Class information for:
Level 1: SYMMETRIC DUALITY//DUALITY THEOREMS//GENERALIZED CONVEXITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
6938 1426 17.8 46%


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
6938 1                   SYMMETRIC DUALITY//DUALITY THEOREMS//GENERALIZED CONVEXITY 1426

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 SYMMETRIC DUALITY authKW 877877 3% 100% 41
2 DUALITY THEOREMS authKW 829162 3% 79% 49
3 GENERALIZED CONVEXITY authKW 770722 6% 43% 84
4 EFFICIENT SOLUTION authKW 723960 6% 38% 88
5 INVEXITY authKW 713707 3% 83% 40
6 MULTIOBJECTIVE PROGRAMMING authKW 645583 7% 32% 94
7 SECOND ORDER DUALITY authKW 599525 2% 100% 28
8 INVEX FUNCTIONS authKW 477933 2% 89% 25
9 PSEUDOINVEXITY authKW 471946 2% 96% 23
10 MULTIOBJECTIVE FRACTIONAL PROGRAMMING authKW 411094 2% 80% 24

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 48113 72% 0% 1027
2 Operations Research & Management Science 36064 36% 0% 514
3 Mathematics 10424 37% 0% 533
4 Computer Science, Software Engineering 143 3% 0% 40
5 Statistics & Probability 139 3% 0% 42
6 Computer Science, Cybernetics 111 1% 0% 13
7 Mathematics, Interdisciplinary Applications 73 2% 0% 30
8 Automation & Control Systems 33 1% 0% 20
9 Engineering, General 12 1% 0% 18
10 Social Sciences, Mathematical Methods 11 0% 0% 7

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 SCI JURIDUQUES ECON SOCIALES 64235 0% 100% 3
2 MATH STAT C SC 42823 0% 100% 2
3 CIENCIAS SOCIALES COMUNICAC 41513 1% 24% 8
4 AG ANDERSON MANAGEMENT 29965 0% 20% 7
5 ECON METODOS CUANTITAT H ECON 28547 0% 67% 2
6 DAULAT RAM 28539 0% 22% 6
7 BASIC SCI HUMANITIES 24769 2% 5% 24
8 FREE MAJOR 24084 0% 38% 3
9 SATYAWATI 24084 0% 38% 3
10 AREA ESTAD INVEST OPERAT 21412 0% 100% 1

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 OPTIMIZATION THEORY AND APPLICATIONS 95126 11% 3% 150
2 OPTIMIZATION LETTERS 43368 3% 5% 44
3 JOURNAL OF GLOBAL OPTIMIZATION 43362 5% 3% 67
4 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 40716 14% 1% 200
5 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 23123 3% 2% 45
6 JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 20443 2% 3% 28
7 ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH 19375 2% 3% 28
8 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS 13842 1% 3% 20
9 INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS 12071 3% 1% 41
10 MATHEMATICAL REPORTS 11230 1% 4% 12

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 SYMMETRIC DUALITY 877877 3% 100% 41 Search SYMMETRIC+DUALITY Search SYMMETRIC+DUALITY
2 DUALITY THEOREMS 829162 3% 79% 49 Search DUALITY+THEOREMS Search DUALITY+THEOREMS
3 GENERALIZED CONVEXITY 770722 6% 43% 84 Search GENERALIZED+CONVEXITY Search GENERALIZED+CONVEXITY
4 EFFICIENT SOLUTION 723960 6% 38% 88 Search EFFICIENT+SOLUTION Search EFFICIENT+SOLUTION
5 INVEXITY 713707 3% 83% 40 Search INVEXITY Search INVEXITY
6 MULTIOBJECTIVE PROGRAMMING 645583 7% 32% 94 Search MULTIOBJECTIVE+PROGRAMMING Search MULTIOBJECTIVE+PROGRAMMING
7 SECOND ORDER DUALITY 599525 2% 100% 28 Search SECOND+ORDER+DUALITY Search SECOND+ORDER+DUALITY
8 INVEX FUNCTIONS 477933 2% 89% 25 Search INVEX+FUNCTIONS Search INVEX+FUNCTIONS
9 PSEUDOINVEXITY 471946 2% 96% 23 Search PSEUDOINVEXITY Search PSEUDOINVEXITY
10 MULTIOBJECTIVE FRACTIONAL PROGRAMMING 411094 2% 80% 24 Search MULTIOBJECTIVE+FRACTIONAL+PROGRAMMING Search MULTIOBJECTIVE+FRACTIONAL+PROGRAMMING

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 ZALINESCU, C , (2016) ON SECOND-ORDER GENERALIZED CONVEXITY.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. VOL. 168. ISSUE 3. P. 802 -829 39 98% 0
2 ZALMAI, GJ , (2013) SECOND-ORDER PARAMETER-FREE DUALITY MODELS IN SEMI-INFINITE MINMAX FRACTIONAL PROGRAMMING.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. VOL. 34. ISSUE 11. P. 1265 -1298 38 100% 1
3 LUR, YY , HO, WH , LU, TH , WEN, CF , (2014) APPROXIMATE SOLUTIONS FOR CONTINUOUS-TIME QUADRATIC FRACTIONAL PROGRAMMING PROBLEMS.TAIWANESE JOURNAL OF MATHEMATICS. VOL. 18. ISSUE 6. P. 1791 -1826 25 96% 0
4 WEN, CF , WU, HC , (2012) USING THE PARAMETRIC APPROACH TO SOLVE THE CONTINUOUS-TIME LINEAR FRACTIONAL MAX-MIN PROBLEMS.JOURNAL OF GLOBAL OPTIMIZATION. VOL. 54. ISSUE 1. P. 129-153 25 96% 1
5 LIU, XL , YUAN, DH , (2012) ON SEMI-(B, G)-PREINVEX FUNCTIONS.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 24 100% 1
6 WEN, CF , LUR, YY , LU, TH , (2012) CONTINUOUS-TIME QUADRATIC PROGRAMMING PROBLEMS: APPROXIMATE SOLUTIONS AND ERROR ESTIMATION.TAIWANESE JOURNAL OF MATHEMATICS. VOL. 16. ISSUE 2. P. 579-604 25 96% 0
7 MISHRA, SK , JAISWAL, M , PANKAJ , (2012) OPTIMALITY CONDITIONS FOR MULTIPLE OBJECTIVE FRACTIONAL SUBSET PROGRAMMING WITH (RHO,SIGMA,THETA)-TYPE-I AND RELATED NON-CONVEX FUNCTIONS.CALCOLO. VOL. 49. ISSUE 3. P. 177-192 24 100% 0
8 GUPTA, SK , KAILEY, N , KUMAR, S , (2012) DUALITY FOR NONDIFFERENTIABLE MULTIOBJECTIVE HIGHER-ORDER SYMMETRIC PROGRAMS OVER CONES INVOLVING GENERALIZED (F, ALPHA, RHO, D)-CONVEXITY.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 24 100% 0
9 SOLEIMANI-DAMANEH, M , (2010) NONSMOOTH OPTIMIZATION USING MORDUKHOVICH'S SUBDIFFERENTIAL.SIAM JOURNAL ON CONTROL AND OPTIMIZATION. VOL. 48. ISSUE 5. P. 3403-3432 25 93% 22
10 SLIMANI, H , RADJEF, MS , (2015) FRITZ JOHN TYPE OPTIMALITY AND DUALITY IN NONLINEAR PROGRAMMING UNDER WEAK PSEUDO-INVEXITY.RAIRO-OPERATIONS RESEARCH. VOL. 49. ISSUE 3. P. 451 -472 22 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 8188 VECTOR OPTIMIZATION//SET VALUED OPTIMIZATION//SET OPTIMIZATION
2 31537 MULTITIME MAXIMUM PRINCIPLE//MATH INFORMAT 1//BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS
3 23850 HADAMARD MANIFOLD//RIEMANNIAN OPTIMIZATION//MONOTONE VECTOR FIELDS
4 3266 METRIC REGULARITY//CODERIVATIVE//SUBDIFFERENTIAL
5 10620 FITZPATRICK FUNCTION//ABSTRACT CONVEXITY//IRVING K BARBER
6 16373 SEMI INFINITE PROGRAMMING//LINEAR INEQUALITY SYSTEMS//LINEAR SEMI INFINITE PROGRAMMING
7 24371 MATRIX CLASSES//ROUGH CONVEXITY//LINEAR COMPLEMENTARITY PROBLEM
8 2059 MINIMAX INEQUALITY//VECTOR VARIATIONAL INEQUALITY//VECTOR EQUILIBRIUM PROBLEM
9 11293 HERMITE HADAMARD INEQUALITY//OSTROWSKI INEQUALITY//OSTROWSKI TYPE INEQUALITY
10 31974 P REGULARITY//ABNORMAL POINT//P FACTOR OPERATOR

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