Class information for:
Level 1: RANDOM FIXED POINT//RANDOM OPERATOR//RANDOM COINCIDENCE POINT

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
19373 508 17.1 30%



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
460 3       POSITIVE SOLUTION//MATHEMATICS, APPLIED//DIFFERENCE EQUATIONS 24500
905 2             POSITIVE SOLUTION//PERIODIC SOLUTION//FIXED POINT INDEX 11262
19373 1                   RANDOM FIXED POINT//RANDOM OPERATOR//RANDOM COINCIDENCE POINT 508

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 RANDOM FIXED POINT authKW 1790262 9% 68% 44
2 RANDOM OPERATOR authKW 631112 4% 50% 21
3 RANDOM COINCIDENCE POINT authKW 347761 2% 64% 9
4 D ESSENTIAL authKW 300539 1% 100% 5
5 SEMI CLOSED 1 SET CONTRACTIVE OPERATOR authKW 300539 1% 100% 5
6 WEAKLY INWARD authKW 295910 2% 62% 8
7 COMPACT RESOLVENT authKW 270477 2% 50% 9
8 M ACCRETIVE OPERATOR authKW 260061 3% 29% 15
9 RANDOM MULTIVALUED OPERATOR authKW 240432 1% 100% 4
10 1 SET CONTRACTIVE MAP authKW 214668 1% 71% 5

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 17830 73% 0% 373
2 Mathematics 16287 76% 0% 388
3 Statistics & Probability 198 5% 0% 27
4 Computer Science, Software Engineering 11 2% 0% 8
5 Computer Science, Interdisciplinary Applications 6 2% 0% 8
6 Multidisciplinary Sciences 2 1% 0% 3
7 Cell & Tissue Engineering 1 0% 0% 1
8 Computer Science, Cybernetics 1 0% 0% 1
9 Computer Science, Theory & Methods 0 1% 0% 4
10 Mechanics 0 1% 0% 6

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 MATH INRIA LORRAINE 90159 1% 50% 3
2 INVEST MODELAMIENTO FENOMENOS ALATORIOS VAL 60108 0% 100% 1
3 MATH STAT PL MATH 17641 2% 2% 12
4 INVEST MODELAMIENTO FENOMENOS ALEATORIOS 12020 0% 20% 1
5 ADV STUDIES MATH 11579 1% 5% 4
6 AUDER NONLINEAR STUDIES 8585 0% 14% 1
7 MATH 7359 45% 0% 228
8 ADV STUDIES PURE PL MATH 7116 1% 3% 4
9 ANAL ESTOCAST 5007 0% 8% 1
10 PROJET CORIDA 4622 0% 8% 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 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 36073 17% 1% 85
2 ABEL SYMPOSIA 14893 3% 2% 16
3 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 14403 14% 0% 71
4 APPLIED MATHEMATICS LETTERS 8903 6% 1% 28
5 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 5422 8% 0% 39
6 PITMAN RESEARCH NOTES IN MATHEMATICS SERIES 3856 2% 1% 10
7 JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 3582 1% 1% 7
8 DYNAMIC SYSTEMS AND APPLICATIONS 3428 1% 1% 6
9 INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS 2434 2% 0% 11
10 JOURNAL OF INTEGRAL EQUATIONS 1804 0% 2% 2

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 RANDOM FIXED POINT 1790262 9% 68% 44 Search RANDOM+FIXED+POINT Search RANDOM+FIXED+POINT
2 RANDOM OPERATOR 631112 4% 50% 21 Search RANDOM+OPERATOR Search RANDOM+OPERATOR
3 RANDOM COINCIDENCE POINT 347761 2% 64% 9 Search RANDOM+COINCIDENCE+POINT Search RANDOM+COINCIDENCE+POINT
4 D ESSENTIAL 300539 1% 100% 5 Search D+ESSENTIAL Search D+ESSENTIAL
5 SEMI CLOSED 1 SET CONTRACTIVE OPERATOR 300539 1% 100% 5 Search SEMI+CLOSED+1+SET+CONTRACTIVE+OPERATOR Search SEMI+CLOSED+1+SET+CONTRACTIVE+OPERATOR
6 WEAKLY INWARD 295910 2% 62% 8 Search WEAKLY+INWARD Search WEAKLY+INWARD
7 COMPACT RESOLVENT 270477 2% 50% 9 Search COMPACT+RESOLVENT Search COMPACT+RESOLVENT
8 M ACCRETIVE OPERATOR 260061 3% 29% 15 Search M+ACCRETIVE+OPERATOR Search M+ACCRETIVE+OPERATOR
9 RANDOM MULTIVALUED OPERATOR 240432 1% 100% 4 Search RANDOM+MULTIVALUED+OPERATOR Search RANDOM+MULTIVALUED+OPERATOR
10 1 SET CONTRACTIVE MAP 214668 1% 71% 5 Search 1+SET+CONTRACTIVE+MAP Search 1+SET+CONTRACTIVE+MAP

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 BEG, I , KHAN, AR , HUSSAIN, N , (2004) APPROXIMATION OF *-NONEXPANSIVE RANDOM MULTIVALUED OPERATORS ON BANACH SPACES.JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 76. ISSUE . P. 51-66 16 100% 8
2 ARUNCHAI, A , PLUBTIENG, S , (2013) RANDOM FIXED POINT THEOREM OF KRASNOSELSKII TYPE FOR THE SUM OF TWO OPERATORS.FIXED POINT THEORY AND APPLICATIONS. VOL. . ISSUE . P. - 15 83% 2
3 KONG, DZ , LIU, LS , WU, YH , (2014) BEST APPROXIMATION AND FIXED-POINT THEOREMS FOR DISCONTINUOUS INCREASING MAPS IN BANACH LATTICES.FIXED POINT THEORY AND APPLICATIONS. VOL. . ISSUE . P. - 14 82% 0
4 FIERRO, R , MARTINEZ, C , ORELLANA, E , (2011) WEAK CONDITIONS FOR EXISTENCE OF RANDOM FIXED POINTS.FIXED POINT THEORY. VOL. 12. ISSUE 1. P. 83 -90 13 93% 1
5 DUAN, HG , XU, SY , LI, GZ , (2008) FIXED POINTS OF WEAKLY INWARD 1-SET-CONTRACTION MAPPINGS.JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY. VOL. 45. ISSUE 6. P. 1725-1740 13 100% 2
6 SHAHZAD, N , LATIF, S , (2003) ON RANDOM APPROXIMATIONS AND RANDOM FIXED POINT THEOREMS FOR 1-SET-CONTRACTIVE RANDOM MAPS.STOCHASTIC ANALYSIS AND APPLICATIONS. VOL. 21. ISSUE 4. P. 895-908 15 94% 1
7 KARTSATOS, AG , (1998) ON THE CONNECTION BETWEEN THE EXISTENCE OF ZEROS AND THE ASYMPTOTIC BEHAVIOR OF RESOLVENTS OF MAXIMAL MONOTONE OPERATORS IN REFLEXIVE BANACH SPACES.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 350. ISSUE 10. P. 3967-3987 20 80% 8
8 YIN, JD , LIU, ZD , (2015) RANDOM FIXED POINT THEOREMS OF RANDOM COMPARABLE OPERATORS AND AN APPLICATION.DISCRETE DYNAMICS IN NATURE AND SOCIETY. VOL. . ISSUE . P. - 10 100% 0
9 LIU, LS , KONG, DZ , WU, YH , (2015) THE BEST APPROXIMATION THEOREMS AND VARIATIONAL INEQUALITIES FOR DISCONTINUOUS MAPPINGS IN BANACH SPACES.SCIENCE CHINA-MATHEMATICS. VOL. 58. ISSUE 12. P. 2581 -2592 12 80% 0
10 IBRAHIMOU, B , KARTSATOS, AG , (2009) THE LERAY-SCHAUDER APPROACH TO THE DEGREE THEORY FOR (S+) -PERTURBATIONS OF MAXIMAL MONOTONE OPERATORS IN SEPARABLE REFLEXIVE BANACH SPACES.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 70. ISSUE 12. P. 4350-4368 11 100% 1

Classes with closest relation at Level 1



Rank Class id link
1 18863 MEASURE OF NONCOMPACTNESS//QUADRATIC INTEGRAL EQUATION//FUNCTIONAL INTEGRAL EQUATION
2 16561 EQUIVARIANT DEGREE//INDEX BUNDLE//BOUNDING FUNCTIONS
3 28059 NONZERO SOLUTION//MULTIPARAMETER VARIATIONAL INEQUALITY//FIXED POINT INDEX OF MULTIVALUED MAPPINGS
4 2059 MINIMAX INEQUALITY//VECTOR VARIATIONAL INEQUALITY//VECTOR EQUILIBRIUM PROBLEM
5 24581 MINIMAL DISPLACEMENT//MORSE SARD THEOREM//C 1 SMOOTH FUNCTION
6 14605 SWEEPING PROCESS//DIFFERENTIAL INCLUSIONS//CONTINUOUS SELECTOR
7 27560 UNITE PHYS DISPOSITIFS SEMICOND//UPDS//BOUBAKER POLYNOMIALS
8 473 FIXED POINT//COMMON FIXED POINT//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES
9 22267 DISCONTINUOUS SELECTIONS//IMPLICIT ELLIPTIC EQUATIONS//DISCONTINUOUS DIFFERENTIAL EQUATIONS
10 9177 JAMES CONSTANT//NORMAL STRUCTURE//FIXED POINT PROPERTY

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