We investigate the stability of the functional equation f(x + y + z + w) + 2f(x) + 2f(y) + 2f(z) + 2f(w) ¡ f(x + y)¡ f(x + z) ¡ f(x + w) ¡ f(y + z) ¡ f(y + w) ¡ f(z + w) = 0by using a fixed point theorem in the sense of L. C¸adariu and V. Radu.
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https://www.riss.kr/link?id=A103864486
2011
English
KCI등재,ESCI
학술저널
313-328(16쪽)
3
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
We investigate the stability of the functional equation f(x + y + z + w) + 2f(x) + 2f(y) + 2f(z) + 2f(w) ¡ f(x + y)¡ f(x + z) ¡ f(x + w) ¡ f(y + z) ¡ f(y + w) ¡ f(z + w) = 0by using a fixed point theorem in the sense of L. C¸adariu and V. Radu.
We investigate the stability of the functional equation f(x + y + z + w) + 2f(x) + 2f(y) + 2f(z) + 2f(w) ¡ f(x + y)¡ f(x + z) ¡ f(x + w) ¡ f(y + z) ¡ f(y + w) ¡ f(z + w) = 0by using a fixed point theorem in the sense of L. C¸adariu and V. Radu.
참고문헌 (Reference)
1 P. Gavruta, "generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings" 184 : 431-436, 1994
2 Y.-H. Lee, "generalization of the Hyers-Ulam-Rassias stability of Jensen's equation" 238 : 305-315, 1999
3 I.A. Rus, "Principles and applications of fixed point theory" Cluj-Napoca 1979
4 H.-M. Kim, "On the stability problem for a mixed type of quartic and quadratic func- tional equation" 324 : 358-372, 2006
5 이양희, "On the stability of the monomial functional equation" 대한수학회 45 (45): 397-403, 2008
6 T. Aoki:, "On the stability of the linear transformation in Banach spaces" 2 : 64-66, 1950
7 Th. M. Rassias, "On the stability of the linear mapping in Banach spaces" 297-300, 1978
8 D. H. Hyers, "On the stability of the linear functional equation" 222-224, 1941
9 L. Cadariu, "On the stability of the Cauchy functional equation: a fixed point approach in Iteration Theory. Grazer Mathematische Berichte, Karl-Franzens-UniversitÄaet" 346 : 43-52, 2004
10 G.-H. Kim, "On the stability of functional equations with square-symmetric operation" 4 : 257-266, 2001
1 P. Gavruta, "generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings" 184 : 431-436, 1994
2 Y.-H. Lee, "generalization of the Hyers-Ulam-Rassias stability of Jensen's equation" 238 : 305-315, 1999
3 I.A. Rus, "Principles and applications of fixed point theory" Cluj-Napoca 1979
4 H.-M. Kim, "On the stability problem for a mixed type of quartic and quadratic func- tional equation" 324 : 358-372, 2006
5 이양희, "On the stability of the monomial functional equation" 대한수학회 45 (45): 397-403, 2008
6 T. Aoki:, "On the stability of the linear transformation in Banach spaces" 2 : 64-66, 1950
7 Th. M. Rassias, "On the stability of the linear mapping in Banach spaces" 297-300, 1978
8 D. H. Hyers, "On the stability of the linear functional equation" 222-224, 1941
9 L. Cadariu, "On the stability of the Cauchy functional equation: a fixed point approach in Iteration Theory. Grazer Mathematische Berichte, Karl-Franzens-UniversitÄaet" 346 : 43-52, 2004
10 G.-H. Kim, "On the stability of functional equations with square-symmetric operation" 4 : 257-266, 2001
11 Y.-H. Lee, "On the stability of approximately additive mappings" 1361-1369, 2000
12 I.-S. Chang, "On Hyers-Ulam-Rassias stability of a quadratic functional equation" 6 : 87-95, 2003
13 L. Cadariu, "Fixed points and the stability of quadratic functional equations" 41 : 25-48, 2003
14 L. Cadariu, "Fixed points and the stability of Jensen's functional equation" 4 (4): 2003
15 B. Margolis, "Afixed point theorem of the alternative for contractions on a generalized complete metric space" 74 : 305-309, 1968
16 Y.-H. Lee, "A note on the Hyers-Ulam-Rassias stability of Pexider equation" 37 : 111-124, 2000
17 Y.-H. Lee, "A generalization of the Hyers-Ulam-Rassias stability of Pexider equation" 246 : 627-638, 2000
18 S.M. Ulam, "A collection of mathematical problems" Interscience 63-, 1968
THE AXIOM OF INDEFINITE SURFACES IN SEMI-RIEMANNIAN MANIFOLDS
h-STABILITY OF PERTURBED DIFFERENTIAL SYSTEMS
SOME RESULTS ON MONOGENIC (R; S)-GROUPS
SURFACES WITH POINTWISE 1-TYPE GAUSS MAP
학술지 이력
연월일 | 이력구분 | 이력상세 | 등재구분 |
---|---|---|---|
2026 | 평가예정 | 재인증평가 신청대상 (재인증) | |
2020-01-01 | 평가 | 등재학술지 유지 (재인증) | |
2017-01-01 | 평가 | 등재학술지 유지 (계속평가) | |
2013-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2010-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2008-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2005-01-01 | 평가 | 등재학술지 선정 (등재후보2차) | |
2004-01-01 | 평가 | 등재후보 1차 PASS (등재후보1차) | |
2002-01-01 | 평가 | 등재후보학술지 선정 (신규평가) |
학술지 인용정보
기준연도 | WOS-KCI 통합IF(2년) | KCIF(2년) | KCIF(3년) |
---|---|---|---|
2016 | 0.28 | 0.28 | 0.24 |
KCIF(4년) | KCIF(5년) | 중심성지수(3년) | 즉시성지수 |
0.17 | 0.18 | 0.603 | 0.16 |