Wang, Zhihua Approximate mixed type quadratic-cubic functional equation. (English) Zbl 07543285 AIMS Math. 6, No. 4, 3546-3561 (2021). MSC: 39B82 39B72 PDF BibTeX XML Cite \textit{Z. Wang}, AIMS Math. 6, No. 4, 3546--3561 (2021; Zbl 07543285) Full Text: DOI OpenURL
Wang, Zhihua; Park, Choonkil; Shin, Dong Yun Additive \(\rho \)-functional inequalities in non-Archimedean 2-normed spaces. (English) Zbl 1484.39030 AIMS Math. 6, No. 2, 1905-1919 (2021). MSC: 39B72 39B62 39B52 12J25 32P05 PDF BibTeX XML Cite \textit{Z. Wang} et al., AIMS Math. 6, No. 2, 1905--1919 (2021; Zbl 1484.39030) Full Text: DOI OpenURL
Alessa, Nazek; Tamilvanan, K.; Loganathan, K.; Selvi, K. Kalai Hyers-Ulam stability of functional equation deriving from quadratic mapping in non-Archimedean \((n,\beta)\)-normed spaces. (English) Zbl 1466.39018 J. Funct. Spaces 2021, Article ID 9953214, 10 p. (2021). MSC: 39B82 39B52 46S10 PDF BibTeX XML Cite \textit{N. Alessa} et al., J. Funct. Spaces 2021, Article ID 9953214, 10 p. (2021; Zbl 1466.39018) Full Text: DOI OpenURL
EL-Fassi, Iz-iddine; Elqorachi, Elhoucien; Khodaei, Hamid A fixed point approach to stability of \(k\)-th radical functional equation in non-Archimedean \((n,\beta)\)-Banach spaces. (English) Zbl 1456.39003 Bull. Iran. Math. Soc. 47, No. 2, 487-504 (2021). MSC: 39B22 39B82 47H10 46S10 PDF BibTeX XML Cite \textit{I.-i. EL-Fassi} et al., Bull. Iran. Math. Soc. 47, No. 2, 487--504 (2021; Zbl 1456.39003) Full Text: DOI OpenURL
Govindan, Vediyappan; Hammachukiattikul, Porpattama; Rajchakit, Grienggrai; Gunasekaran, Nallappan; Vadivel, R. A new approach to Hyers-Ulam stability of \(r\)-variable quadratic functional equations. (English) Zbl 1458.39023 J. Funct. Spaces 2021, Article ID 6628733, 10 p. (2021). MSC: 39B82 47H10 PDF BibTeX XML Cite \textit{V. Govindan} et al., J. Funct. Spaces 2021, Article ID 6628733, 10 p. (2021; Zbl 1458.39023) Full Text: DOI OpenURL
Jin, Zhenyu; Wu, Jianrong Ulam stability of two fuzzy number-valued functional equations. (English) Zbl 1484.39033 AIMS Math. 5, No. 5, 5055-5062 (2020). MSC: 39B82 39B72 39B52 03E72 26E50 PDF BibTeX XML Cite \textit{Z. Jin} and \textit{J. Wu}, AIMS Math. 5, No. 5, 5055--5062 (2020; Zbl 1484.39033) Full Text: DOI OpenURL
Schwaiger, Jens Connections between the completion of normed spaces over non-Archimedean fields and the stability of the Cauchy equation. (English) Zbl 1466.39020 Ann. Math. Sil. 34, No. 1, 151-163 (2020). Reviewer: Ghadir Sadeghi (Sabzevār) MSC: 39B82 39B52 46S10 PDF BibTeX XML Cite \textit{J. Schwaiger}, Ann. Math. Sil. 34, No. 1, 151--163 (2020; Zbl 1466.39020) Full Text: DOI OpenURL
Govindan, Vediyappan; Park, Choonkil; Pinelas, Sandra; Rassias, Themistocles M. Hyers-Ulam stability of an additive-quadratic functional equation. (English) Zbl 1455.39007 Cubo 22, No. 2, 233-255 (2020). MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{V. Govindan} et al., Cubo 22, No. 2, 233--255 (2020; Zbl 1455.39007) Full Text: DOI OpenURL
García, G.; Mora, G. On the Ulam-Hyers stability of the complex functional equation \(F(z)+F(2z)+\cdots +F(nz)=0 \). (English) Zbl 1451.39026 Aequationes Math. 94, No. 5, 899-911 (2020). Reviewer: Maryam Amyari (Mashhad) MSC: 39B82 39B32 PDF BibTeX XML Cite \textit{G. García} and \textit{G. Mora}, Aequationes Math. 94, No. 5, 899--911 (2020; Zbl 1451.39026) Full Text: DOI OpenURL
Thanyacharoen, Anurak; Sintunavarat, Wutiphol The new investigation of the stability of mixed type additive-quartic functional equations in non-Archimedean spaces. (English) Zbl 1446.39024 Demonstr. Math. 53, 174-192 (2020). MSC: 39B52 39B55 39B82 47H10 46H25 PDF BibTeX XML Cite \textit{A. Thanyacharoen} and \textit{W. Sintunavarat}, Demonstr. Math. 53, 174--192 (2020; Zbl 1446.39024) Full Text: DOI OpenURL
El-Fassi, Iz-iddine; Khodaei, Hamid; Rassias, Themistocles M. Approximate solution of a \(p\)-th root functional equation in non-Archimedean \((2, \beta)\)-Banach spaces. (English) Zbl 1499.39118 Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 2, 369-381 (2019). MSC: 39B82 47H10 46S10 PDF BibTeX XML Cite \textit{I.-i. El-Fassi} et al., Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 2, 369--381 (2019; Zbl 1499.39118) Full Text: DOI OpenURL
Lee, Yang-Hi On the stability of a general quadratic-cubic functional equation in non-Archimedean normed spaces. (English) Zbl 1427.39015 East Asian Math. J. 35, No. 3, 331-340 (2019). MSC: 39B82 39B22 39B52 PDF BibTeX XML Cite \textit{Y.-H. Lee}, East Asian Math. J. 35, No. 3, 331--340 (2019; Zbl 1427.39015) Full Text: DOI OpenURL
Wu, Jian-Rong; Jin, Zhen-Yu A note on Ulam stability of some fuzzy number-valued functional equations. (English) Zbl 1423.39034 Fuzzy Sets Syst. 375, 191-195 (2019). MSC: 39B52 39B82 PDF BibTeX XML Cite \textit{J.-R. Wu} and \textit{Z.-Y. Jin}, Fuzzy Sets Syst. 375, 191--195 (2019; Zbl 1423.39034) Full Text: DOI OpenURL
Kumar, B. V. Senthil; Dutta, Hemen Non-Archimedean stability of a generalized reciprocal-quadratic functional equation in several variables by direct and fixed point methods. (English) Zbl 1499.39101 Filomat 32, No. 9, 3199-3209 (2018). MSC: 39B52 39B82 39B72 26E30 PDF BibTeX XML Cite \textit{B. V. S. Kumar} and \textit{H. Dutta}, Filomat 32, No. 9, 3199--3209 (2018; Zbl 1499.39101) Full Text: DOI OpenURL
Meftah, Safia A new approach to approximate solutions for nonlinear differential equation. (English) Zbl 1486.34110 Int. J. Math. Math. Sci. 2018, Article ID 5129502, 8 p. (2018). MSC: 34E10 34C15 34A45 PDF BibTeX XML Cite \textit{S. Meftah}, Int. J. Math. Math. Sci. 2018, Article ID 5129502, 8 p. (2018; Zbl 1486.34110) Full Text: DOI OpenURL
EL-Fassi, Iz-iddine Non-Archimedean hyperstability of Cauchy-Jensen functional equations on a restricted domain. (English) Zbl 1403.39027 J. Appl. Anal. 24, No. 2, 155-165 (2018). MSC: 39B82 39B62 26E30 47H10 PDF BibTeX XML Cite \textit{I.-i. EL-Fassi}, J. Appl. Anal. 24, No. 2, 155--165 (2018; Zbl 1403.39027) Full Text: DOI OpenURL
EL-Fassi, Iz-Iddine A new type of approximation for the radical quintic functional equation in non-Archimedean \((2,\beta)\)-Banach spaces. (English) Zbl 1376.39011 J. Math. Anal. Appl. 457, No. 1, 322-335 (2018). MSC: 39B82 39B52 39B22 46S10 PDF BibTeX XML Cite \textit{I.-I. EL-Fassi}, J. Math. Anal. Appl. 457, No. 1, 322--335 (2018; Zbl 1376.39011) Full Text: DOI OpenURL
Charifi, Ahmed; Łukasik, Radosław; Almahalebi, Muaad Hyers-Ulam stability for a special class of functional equations. (English) Zbl 1488.39070 Facta Univ., Ser. Math. Inf. 32, No. 5, 715-727 (2017). MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{A. Charifi} et al., Facta Univ., Ser. Math. Inf. 32, No. 5, 715--727 (2017; Zbl 1488.39070) OpenURL
Mursaleen, M.; Mohiuddine, S. A.; Ansari, Khursheed J. On the stability of fuzzy set-valued functional equations. (English) Zbl 1426.39028 Cogent Math. 4, Article ID 1281557, 21 p. (2017). MSC: 39B82 39B52 46S40 PDF BibTeX XML Cite \textit{M. Mursaleen} et al., Cogent Math. 4, Article ID 1281557, 21 p. (2017; Zbl 1426.39028) Full Text: DOI OpenURL
Ciepliński, Krzysztof On a functional equation connected with bi-linear mappings and its Hyers-Ulam stability. (English) Zbl 1412.39026 J. Nonlinear Sci. Appl. 10, No. 11, 5914-5921 (2017). MSC: 39B52 39B72 39B82 PDF BibTeX XML Cite \textit{K. Ciepliński}, J. Nonlinear Sci. Appl. 10, No. 11, 5914--5921 (2017; Zbl 1412.39026) Full Text: DOI OpenURL
Ciepliński, Krzysztof On approximate homomorphisms of ternary semigroups. (English) Zbl 1412.12006 J. Nonlinear Sci. Appl. 10, No. 8, 4071-4076 (2017). MSC: 12J25 17A40 39B52 39B82 PDF BibTeX XML Cite \textit{K. Ciepliński}, J. Nonlinear Sci. Appl. 10, No. 8, 4071--4076 (2017; Zbl 1412.12006) Full Text: DOI OpenURL
EL-Fassi, Iz-iddine On a new type of hyperstability for radical cubic functional equation in non-Archimedean metric spaces. (English) Zbl 1371.39036 Result. Math. 72, No. 1-2, 991-1005 (2017); erratum ibid. 72, No. 4, 2271 (2017). MSC: 39B82 39B62 47H10 PDF BibTeX XML Cite \textit{I.-i. EL-Fassi}, Result. Math. 72, No. 1--2, 991--1005 (2017; Zbl 1371.39036) Full Text: DOI OpenURL
Reem, Daniel Remarks on the Cauchy functional equation and variations of it. (English) Zbl 1368.39017 Aequationes Math. 91, No. 2, 237-264 (2017). Reviewer: Andrzej Smajdor (Kraków) MSC: 39B22 39B82 PDF BibTeX XML Cite \textit{D. Reem}, Aequationes Math. 91, No. 2, 237--264 (2017; Zbl 1368.39017) Full Text: DOI arXiv OpenURL
Badora, Roman; Przebieracz, Barbara; Volkmann, Peter More on Hyers’ theorem. (English) Zbl 1353.39025 J. Math. Anal. Appl. 447, No. 2, 1116-1125 (2017). MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{R. Badora} et al., J. Math. Anal. Appl. 447, No. 2, 1116--1125 (2017; Zbl 1353.39025) Full Text: DOI OpenURL
Wang, Zhihua; Sahoo, Prasanna K. Stability of the generalized quadratic and quartic type functional equation in non-Archimedean fuzzy normed spaces. (English) Zbl 1463.39068 J. Appl. Anal. Comput. 6, No. 4, 917-938 (2016). MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{Z. Wang} and \textit{P. K. Sahoo}, J. Appl. Anal. Comput. 6, No. 4, 917--938 (2016; Zbl 1463.39068) Full Text: DOI OpenURL
Kim, Chang Il; Shin, Chang Hyeob The Hyers-Ulam stability of a quadratic functional equation with involution in paranormed spaces. (English) Zbl 1432.39022 Korean J. Math. 24, No. 1, 41-49 (2016). MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{C. I. Kim} and \textit{C. H. Shin}, Korean J. Math. 24, No. 1, 41--49 (2016; Zbl 1432.39022) Full Text: DOI OpenURL
Bahyrycz, Anna; Ciepliński, Krzysztof On an equation characterizing multi-Jensen-quadratic mappings and its Hyers-Ulam stability via a fixed point method. (English) Zbl 1360.39019 J. Fixed Point Theory Appl. 18, No. 4, 737-751 (2016). Reviewer: Jacek Chmieliński (Kraków) MSC: 39B82 39B72 39B52 46S10 PDF BibTeX XML Cite \textit{A. Bahyrycz} and \textit{K. Ciepliński}, J. Fixed Point Theory Appl. 18, No. 4, 737--751 (2016; Zbl 1360.39019) Full Text: DOI OpenURL
Arunkumar, M. Stability of \(n\)-dimensional additive functional equation in generalized 2-normed space. (English) Zbl 1346.39027 Demonstr. Math. 49, No. 3, 319-330 (2016). MSC: 39B52 39B82 PDF BibTeX XML Cite \textit{M. Arunkumar}, Demonstr. Math. 49, No. 3, 319--330 (2016; Zbl 1346.39027) Full Text: DOI OpenURL
Charifi, Ahmed; Rassias, John M.; Almahalebi, Muaadh; Kabbaj, Samir Ultrametric approximations of a Drygas functional equation. (English) Zbl 1342.39025 Adv. Pure Appl. Math. 7, No. 3, 155-164 (2016). MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{A. Charifi} et al., Adv. Pure Appl. Math. 7, No. 3, 155--164 (2016; Zbl 1342.39025) Full Text: DOI OpenURL
Bahyrycz, Anna; Ciepliński, Krzysztof; Olko, Jolanta On Hyers-Ulam stability of two functional equations in non-Archimedean spaces. (English) Zbl 1344.39013 J. Fixed Point Theory Appl. 18, No. 2, 433-444 (2016). Reviewer: Ghadir Sadeghi (Sabzevār) MSC: 39B82 39B52 46S10 PDF BibTeX XML Cite \textit{A. Bahyrycz} et al., J. Fixed Point Theory Appl. 18, No. 2, 433--444 (2016; Zbl 1344.39013) Full Text: DOI OpenURL
Alghamdi, Mohammed A. Stability of pexiderized quadratic functional equation in random 2-normed spaces. (English) Zbl 1325.39018 J. Funct. Spaces 2015, Article ID 828967, 7 p. (2015). MSC: 39B82 PDF BibTeX XML Cite \textit{M. A. Alghamdi}, J. Funct. Spaces 2015, Article ID 828967, 7 p. (2015; Zbl 1325.39018) Full Text: DOI OpenURL
Sikorska, Justyna Orthogonalities and functional equations. (English) Zbl 1316.39008 Aequationes Math. 89, No. 2, 215-277 (2015). MSC: 39B55 39-02 39B52 39B82 46B20 47B49 15A86 PDF BibTeX XML Cite \textit{J. Sikorska}, Aequationes Math. 89, No. 2, 215--277 (2015; Zbl 1316.39008) Full Text: DOI OpenURL
Park, Choonkil Functional inequalities in non-Archimedean normed spaces. (English) Zbl 1315.39016 Acta Math. Sin., Engl. Ser. 31, No. 3, 353-366 (2015). Reviewer: József Sándor (Cluj-Napoca) MSC: 39B62 46S10 39B52 PDF BibTeX XML Cite \textit{C. Park}, Acta Math. Sin., Engl. Ser. 31, No. 3, 353--366 (2015; Zbl 1315.39016) Full Text: DOI OpenURL
Chahbi, A. B.; Charifi, A.; Bouikhalene, B.; Kabbaj, S. Operatorial approach to the non-Archimedean stability of a Pexider K-quadratic functional equation. (English) Zbl 1308.39022 Arab J. Math. Sci. 21, No. 1, 67-83 (2015). MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{A. B. Chahbi} et al., Arab J. Math. Sci. 21, No. 1, 67--83 (2015; Zbl 1308.39022) Full Text: DOI OpenURL
Kim, Chang Il; Park, Se Won The generalized Hyers-Ulam stability of additive functional inequalities in non-Archimedean \(2\)-normed space. (English) Zbl 1474.39071 Korean J. Math. 22, No. 2, 339-348 (2014). MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{C. I. Kim} and \textit{S. W. Park}, Korean J. Math. 22, No. 2, 339--348 (2014; Zbl 1474.39071) Full Text: DOI OpenURL
Kim, Chang Il; Han, Giljun; Shim, Seong-A Fuzzy stability of the generalized version of drygas functional equation. (English) Zbl 1442.39031 J. Appl. Math. 2014, Article ID 514192, 11 p. (2014). MSC: 39B52 39B82 PDF BibTeX XML Cite \textit{C. I. Kim} et al., J. Appl. Math. 2014, Article ID 514192, 11 p. (2014; Zbl 1442.39031) Full Text: DOI OpenURL
Shen, Yonghong; Lan, Yaoyao; Chen, Wei Hyers-Ulam-Rassias stability of some additive fuzzy set-valued functional equations with the fixed point alternative. (English) Zbl 1470.39069 Abstr. Appl. Anal. 2014, Article ID 139175, 9 p. (2014). MSC: 39B82 26E50 47H10 PDF BibTeX XML Cite \textit{Y. Shen} et al., Abstr. Appl. Anal. 2014, Article ID 139175, 9 p. (2014; Zbl 1470.39069) Full Text: DOI OpenURL
Nguyen Bich Huy; Tran Dinh Thanh Fixed point theorems and the Ulam-Hyers stability in non-Archimedean cone metric spaces. (English) Zbl 1308.54029 J. Math. Anal. Appl. 414, No. 1, 10-20 (2014). MSC: 54H25 39B82 PDF BibTeX XML Cite \textit{Nguyen Bich Huy} and \textit{Tran Dinh Thanh}, J. Math. Anal. Appl. 414, No. 1, 10--20 (2014; Zbl 1308.54029) Full Text: DOI OpenURL
Abolfathi, Mohammad Ali; Ebadian, Ali; Aghalary, Rasoul Stability of mixed additive-quadratic Jensen type functional equation in non-Archimedean \(\ell \)-fuzzy normed spaces. (English) Zbl 1307.39014 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 60, No. 2, 307-319 (2014). MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{M. A. Abolfathi} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 60, No. 2, 307--319 (2014; Zbl 1307.39014) Full Text: DOI OpenURL
Brzdȩk, Janusz; Cădariu, Liviu; Ciepliński, Krzysztof Fixed point theory and the Ulam stability. (English) Zbl 1314.39029 J. Funct. Spaces 2014, Article ID 829419, 16 p. (2014). MSC: 39B82 47H10 PDF BibTeX XML Cite \textit{J. Brzdȩk} et al., J. Funct. Spaces 2014, Article ID 829419, 16 p. (2014; Zbl 1314.39029) Full Text: DOI OpenURL
Wang, Li Guang; Xu, Kun Peng; Liu, Qiu Wen On the stability of a mixed functional equation deriving from additive, quadratic and cubic mappings. (English) Zbl 1298.39030 Acta Math. Sin., Engl. Ser. 30, No. 6, 1033-1049 (2014). Reviewer: Ghadir Sadeghi (Sabzevār) MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{L. G. Wang} et al., Acta Math. Sin., Engl. Ser. 30, No. 6, 1033--1049 (2014; Zbl 1298.39030) Full Text: DOI OpenURL
Chang, Ick-Soon; Lee, Yang-Hi Stability for functional equation of mixed type in non-Archimedean normed spaces. (English) Zbl 1287.39019 J. Funct. Spaces 2014, Article ID 919646, 9 p. (2014). MSC: 39B82 39B52 46S10 PDF BibTeX XML Cite \textit{I.-S. Chang} and \textit{Y.-H. Lee}, J. Funct. Spaces 2014, Article ID 919646, 9 p. (2014; Zbl 1287.39019) Full Text: DOI OpenURL
Kim, Hark-Mahn; Lee, Juri Approximate Euler-Lagrange quadratic mappings in fuzzy Banach spaces. (English) Zbl 1470.39067 Abstr. Appl. Anal. 2013, Article ID 869274, 9 p. (2013). MSC: 39B82 46S40 PDF BibTeX XML Cite \textit{H.-M. Kim} and \textit{J. Lee}, Abstr. Appl. Anal. 2013, Article ID 869274, 9 p. (2013; Zbl 1470.39067) Full Text: DOI OpenURL
Kim, Hark-Mahn; Jun, Kil-Woung; Son, Eunyoung Generalized Hyers-Ulam stability of quadratic functional inequality. (English) Zbl 1291.39054 Abstr. Appl. Anal. 2013, Article ID 564923, 8 p. (2013). MSC: 39B82 PDF BibTeX XML Cite \textit{H.-M. Kim} et al., Abstr. Appl. Anal. 2013, Article ID 564923, 8 p. (2013; Zbl 1291.39054) Full Text: DOI OpenURL
Bodaghi, Abasalt; Kim, Sang Og Stability of a functional equation deriving from quadratic and additive functions in non-Archimedean normed spaces. (English) Zbl 1291.39039 Abstr. Appl. Anal. 2013, Article ID 198018, 10 p. (2013). MSC: 39A30 46S10 39A10 PDF BibTeX XML Cite \textit{A. Bodaghi} and \textit{S. O. Kim}, Abstr. Appl. Anal. 2013, Article ID 198018, 10 p. (2013; Zbl 1291.39039) Full Text: DOI OpenURL
Bahyrycz, Anna; Brzdȩk, Janusz; Piszczek, Magdalena On approximately \(p\)-Wright affine functions in ultrametric spaces. (English) Zbl 1287.39016 J. Funct. Spaces Appl. 2013, Article ID 723545, 7 p. (2013). MSC: 39B82 39B52 54E35 PDF BibTeX XML Cite \textit{A. Bahyrycz} et al., J. Funct. Spaces Appl. 2013, Article ID 723545, 7 p. (2013; Zbl 1287.39016) Full Text: DOI OpenURL
Ebadian, Ali; Aghalary, Rasoul; Shokri, Javad Approximate 3-Lie homomorphisms on Lie algebra systems. (English) Zbl 1284.39028 Anal. Appl., Singap. 11, No. 5, Article ID 1350022, 12 p. (2013). MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{A. Ebadian} et al., Anal. Appl., Singap. 11, No. 5, Article ID 1350022, 12 p. (2013; Zbl 1284.39028) Full Text: DOI OpenURL
Wang, JinRong; Li, Xuezhu On the stability of nonautonomous linear impulsive differential equations. (English) Zbl 1273.34060 J. Funct. Spaces Appl. 2013, Article ID 425102, 6 p. (2013). MSC: 34D10 34A37 PDF BibTeX XML Cite \textit{J. Wang} and \textit{X. Li}, J. Funct. Spaces Appl. 2013, Article ID 425102, 6 p. (2013; Zbl 1273.34060) Full Text: DOI OpenURL
Gordji, M. Eshaghi; Zolfaghari, S.; Gharetapeh, S. Kaboli; Ebadian, A.; Park, C. Solution and stability of generalized mixed type additive and quadratic functional equation in non-Archimedean spaces. (English) Zbl 1304.39031 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 58, No. 1, 49-64 (2012). MSC: 39B82 39B52 46S10 PDF BibTeX XML Cite \textit{M. E. Gordji} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 58, No. 1, 49--64 (2012; Zbl 1304.39031) Full Text: DOI OpenURL
Lee, Sang-Baek; Park, Won-Gil; Bae, Jae-Hyeong Stability results in \(\mathcal L\)-fuzzy normed spaces for a cubic functional equation. (English) Zbl 1279.39019 J. Inequal. Appl. 2012, Paper No. 249, 9 p. (2012). MSC: 39B82 39B22 39B52 46S40 PDF BibTeX XML Cite \textit{S.-B. Lee} et al., J. Inequal. Appl. 2012, Paper No. 249, 9 p. (2012; Zbl 1279.39019) Full Text: DOI OpenURL
Xu, Tian Zhou Stability of multi-Jensen mappings in non-Archimedean normed spaces. (English) Zbl 1275.47135 J. Math. Phys. 53, No. 2, 023507, 9 p. (2012). MSC: 47S10 39B82 PDF BibTeX XML Cite \textit{T. Z. Xu}, J. Math. Phys. 53, No. 2, 023507, 9 p. (2012; Zbl 1275.47135) Full Text: DOI OpenURL
Vahidi, Javad; Park, Choonkil; Saadati, Reza A functional equation related to inner product spaces in non-Archimedean \(\mathcal L\)-random normed spaces. (English) Zbl 1274.46132 J. Inequal. Appl. 2012, Paper No. 168, 16 p. (2012). MSC: 46S10 39B52 47S10 26E30 12J25 PDF BibTeX XML Cite \textit{J. Vahidi} et al., J. Inequal. Appl. 2012, Paper No. 168, 16 p. (2012; Zbl 1274.46132) Full Text: DOI OpenURL
Brillouët-Belluot, Nicole; Brzdȩk, Janusz; Ciepliński, Krzysztof On some recent developments in Ulam’s type stability. (English) Zbl 1259.39019 Abstr. Appl. Anal. 2012, Article ID 716936, 41 p. (2012). MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{N. Brillouët-Belluot} et al., Abstr. Appl. Anal. 2012, Article ID 716936, 41 p. (2012; Zbl 1259.39019) Full Text: DOI OpenURL
Kang, Dongseung; Koh, Heejeong; Cho, In Goo On the Mazur-Ulam theorem in non-Archimedean fuzzy normed spaces. (English) Zbl 1250.46052 Appl. Math. Lett. 25, No. 3, 301-304 (2012). MSC: 46S40 46S10 PDF BibTeX XML Cite \textit{D. Kang} et al., Appl. Math. Lett. 25, No. 3, 301--304 (2012; Zbl 1250.46052) Full Text: DOI OpenURL
Lee, Yang-Hi; Jung, Soon-Mo; Rassias, Themistocles M. Stability of the \(n\)-dimensional mixed-type additive and quadratic functional equation in non-Archimedean normed spaces. (English) Zbl 1237.39035 Abstr. Appl. Anal. 2012, Article ID 401762, 9 p. (2012). MSC: 39B82 PDF BibTeX XML Cite \textit{Y.-H. Lee} et al., Abstr. Appl. Anal. 2012, Article ID 401762, 9 p. (2012; Zbl 1237.39035) Full Text: DOI OpenURL
Eshaghi Gordji, M.; Khodaei, H.; Kim, Gwang Hui Nearly quadratic mappings over \(p\)-adic fields. (English) Zbl 1250.39013 Abstr. Appl. Anal. 2012, Article ID 285807, 12 p. (2012). MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{M. Eshaghi Gordji} et al., Abstr. Appl. Anal. 2012, Article ID 285807, 12 p. (2012; Zbl 1250.39013) Full Text: DOI OpenURL
Kenary, Hassan Azadi; Lee, Jung Rye; Park, Choonkil Nonlinear approximation of an ACQ-functional equation in NAN-spaces. (English) Zbl 1272.39018 Fixed Point Theory Appl. 2011, Paper No. 60, 22 p. (2011). MSC: 39B82 39B52 46S10 PDF BibTeX XML Cite \textit{H. A. Kenary} et al., Fixed Point Theory Appl. 2011, Paper No. 60, 22 p. (2011; Zbl 1272.39018) Full Text: DOI OpenURL
Gordji, Madjid Eshaghi; Khodabakhsh, Razieh; Khodaei, Hamid; Park, Choonkil; Shin, Dong Yun A functional equation related to inner product spaces in non-Archimedean normed spaces. (English) Zbl 1271.39025 Adv. Difference Equ. 2011, Paper No. 37, 12 p. (2011). MSC: 39B82 39B52 46S10 PDF BibTeX XML Cite \textit{M. E. Gordji} et al., Adv. Difference Equ. 2011, Paper No. 37, 12 p. (2011; Zbl 1271.39025) Full Text: DOI OpenURL
Saadati, Reza; Vaezpour, Seiyed M.; Sadeghi, Zahra On the stability of Pexider functional equation in non-Archimedean spaces. (English) Zbl 1266.26048 J. Inequal. Appl. 2011, Paper No. 17, 11 p. (2011). MSC: 26E30 39B52 39B72 46S10 PDF BibTeX XML Cite \textit{R. Saadati} et al., J. Inequal. Appl. 2011, Paper No. 17, 11 p. (2011; Zbl 1266.26048) Full Text: DOI OpenURL
Zhang, Shi-sheng; Saadati, R.; Sadeghi, G. Solution and stability of mixed type functional equation in non-Archimedean random normed spaces. (English) Zbl 1237.39021 Appl. Math. Mech., Engl. Ed. 32, No. 5, 663-676 (2011). MSC: 39B22 39B82 46S10 PDF BibTeX XML Cite \textit{S.-s. Zhang} et al., Appl. Math. Mech., Engl. Ed. 32, No. 5, 663--676 (2011; Zbl 1237.39021) Full Text: DOI OpenURL
Ciepliński, Krzysztof On the generalized Hyers-Ulam stability of multi-quadratic mappings. (English) Zbl 1236.39025 Comput. Math. Appl. 62, No. 9, 3418-3426 (2011). MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{K. Ciepliński}, Comput. Math. Appl. 62, No. 9, 3418--3426 (2011; Zbl 1236.39025) Full Text: DOI OpenURL
Eshaghi Gordji, M.; Ghaemi, M. B.; Alizadeh, Badrkhan A fixed point approach to superstability of generalized derivations on non-Archimedean Banach algebras. (English) Zbl 1227.39022 Abstr. Appl. Anal. 2011, Article ID 587097, 9 p. (2011). MSC: 39B82 46L57 46S10 39B52 PDF BibTeX XML Cite \textit{M. Eshaghi Gordji} et al., Abstr. Appl. Anal. 2011, Article ID 587097, 9 p. (2011; Zbl 1227.39022) Full Text: DOI OpenURL
Brzdȩk, Janusz; Ciepliński, Krzysztof A fixed point approach to the stability of functional equations in non-Archimedean metric spaces. (English) Zbl 1237.39022 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 18, 6861-6867 (2011). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 39B52 39B82 54H25 PDF BibTeX XML Cite \textit{J. Brzdȩk} and \textit{K. Ciepliński}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 18, 6861--6867 (2011; Zbl 1237.39022) Full Text: DOI OpenURL
Kenary, Hassan Azadi; Cho, Yeol Je Stability of mixed additive-quadratic Jensen type functional equation in various spaces. (English) Zbl 1235.39024 Comput. Math. Appl. 61, No. 9, 2704-2724 (2011). Reviewer: Jens Schwaiger (Graz) MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{H. A. Kenary} and \textit{Y. J. Cho}, Comput. Math. Appl. 61, No. 9, 2704--2724 (2011; Zbl 1235.39024) Full Text: DOI OpenURL
Jung, Soon-Mo Approximation of analytic functions by Bessel’s functions of fractional order. (English) Zbl 1227.34015 Abstr. Appl. Anal. 2011, Article ID 923269, 13 p. (2011). MSC: 34A30 41A30 PDF BibTeX XML Cite \textit{S.-M. Jung}, Abstr. Appl. Anal. 2011, Article ID 923269, 13 p. (2011; Zbl 1227.34015) Full Text: DOI OpenURL
Janfada, M.; Shourvazi, R. Solutions and the generalized Hyers-Ulam-Rassias stability of a generalized quadratic-additive functional equation. (English) Zbl 1217.39035 Abstr. Appl. Anal. 2011, Article ID 326951, 19 p. (2011). MSC: 39B82 PDF BibTeX XML Cite \textit{M. Janfada} and \textit{R. Shourvazi}, Abstr. Appl. Anal. 2011, Article ID 326951, 19 p. (2011; Zbl 1217.39035) Full Text: DOI OpenURL
Najati, Abbas; Cho, Yeol Je Generalized Hyers-Ulam stability of the Pexiderized Cauchy functional equation in non-archimedean spaces. (English) Zbl 1213.39018 Fixed Point Theory Appl. 2011, Article ID 309026, 11 p. (2011). MSC: 39A30 PDF BibTeX XML Cite \textit{A. Najati} and \textit{Y. J. Cho}, Fixed Point Theory Appl. 2011, Article ID 309026, 11 p. (2011; Zbl 1213.39018) Full Text: DOI EuDML OpenURL
Ciepliński, Krzysztof Stability of multi-additive mappings in non-Archimedean normed spaces. (English) Zbl 1204.39027 J. Math. Anal. Appl. 373, No. 2, 376-383 (2011). Reviewer: Prasanna Sahoo (Louisville) MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{K. Ciepliński}, J. Math. Anal. Appl. 373, No. 2, 376--383 (2011; Zbl 1204.39027) Full Text: DOI OpenURL
Xu, Tian Zhou; Rassias, John Michael; Xu, Wan Xin Stability of a general mixed additive-cubic functional equation in non-Archimedean fuzzy normed spaces. (English) Zbl 1309.30029 J. Math. Phys. 51, No. 9, 093508, 19 p. (2010). MSC: 30D05 46S10 46S40 32P05 32Q26 PDF BibTeX XML Cite \textit{T. Z. Xu} et al., J. Math. Phys. 51, No. 9, 093508, 19 p. (2010; Zbl 1309.30029) Full Text: DOI OpenURL
Eshaghi Gordji, M.; Khodabakhsh, R.; Jung, S.-M.; Khodaei, H. AQCQ-functional equation in non-Archimedean normed spaces. (English) Zbl 1207.39041 Abstr. Appl. Anal. 2010, Article ID 741942, 22 p. (2010). MSC: 39B82 39B52 46S10 PDF BibTeX XML Cite \textit{M. Eshaghi Gordji} et al., Abstr. Appl. Anal. 2010, Article ID 741942, 22 p. (2010; Zbl 1207.39041) Full Text: DOI EuDML OpenURL
Ebadian, A.; Najati, A.; Gordji, M. Eshaghi On approximate additive-quartic and quadratic-cubic functional equations in two variables on Abelian groups. (English) Zbl 1203.39016 Result. Math. 58, No. 1-2, 39-53 (2010). Reviewer: Maryam Amyari (Mashhad) MSC: 39B82 39B52 39B72 PDF BibTeX XML Cite \textit{A. Ebadian} et al., Result. Math. 58, No. 1--2, 39--53 (2010; Zbl 1203.39016) Full Text: DOI OpenURL
Xu, Tian Zhou; Rassias, John Michael; Xu, Wan Xin A fixed point approach to the stability of a general mixed AQCQ-functional equation in non-Archimedean normed spaces. (English) Zbl 1198.39041 Discrete Dyn. Nat. Soc. 2010, Article ID 812545, 24 p. (2010). MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{T. Z. Xu} et al., Discrete Dyn. Nat. Soc. 2010, Article ID 812545, 24 p. (2010; Zbl 1198.39041) Full Text: DOI EuDML OpenURL
Xu, Tian Zhou; Rassias, John Michael; Xu, Wan Xin On the stability of a general mixed additive-cubic functional equation in random normed spaces. (English) Zbl 1198.39040 J. Inequal. Appl. 2010, Article ID 328473, 16 p. (2010). MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{T. Z. Xu} et al., J. Inequal. Appl. 2010, Article ID 328473, 16 p. (2010; Zbl 1198.39040) Full Text: DOI EuDML OpenURL
Cho, Yeol Je; Park, Choonkil; Saadati, Reza Functional inequalities in non-Archimedean Banach spaces. (English) Zbl 1203.39015 Appl. Math. Lett. 23, No. 10, 1238-1242 (2010). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 39B82 46S10 39B52 39B62 PDF BibTeX XML Cite \textit{Y. J. Cho} et al., Appl. Math. Lett. 23, No. 10, 1238--1242 (2010; Zbl 1203.39015) Full Text: DOI OpenURL
Gordji, M. Eshaghi; Savadkouhi, M. B. Stability of a mixed type cubic-quartic functional equation in non-Archimedean spaces. (English) Zbl 1204.39028 Appl. Math. Lett. 23, No. 10, 1198-1202 (2010). Reviewer: Prasanna Sahoo (Louisville) MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{M. E. Gordji} and \textit{M. B. Savadkouhi}, Appl. Math. Lett. 23, No. 10, 1198--1202 (2010; Zbl 1204.39028) Full Text: DOI OpenURL
Najati, Abbas; Eskandani, G. Zamani A fixed point method to the generalized stability of a mixed additive and quadratic functional equation in Banach modules. (English) Zbl 1197.39018 J. Difference Equ. Appl. 16, No. 7, 773-788 (2010). Reviewer: Maryam Amyari (Mashhad) MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{A. Najati} and \textit{G. Z. Eskandani}, J. Difference Equ. Appl. 16, No. 7, 773--788 (2010; Zbl 1197.39018) Full Text: DOI OpenURL
Eshaghi Gordji, M.; Bavand Savadkouhi, M. Stability of cubic and quartic functional equations in non-Archimedean spaces. (English) Zbl 1192.39018 Acta Appl. Math. 110, No. 3, 1321-1329 (2010). Reviewer: Maryam Amyari (Mashhad) MSC: 39B82 46S10 39B52 PDF BibTeX XML Cite \textit{M. Eshaghi Gordji} and \textit{M. Bavand Savadkouhi}, Acta Appl. Math. 110, No. 3, 1321--1329 (2010; Zbl 1192.39018) Full Text: DOI arXiv OpenURL
Najati, Abbas; Rassias, Themistocles M. Stability of a mixed functional equation in several variables on Banach modules. (English) Zbl 1191.39027 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3-4, 1755-1767 (2010). Reviewer: Dorel Miheţ (Timişoara) MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{A. Najati} and \textit{T. M. Rassias}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3--4, 1755--1767 (2010; Zbl 1191.39027) Full Text: DOI OpenURL
Mirmostafaee, Alireza Kamel; Moslehian, Mohammad Sal Stability of additive mappings in non-archimedean fuzzy normed spaces. (English) Zbl 1187.46068 Fuzzy Sets Syst. 160, No. 11, 1643-1652 (2009). MSC: 46S40 39B82 46S10 PDF BibTeX XML Cite \textit{A. K. Mirmostafaee} and \textit{M. S. Moslehian}, Fuzzy Sets Syst. 160, No. 11, 1643--1652 (2009; Zbl 1187.46068) Full Text: DOI OpenURL
Najati, Abbas; Park, Choonkil Fixed points and stability of a generalized quadratic functional equation. (English) Zbl 1157.39318 J. Inequal. Appl. 2009, Article ID 193035, 19 p. (2009). MSC: 39B82 47H10 39B52 PDF BibTeX XML Cite \textit{A. Najati} and \textit{C. Park}, J. Inequal. Appl. 2009, Article ID 193035, 19 p. (2009; Zbl 1157.39318) Full Text: DOI EuDML OpenURL
Moslehian, Mohammad Sal; Sadeghi, Ghadir Stability of two types of cubic functional equations in non-archimedean spaces. (English) Zbl 1254.39015 Real Anal. Exch. 33(2007-2008), No. 2, 375-384 (2008). MSC: 39B82 39B52 PDF BibTeX XML Cite \textit{M. S. Moslehian} and \textit{G. Sadeghi}, Real Anal. Exch. 33, No. 2, 375--384 (2008; Zbl 1254.39015) Full Text: DOI Euclid OpenURL
Moslehian, Mohammad Sal; Sadeghi, Ghadir A Mazur–Ulam theorem in non-Archimedean normed spaces. (English) Zbl 1160.46049 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 10, 3405-3408 (2008). MSC: 46S10 47S10 26E30 12J25 PDF BibTeX XML Cite \textit{M. S. Moslehian} and \textit{G. Sadeghi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 10, 3405--3408 (2008; Zbl 1160.46049) Full Text: DOI arXiv OpenURL
Moslehian, Mohammad Sal Ternary derivations, stability and physical aspects. (English) Zbl 1135.39014 Acta Appl. Math. 100, No. 2, 187-199 (2008). Reviewer: Maryam Amyari (Mashhad) MSC: 39B82 39B52 17A40 17A36 PDF BibTeX XML Cite \textit{M. S. Moslehian}, Acta Appl. Math. 100, No. 2, 187--199 (2008; Zbl 1135.39014) Full Text: DOI OpenURL
Enflo, Per; Moslehian, Mohammad Sal An interview with Themistocles M. Rassias. (English) Zbl 1175.01074 Banach J. Math. Anal. 1, No. 2, 252-260 (2007). MSC: 01A70 39-03 PDF BibTeX XML Cite \textit{P. Enflo} and \textit{M. S. Moslehian}, Banach J. Math. Anal. 1, No. 2, 252--260 (2007; Zbl 1175.01074) Full Text: DOI Euclid EMIS OpenURL