Class information for:
Level 1: FITZPATRICK FUNCTION//ABSTRACT CONVEXITY//IRVING K BARBER

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10620 1048 20.1 36%


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
10620 1                   FITZPATRICK FUNCTION//ABSTRACT CONVEXITY//IRVING K BARBER 1048

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 FITZPATRICK FUNCTION authKW 1526771 5% 92% 57
2 ABSTRACT CONVEXITY authKW 863587 5% 60% 49
3 IRVING K BARBER address 648556 3% 70% 32
4 FENCHEL CONJUGATE authKW 521313 3% 62% 29
5 CONJUGATE FUNCTIONS authKW 498754 4% 40% 43
6 MONOTONIC ANALYSIS authKW 495299 2% 100% 17
7 STRONG CONICAL HULL INTERSECTION PROPERTY authKW 437029 1% 100% 15
8 RADIANT SET authKW 407893 1% 100% 14
9 JOURNAL OF CONVEX ANALYSIS journal 384044 10% 12% 106
10 MAXIMAL MONOTONE OPERATOR authKW 363340 7% 16% 76

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 30050 67% 0% 697
2 Operations Research & Management Science 17392 29% 0% 307
3 Mathematics 13335 49% 0% 511
4 Computer Science, Software Engineering 348 5% 0% 49
5 Social Sciences, Mathematical Methods 68 1% 0% 12
6 Computer Science, Cybernetics 18 0% 0% 5
7 Automation & Control Systems 7 1% 0% 10
8 Mathematics, Interdisciplinary Applications 6 1% 0% 11
9 Economics 4 2% 0% 18
10 Logic 0 0% 0% 1

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 IRVING K BARBER 648556 3% 70% 32
2 MAHANI MATH 110391 1% 32% 12
3 ECON HIST ECON 102467 3% 11% 32
4 CIAO 88783 1% 38% 8
5 UFR A SGRP AFA 87406 0% 100% 3
6 IK BARBER 58270 0% 100% 2
7 INFORMAT TECHNOL MATH SCI 57196 3% 7% 28
8 SITMS 56023 0% 38% 5
9 CARMA 44142 1% 13% 12
10 ECON HIST ECONOM 38846 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 JOURNAL OF CONVEX ANALYSIS 384044 10% 12% 106
2 SET-VALUED AND VARIATIONAL ANALYSIS 116942 3% 13% 32
3 SET-VALUED ANALYSIS 85830 3% 10% 31
4 LECTURE NOTES IN ECONOMICS AND MATHEMATICAL SYSTEMS 58547 6% 3% 61
5 SIAM JOURNAL ON OPTIMIZATION 42189 5% 3% 51
6 JOURNAL OF GLOBAL OPTIMIZATION 35546 5% 2% 52
7 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 32311 7% 1% 75
8 OPTIMIZATION 16666 1% 4% 13
9 MATHEMATICAL PROGRAMMING 15682 4% 1% 41
10 JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 15647 2% 3% 21

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 FITZPATRICK FUNCTION 1526771 5% 92% 57 Search FITZPATRICK+FUNCTION Search FITZPATRICK+FUNCTION
2 ABSTRACT CONVEXITY 863587 5% 60% 49 Search ABSTRACT+CONVEXITY Search ABSTRACT+CONVEXITY
3 FENCHEL CONJUGATE 521313 3% 62% 29 Search FENCHEL+CONJUGATE Search FENCHEL+CONJUGATE
4 CONJUGATE FUNCTIONS 498754 4% 40% 43 Search CONJUGATE+FUNCTIONS Search CONJUGATE+FUNCTIONS
5 MONOTONIC ANALYSIS 495299 2% 100% 17 Search MONOTONIC+ANALYSIS Search MONOTONIC+ANALYSIS
6 STRONG CONICAL HULL INTERSECTION PROPERTY 437029 1% 100% 15 Search STRONG+CONICAL+HULL+INTERSECTION+PROPERTY Search STRONG+CONICAL+HULL+INTERSECTION+PROPERTY
7 RADIANT SET 407893 1% 100% 14 Search RADIANT+SET Search RADIANT+SET
8 MAXIMAL MONOTONE OPERATOR 363340 7% 16% 76 Search MAXIMAL+MONOTONE+OPERATOR Search MAXIMAL+MONOTONE+OPERATOR
9 PROXIMAL AVERAGE 356903 1% 88% 14 Search PROXIMAL+AVERAGE Search PROXIMAL+AVERAGE
10 CUTTING ANGLE METHOD 328254 1% 87% 13 Search CUTTING+ANGLE+METHOD Search CUTTING+ANGLE+METHOD

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 (2008) INTRODUCTION.FROM HAHN-BANACH TO MONOTONICITY, 2ND EDITION. VOL. 1693. ISSUE . P. 1-238 41 91% 0
2 JEYAKUMAR, V , DINH, N , (2014) FARKAS' LEMMA: THREE DECADES OF GENERALIZATIONS FOR MATHEMATICAL OPTIMIZATION.TOP. VOL. 22. ISSUE 1. P. 1 -22 44 71% 2
3 FANG, DH , LI, C , NG, KF , (2009) CONSTRAINT QUALIFICATIONS FOR EXTENDED FARKAS'S LEMMAS AND LAGRANGIAN DUALITIES IN CONVEX INFINITE PROGRAMMING.SIAM JOURNAL ON OPTIMIZATION. VOL. 20. ISSUE 3. P. 1311 -1332 32 91% 29
4 FANG, DH , LI, C , NG, KF , (2010) CONSTRAINT QUALIFICATIONS FOR OPTIMALITY CONDITIONS AND TOTAL LAGRANGE DUALITIES IN CONVEX INFINITE PROGRAMMING.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 73. ISSUE 5. P. 1143 -1159 29 97% 19
5 LASZLO, S , (2014) ON THE STRONG REPRESENTABILITY OF THE GENERALIZED PARALLEL SUM.BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY. VOL. 37. ISSUE 4. P. 1029 -1046 27 100% 0
6 BAUSCHKE, HH , WANG, XF , YAO, LJ , (2010) AUTOCONJUGATE REPRESENTERS FOR LINEAR MONOTONE OPERATORS.MATHEMATICAL PROGRAMMING. VOL. 123. ISSUE 1. P. 5 -24 30 97% 5
7 FANG, DH , LEE, GM , LI, C , YAO, JC , (2013) EXTENDED FARKAS'S LEMMAS AND STRONG LAGRANGE DUALITIES FOR DC INFINITE PROGRAMMING.JOURNAL OF NONLINEAR AND CONVEX ANALYSIS. VOL. 14. ISSUE 4. P. 747-767 27 96% 7
8 LASZLO, S , BURJAN-MOSONI, B , (2012) ABOUT THE MAXIMAL MONOTONICITY OF THE GENERALIZED SUM OF TWO MAXIMAL MONOTONE OPERATORS.SET-VALUED AND VARIATIONAL ANALYSIS. VOL. 20. ISSUE 3. P. 355 -368 26 100% 0
9 LI, C , ZHAO, XP , HU, YH , (2013) QUASI-SLATER AND FARKAS-MINKOWSKI QUALIFICATIONS FOR SEMI-INFINITE PROGRAMMING WITH APPLICATIONS.SIAM JOURNAL ON OPTIMIZATION. VOL. 23. ISSUE 4. P. 2208-2230 26 93% 4
10 SUN, XK , GUO, XL , ZHANG, Y , (2015) FENCHEL-LAGRANGE DUALITY FOR DC PROGRAMS WITH COMPOSITE FUNCTIONS.JOURNAL OF NONLINEAR AND CONVEX ANALYSIS. VOL. 16. ISSUE 8. P. 1607 -1618 23 100% 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 20220 BORNOLOGY//WIJSMAN TOPOLOGY//ATTOUCH WETS CONVERGENCE
4 3266 METRIC REGULARITY//CODERIVATIVE//SUBDIFFERENTIAL
5 27905 QUASIDIFFERENTIAL CALCULUS//EXHAUSTERS//QUASIDIFFERENTIAL
6 6938 SYMMETRIC DUALITY//DUALITY THEOREMS//GENERALIZED CONVEXITY
7 17040 COMPLETELY POSITIVE MATRICES//COPOSITIVE MATRICES//COPOSITIVE PROGRAMMING
8 22378 HEAVY BALL WITH FRICTION//KURDYKA LOJASIEWICZ INEQUALITY//DISSIPATIVE DYNAMICAL SYSTEM
9 17758 BUNDLE METHODS//NONSMOOTH OPTIMIZATION//NONDIFFERENTIABLE OPTIMIZATION
10 12387 FRAGMENTABILITY//RENORMING//PROJECTIONAL SKELETON

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