589
3 Mathematics 18637 42% 0% 845
4 Computer Science, Software Engineering 1379 6% 0% 131
5 Automation & Control Systems 674 4% 0% 84
6 Computer Science, Cybernetics 590 2% 0% 34
7 COMPUTER APPLICATIONS & CYBERNETICS 354 0% 0% 8
8 Social Sciences, Mathematical Methods 83 1% 0% 19
9 Multidisciplinary Sciences 73 1% 0% 26
10 Computer Science, Theory & Methods 12 1% 0% 28

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 INFORMAT PL OPTIMIZAT 88582 1% 24% 24
2 AOC 75756 1% 36% 14
3 MANO 61560 0% 58% 7
4 ANAL CONVEXE 58145 0% 43% 9
5 CNRS UP A 5033 45232 0% 100% 3
6 ANAL OPTIMISAT CONTROLE 33923 0% 75% 3
7 CNRS 5584 30155 0% 100% 2
8 UP 5033 30155 0% 100% 2
9 REAR SERV OFF 27137 0% 60% 3
10 ANALYSE OPTIMISAT CONTROLE 20102 0% 67% 2

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 SIAM JOURNAL ON OPTIMIZATION 153091 7% 8% 135
2 SET-VALUED ANALYSIS 144946 3% 17% 56
3 SET-VALUED AND VARIATIONAL ANALYSIS 136151 2% 19% 48
4 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 77094 8% 3% 161
5 MATHEMATICAL PROGRAMMING 70816 6% 4% 121
6 JOURNAL OF CONVEX ANALYSIS 59423 3% 7% 58
7 LECTURE NOTES IN ECONOMICS AND MATHEMATICAL SYSTEMS 43338 4% 4% 73
8 MATHEMATICS OF OPERATIONS RESEARCH 38009 3% 4% 69
9 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 36029 8% 1% 170
10 MATHEMATICAL PROGRAMMING STUDY 30751 1% 9% 22

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 METRIC REGULARITY 1568089 6% 79% 131 Search METRIC+REGULARITY Search METRIC+REGULARITY
2 CODERIVATIVE 956383 4% 77% 82 Search CODERIVATIVE Search CODERIVATIVE
3 SUBDIFFERENTIAL 634903 8% 27% 154 Search SUBDIFFERENTIAL Search SUBDIFFERENTIAL
4 VARIATIONAL ANALYSIS 615280 6% 35% 115 Search VARIATIONAL+ANALYSIS Search VARIATIONAL+ANALYSIS
5 CALMNESS 585384 3% 63% 62 Search CALMNESS Search CALMNESS
6 GENERALIZED DIFFERENTIATION 579057 3% 59% 65 Search GENERALIZED+DIFFERENTIATION Search GENERALIZED+DIFFERENTIATION
7 GENERALIZED EQUATION 453525 3% 53% 57 Search GENERALIZED+EQUATION Search GENERALIZED+EQUATION
8 NONSMOOTH ANALYSIS 343476 5% 24% 95 Search NONSMOOTH+ANALYSIS Search NONSMOOTH+ANALYSIS
9 WEAK SHARP MINIMA 308848 1% 79% 26 Search WEAK+SHARP+MINIMA Search WEAK+SHARP+MINIMA
10 METRIC SUBREGULARITY 277042 1% 88% 21 Search METRIC+SUBREGULARITY Search METRIC+SUBREGULARITY

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 KRUGER, AY , (2015) ERROR BOUNDS AND METRIC SUBREGULARITY.OPTIMIZATION. VOL. 64. ISSUE 1. P. 49 -79 47 92% 7
2 BORWEIN, JM , ZHU, QJJ , (1999) A SURVEY OF SUBDIFFERENTIAL CALCULUS WITH APPLICATIONS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 38. ISSUE 6. P. 687 -773 80 72% 62
3 DUREA, M , HUYNH, VN , NGUYEN, HT , STRUGARIU, R , (2014) METRIC REGULARITY OF COMPOSITION SET-VALUED MAPPINGS: METRIC SETTING AND CODERIVATIVE CONDITIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 412. ISSUE 1. P. 41 -62 41 100% 2
4 KHANH, PQ , KRUGER, AY , THAO, NH , (2015) AN INDUCTION THEOREM AND NONLINEAR REGULARITY MODELS.SIAM JOURNAL ON OPTIMIZATION. VOL. 25. ISSUE 4. P. 2561 -2588 41 95% 2
5 KRUGER, AY , (2016) NONLINEAR METRIC SUBREGULARITY.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. VOL. 171. ISSUE 3. P. 820 -855 33 100% 1
6 IOFFE, AD , (2016) METRIC REGULARITY-A SURVEY PART 1. THEORY.JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 101. ISSUE 2. P. 188 -243 38 88% 0
7 IOFFE, AD , (2012) ON THE THEORY OF SUBDIFFERENTIALS.ADVANCES IN NONLINEAR ANALYSIS. VOL. 1. ISSUE 1. P. 47-120 35 95% 12
8 KRUGER, AY , (2015) ERROR BOUNDS AND HOLDER METRIC SUBREGULARITY.SET-VALUED AND VARIATIONAL ANALYSIS. VOL. 23. ISSUE 4. P. 705 -736 36 86% 3
9 IOFFE, AD , (2016) METRIC REGULARITY-A SURVEY PART II. APPLICATIONS.JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 101. ISSUE 3. P. 376 -417 40 77% 0
10 NGAI, HV , PENOT, JP , (2016) SUBDIFFERENTIATION OF REGULARIZED FUNCTIONS.SET-VALUED AND VARIATIONAL ANALYSIS. VOL. 24. ISSUE 1. P. 167 -189 38 81% 0

Classes with closest relation at Level 1


Rank Class id link
1 8188 VECTOR OPTIMIZATION//SET VALUED OPTIMIZATION//SET OPTIMIZATION
2 16373 SEMI INFINITE PROGRAMMING//LINEAR INEQUALITY SYSTEMS//LINEAR SEMI INFINITE PROGRAMMING
3 31974 P REGULARITY//ABNORMAL POINT//P FACTOR OPERATOR
4 8000 NONLINEAR COMPLEMENTARITY PROBLEM//MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS//GLOBAL CONVERGENCE
5 28474 HAAR NULL//MONOTONE METRIC SPACE//TYPICAL CONTINUOUS FUNCTION
6 27905 QUASIDIFFERENTIAL CALCULUS//EXHAUSTERS//QUASIDIFFERENTIAL
7 19397 NORMAL NECESSARY CONDITIONS//DISCRETE APPROXIMATIONS//MIXED CONSTRAINTS
8 10620 FITZPATRICK FUNCTION//ABSTRACT CONVEXITY//IRVING K BARBER
9 17758 BUNDLE METHODS//NONSMOOTH OPTIMIZATION//NONDIFFERENTIABLE OPTIMIZATION
10 6938 SYMMETRIC DUALITY//DUALITY THEOREMS//GENERALIZED CONVEXITY

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