Class information for:
Level 1: HYERS ULAM STABILITY//HYERS ULAM RASSIAS STABILITY//GENERALIZED HYERS ULAM STABILITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
3707 1927 23.0 39%


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
609 3       FIXED POINT//HYERS ULAM STABILITY//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES 14179
2875 2             HYERS ULAM STABILITY//HYERS ULAM RASSIAS STABILITY//GENERALIZED HYERS ULAM STABILITY 2863
3707 1                   HYERS ULAM STABILITY//HYERS ULAM RASSIAS STABILITY//GENERALIZED HYERS ULAM STABILITY 1927

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 HYERS ULAM STABILITY authKW 6230059 22% 95% 415
2 HYERS ULAM RASSIAS STABILITY authKW 2600732 9% 97% 169
3 GENERALIZED HYERS ULAM STABILITY authKW 1459125 5% 97% 95
4 QUADRATIC FUNCTIONAL EQUATION authKW 968625 3% 96% 64
5 SUPERSTABILITY authKW 805065 4% 75% 68
6 SECT MATH INFORMAT address 772449 3% 84% 58
7 PEDAG EE address 586239 2% 100% 37
8 NON ARCHIMEDEAN NORMED SPACE authKW 539369 2% 85% 40
9 ADDITIVE FUNCTIONAL EQUATION authKW 538706 2% 100% 34
10 FUNCTIONAL EQUATION authKW 505028 7% 25% 130

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 65108 78% 0% 1510
2 Mathematics, Applied 63986 71% 0% 1377
3 Computer Science, Theory & Methods 2537 11% 0% 203
4 Statistics & Probability 104 2% 0% 45
5 Physics, Mathematical 92 3% 0% 51
6 Mathematics, Interdisciplinary Applications 43 2% 0% 30
7 Computer Science, Cybernetics 0 0% 0% 2
8 Transportation -0 0% 0% 1
9 Transportation Science & Technology -1 0% 0% 1
10 Computer Science, Information Systems -2 0% 0% 8

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 SECT MATH INFORMAT 772449 3% 84% 58
2 PEDAG EE 586239 2% 100% 37
3 MATH SECT 500682 6% 29% 108
4 CENAA 405601 2% 80% 32
5 MATH EDUC 150792 8% 6% 153
6 EXCELLENCE NONLINEAR ANAL PLICAT CENAA 86260 0% 78% 7
7 PEDAGOG EE 79222 0% 100% 5
8 TECH VOCAT TABRIZ 79222 0% 100% 5
9 MATH 69593 70% 0% 1351
10 COMP HACKING INFORMAT SECUR 64692 0% 58% 7

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 AEQUATIONES MATHEMATICAE 297754 5% 20% 95
2 JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS 296867 9% 11% 167
3 JOURNAL OF INEQUALITIES AND APPLICATIONS 87351 7% 4% 135
4 ABSTRACT AND APPLIED ANALYSIS 38834 5% 2% 104
5 ADVANCES IN DIFFERENCE EQUATIONS 38423 4% 3% 72
6 PUBLICATIONES MATHEMATICAE-DEBRECEN 35615 3% 3% 66
7 FIXED POINT THEORY 33595 2% 7% 29
8 JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS 31062 2% 5% 39
9 RESULTS IN MATHEMATICS 29183 2% 5% 36
10 JOURNAL OF FUNCTION SPACES 27628 1% 7% 26

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 HYERS ULAM STABILITY 6230059 22% 95% 415 Search HYERS+ULAM+STABILITY Search HYERS+ULAM+STABILITY
2 HYERS ULAM RASSIAS STABILITY 2600732 9% 97% 169 Search HYERS+ULAM+RASSIAS+STABILITY Search HYERS+ULAM+RASSIAS+STABILITY
3 GENERALIZED HYERS ULAM STABILITY 1459125 5% 97% 95 Search GENERALIZED+HYERS+ULAM+STABILITY Search GENERALIZED+HYERS+ULAM+STABILITY
4 QUADRATIC FUNCTIONAL EQUATION 968625 3% 96% 64 Search QUADRATIC+FUNCTIONAL+EQUATION Search QUADRATIC+FUNCTIONAL+EQUATION
5 SUPERSTABILITY 805065 4% 75% 68 Search SUPERSTABILITY Search SUPERSTABILITY
6 NON ARCHIMEDEAN NORMED SPACE 539369 2% 85% 40 Search NON+ARCHIMEDEAN+NORMED+SPACE Search NON+ARCHIMEDEAN+NORMED+SPACE
7 ADDITIVE FUNCTIONAL EQUATION 538706 2% 100% 34 Search ADDITIVE+FUNCTIONAL+EQUATION Search ADDITIVE+FUNCTIONAL+EQUATION
8 FUNCTIONAL EQUATION 505028 7% 25% 130 Search FUNCTIONAL+EQUATION Search FUNCTIONAL+EQUATION
9 FIXED POINT METHOD 481529 3% 47% 65 Search FIXED+POINT+METHOD Search FIXED+POINT+METHOD
10 CUBIC FUNCTIONAL EQUATION 475329 2% 100% 30 Search CUBIC+FUNCTIONAL+EQUATION Search CUBIC+FUNCTIONAL+EQUATION

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 BRILLOUET-BELLUOT, N , BRZDEK, J , CIEPLINSKI, K , (2012) ON SOME RECENT DEVELOPMENTS IN ULAM'S TYPE STABILITY.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 121 90% 31
2 BRZDEK, J , FECHNER, W , MOSLEHIAN, MS , SIKORSKA, J , (2015) RECENT DEVELOPMENTS OF THE CONDITIONAL STABILITY OF THE HOMOMORPHISM EQUATION.BANACH JOURNAL OF MATHEMATICAL ANALYSIS. VOL. 9. ISSUE 3. P. 278 -326 45 92% 10
3 BRZDEK, J , CADARIU, L , CIEPLINSKI, K , (2014) FIXED POINT THEORY AND THE ULAM STABILITY.JOURNAL OF FUNCTION SPACES. VOL. . ISSUE . P. - 47 90% 3
4 GHAEMI, MB , MAJANI, H , GORDJI, ME , (2012) APPROXIMATELY QUINTIC AND SEXTIC MAPPINGS ON THE PROBABILISTIC NORMED SPACES.BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY. VOL. 49. ISSUE 2. P. 339 -352 44 100% 2
5 ALSULAMI, HH , KENARI, HM , O'REGAN, D , SAADATI, R , (2015) MULTI-C*-TERNARY ALGEBRAS AND APPLICATIONS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 40 93% 1
6 KIM, MJ , SCHIN, SW , KI, D , CHANG, J , KIM, JH , (2011) FIXED POINTS AND RANDOM STABILITY OF A GENERALIZED APOLLONIUS TYPE QUADRATIC FUNCTIONAL EQUATION.FIXED POINT THEORY AND APPLICATIONS. VOL. . ISSUE . P. - 41 100% 0
7 PARK, C , SHIN, DY , LEE, JR , (2015) FUZZY STABILITY OF FUNCTIONAL EQUATIONS IN MATRIX FUZZY NORMED SPACES.JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS. VOL. 18. ISSUE 6. P. 1089 -1101 39 95% 0
8 XU, B , BRZDEK, J , ZHANG, WN , (2015) FIXED-POINT RESULTS AND THE HYERS-ULAM STABILITY OF LINEAR EQUATIONS OF HIGHER ORDERS.PACIFIC JOURNAL OF MATHEMATICS. VOL. 273. ISSUE 2. P. 483 -498 36 97% 3
9 VAHIDI, J , PARK, C , SAADATI, R , (2012) A FUNCTIONAL EQUATION RELATED TO INNER PRODUCT SPACES IN NON-ARCHIMEDEAN L-RANDOM NORMED SPACES.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 40 98% 2
10 PARK, C , CHO, YJ , SAADATI, R , (2013) APPROXIMATION OF LINEAR MAPPINGS IN BANACH MODULES OVER C*-ALGEBRAS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 38 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 31424 SPECTRAL SYNTHESIS//FLETTS MEAN VALUE THEOREM//EXPONENTIAL MONOMIAL
2 25949 ISOMETRIC EXTENSION//MAZUR ULAM THEOREM//EPSILON ISOMETRY
3 32058 SYST VNIISI//LOCALLY BOUNDED MAP//PURE PSEUDOREPRESENTATION
4 27398 GOLAB SCHINZEL EQUATION//GOLAB SCHINZEL FUNCTIONAL EQUATION//UNIFORM CONVERGENCE THEOREM
5 26119 HERMITE HEAT EQUATION//S CONVOLUTION//MEHLER KERNEL
6 26148 ORTHOGONALITY PRESERVING MAPPINGS//DUNKL WILLIAMS INEQUALITY//APPROXIMATE ORTHOGONALITY
7 20957 LEBESGUE TYPE DECOMPOSITION//NONNEGATIVE SESQUILINEAR FORMS//ALMOST DOMINATED PART
8 32309 PICARD OPERATOR//STEP METHOD//FIBRE CONTRACTION PRINCIPLE
9 23995 ITERATIVE ROOT//ITERATIVE FUNCTIONAL EQUATION//ITERATION SEMIGROUP
10 473 FIXED POINT//COMMON FIXED POINT//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES

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