Class information for:
Level 2: 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
2875 2863 20.6 34%


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
23995 1                   ITERATIVE ROOT//ITERATIVE FUNCTIONAL EQUATION//ITERATION SEMIGROUP 327
27398 1                   GOLAB SCHINZEL EQUATION//GOLAB SCHINZEL FUNCTIONAL EQUATION//UNIFORM CONVERGENCE THEOREM 230
31424 1                   SPECTRAL SYNTHESIS//FLETTS MEAN VALUE THEOREM//EXPONENTIAL MONOMIAL 153
32058 1                   SYST VNIISI//LOCALLY BOUNDED MAP//PURE PSEUDOREPRESENTATION 144
36355 1                   FRANKLS CONJECTURE//NESTED RECURSION//META FIBONACCI SEQUENCE 82

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 4356228 15% 97% 423
2 HYERS ULAM RASSIAS STABILITY authKW 1771143 6% 98% 170
3 GENERALIZED HYERS ULAM STABILITY authKW 982032 3% 97% 95
4 AEQUATIONES MATHEMATICAE journal 735656 6% 38% 182
5 FUNCTIONAL EQUATION authKW 688371 6% 35% 185
6 QUADRATIC FUNCTIONAL EQUATION authKW 651911 2% 96% 64
7 SUPERSTABILITY authKW 590689 2% 78% 71
8 SECT MATH INFORMAT address 537958 2% 86% 59
9 PEDAG EE address 394556 1% 100% 37
10 NON ARCHIMEDEAN NORMED SPACE authKW 363007 1% 85% 40

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 100252 80% 0% 2283
2 Mathematics, Applied 73835 63% 0% 1808
3 Computer Science, Theory & Methods 1675 7% 0% 208
4 Physics, Mathematical 159 3% 0% 80
5 Statistics & Probability 115 2% 0% 60
6 Mathematics, Interdisciplinary Applications 79 2% 0% 48
7 Psychology, Mathematical 4 0% 0% 4
8 Social Sciences, Mathematical Methods -0 0% 0% 4
9 Computer Science, Cybernetics -0 0% 0% 2
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 SECT MATH INFORMAT 537958 2% 86% 59
2 PEDAG EE 394556 1% 100% 37
3 MATH SECT 336923 4% 29% 108
4 CENAA 272977 1% 80% 32
5 SYST VNIISI 181282 1% 100% 17
6 MATH EDUC 101394 5% 6% 153
7 MATH 81010 62% 0% 1781
8 EXCELLENCE NONLINEAR ANAL PLICAT CENAA 58055 0% 78% 7
9 PEDAGOG EE 53318 0% 100% 5
10 TECH VOCAT TABRIZ 53318 0% 100% 5

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 735656 6% 38% 182
2 JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS 199703 6% 11% 167
3 PUBLICATIONES MATHEMATICAE-DEBRECEN 111090 5% 7% 142
4 JOURNAL OF INEQUALITIES AND APPLICATIONS 64052 5% 4% 141
5 RESULTS IN MATHEMATICS 33468 2% 7% 47
6 ABSTRACT AND APPLIED ANALYSIS 29713 4% 3% 111
7 ADVANCES IN DIFFERENCE EQUATIONS 28771 3% 4% 76
8 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 28044 8% 1% 236
9 FIXED POINT THEORY 22593 1% 7% 29
10 JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS 20881 1% 5% 39

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 4356228 15% 97% 423 Search HYERS+ULAM+STABILITY Search HYERS+ULAM+STABILITY
2 HYERS ULAM RASSIAS STABILITY 1771143 6% 98% 170 Search HYERS+ULAM+RASSIAS+STABILITY Search HYERS+ULAM+RASSIAS+STABILITY
3 GENERALIZED HYERS ULAM STABILITY 982032 3% 97% 95 Search GENERALIZED+HYERS+ULAM+STABILITY Search GENERALIZED+HYERS+ULAM+STABILITY
4 FUNCTIONAL EQUATION 688371 6% 35% 185 Search FUNCTIONAL+EQUATION Search FUNCTIONAL+EQUATION
5 QUADRATIC FUNCTIONAL EQUATION 651911 2% 96% 64 Search QUADRATIC+FUNCTIONAL+EQUATION Search QUADRATIC+FUNCTIONAL+EQUATION
6 SUPERSTABILITY 590689 2% 78% 71 Search SUPERSTABILITY Search SUPERSTABILITY
7 NON ARCHIMEDEAN NORMED SPACE 363007 1% 85% 40 Search NON+ARCHIMEDEAN+NORMED+SPACE Search NON+ARCHIMEDEAN+NORMED+SPACE
8 ADDITIVE FUNCTIONAL EQUATION 362565 1% 100% 34 Search ADDITIVE+FUNCTIONAL+EQUATION Search ADDITIVE+FUNCTIONAL+EQUATION
9 FIXED POINT METHOD 334110 2% 47% 66 Search FIXED+POINT+METHOD Search FIXED+POINT+METHOD
10 ITERATIVE ROOT 321161 1% 94% 32 Search ITERATIVE+ROOT Search ITERATIVE+ROOT

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. - 132 99% 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 47 96% 10
3 ZDUN, MC , SOLARZ, P , (2014) RECENT RESULTS ON ITERATION THEORY: ITERATION GROUPS AND SEMIGROUPS IN THE REAL CASE.AEQUATIONES MATHEMATICAE. VOL. 87. ISSUE 3. P. 201 -245 51 91% 4
4 BRZDEK, J , CADARIU, L , CIEPLINSKI, K , (2014) FIXED POINT THEORY AND THE ULAM STABILITY.JOURNAL OF FUNCTION SPACES. VOL. . ISSUE . P. - 47 90% 3
5 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
6 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
7 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
8 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
9 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
10 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

Classes with closest relation at Level 2


Rank Class id link
1 2302 FIXED POINT//COMMON FIXED POINT//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES
2 3156 STATISTICAL CONVERGENCE//ABSOLUTE SUMMABILITY//DOUBLE SEQUENCES
3 2881 PRIME RING//DERIVATION//GENERALIZED DERIVATION
4 3334 NEUTRIX LIMIT//COLOMBEAU ALGEBRA//BOEHMIANS
5 2523 GAMMA FUNCTION//HERMITE HADAMARD INEQUALITY//MATHEMATICAL INEQUALITIES & APPLICATIONS
6 1493 MATHEMATICS//ANAL MATEMAT//VECTOR MEASURE
7 4023 SUBNORMS//HYPERGROUPS//CONVENIENT SETTING
8 3377 LINEABILITY//SPACEABILITY//ALGEBRABILITY
9 631 C ALGEBRA//MATHEMATICS//JOURNAL OF OPERATOR THEORY
10 3652 LOEB MEASURE//LOCALLY CONVEX CONES//ULTRACOPRODUCT

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