Aderyani, Safoura Rezaei; Ahadi, Azam; Saadati, Reza; Srivastava, Hari M. Aggregate special functions to approximate permuting tri-homomorphisms and permuting tri-derivations associated with a tri-additive \(\psi\)-functional inequality in Banach algebras. (English) Zbl 07784086 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 1, 311-338 (2024). MSC: 39B52 17A40 47B47 46L57 39B62 PDFBibTeX XMLCite \textit{S. R. Aderyani} et al., Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 1, 311--338 (2024; Zbl 07784086) Full Text: DOI
Madadi, Masoumeh; Saadati, Reza Fuzzy controller and stabilizer on random operators. (English) Zbl 07805591 Bol. Soc. Parana. Mat. (3) 41, Paper No. 32, 7 p. (2023). MSC: 39B72 46L05 PDFBibTeX XMLCite \textit{M. Madadi} and \textit{R. Saadati}, Bol. Soc. Parana. Mat. (3) 41, Paper No. 32, 7 p. (2023; Zbl 07805591) Full Text: DOI
Rezaei Aderyani, Safoura; Saadati, Reza; Li, Chenkuan; Rassias, Themistocles M.; Park, Choonkil Special functions and multi-stability of the Jensen type random operator equation in \(C^*\)-algebras via fixed point. (English) Zbl 07772812 J. Inequal. Appl. 2023, Paper No. 35, 24 p. (2023). MSC: 33E12 33C80 46L52 47B80 47H40 PDFBibTeX XMLCite \textit{S. Rezaei Aderyani} et al., J. Inequal. Appl. 2023, Paper No. 35, 24 p. (2023; Zbl 07772812) Full Text: DOI
Tuan, Nguyen Huy; Saadati, Reza; O’Regan, Donal; Park, Choonkil Best approximations of stochastic bi-homomorphisms and bi-derivations in MC-\(\diamond\)-algebras. (English) Zbl 1515.39015 Rend. Circ. Mat. Palermo (2) 72, No. 3, 2111-2135 (2023). MSC: 39B52 39B82 47B47 47B80 47H10 46L57 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Rend. Circ. Mat. Palermo (2) 72, No. 3, 2111--2135 (2023; Zbl 1515.39015) Full Text: DOI
Srivastava, H. M.; Saadati, Reza; Jang, Sun Young Bi-additive \(\sigma \)-random operator inequalities and random quasi-\(*\)-multipliers on MB-algebras. (English) Zbl 1486.54047 Math. Sci., Springer 15, No. 4, 325-336 (2021). MSC: 54H12 43A22 46L05 47H10 PDFBibTeX XMLCite \textit{H. M. Srivastava} et al., Math. Sci., Springer 15, No. 4, 325--336 (2021; Zbl 1486.54047) Full Text: DOI
Cho, Yeol Je; Kang, Shin Min; Rassias, Themistocles M.; Saadati, Reza On nonlinear random approximation of 3-variable Cauchy functional equation. (English) Zbl 1485.39036 Iran. J. Math. Sci. Inform. 16, No. 2, 163-177 (2021). MSC: 39B52 46L05 47B47 47H10 PDFBibTeX XMLCite \textit{Y. J. Cho} et al., Iran. J. Math. Sci. Inform. 16, No. 2, 163--177 (2021; Zbl 1485.39036) Full Text: Link
Chaharpashlou, R.; O’Regan, Donal; Park, Choonkil; Saadati, Reza \(C^\ast\)-algebra valued fuzzy normed spaces with application of Hyers-Ulam stability of a random integral equation. (English) Zbl 1485.45013 Adv. Difference Equ. 2020, Paper No. 326, 9 p. (2020). MSC: 45N05 45M10 45R05 54A40 46S40 PDFBibTeX XMLCite \textit{R. Chaharpashlou} et al., Adv. Difference Equ. 2020, Paper No. 326, 9 p. (2020; Zbl 1485.45013) Full Text: DOI
Saadati, Reza; Park, Choonkil Approximation of derivations and the superstability in random Banach \(\ast\)-algebras. (English) Zbl 1448.46064 Adv. Difference Equ. 2018, Paper No. 418, 12 p. (2018). MSC: 46S50 47B47 47H10 46L57 26E60 PDFBibTeX XMLCite \textit{R. Saadati} and \textit{C. Park}, Adv. Difference Equ. 2018, Paper No. 418, 12 p. (2018; Zbl 1448.46064) Full Text: DOI
Wang, Zhihua; Saadati, Reza Approximation of additive functional equations in NA Lie \(C^\star\)-algebras. (English) Zbl 1394.39028 Demonstr. Math. 51, 37-44 (2018). Reviewer: Stefan Czerwik (Łaziska Górne) MSC: 39B82 39B52 16W25 46L05 47H10 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{R. Saadati}, Demonstr. Math. 51, 37--44 (2018; Zbl 1394.39028) Full Text: DOI
Agarwal, Ravi P.; Saadati, Reza; Salamati, Ali Approximation of the multiplicatives on random multi-normed space. (English) Zbl 1379.39002 J. Inequal. Appl. 2017, Paper No. 204, 10 p. (2017). MSC: 39A10 39B52 39B72 46L05 47H10 46B03 54E40 54E35 54H25 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., J. Inequal. Appl. 2017, Paper No. 204, 10 p. (2017; Zbl 1379.39002) Full Text: DOI
Cho, Yeol Je; Saadati, Reza; Yang, Young-Oh; Kenari, H. M. A fixed point technique for approximate a functional inequality in normed modules over \(C^*\)-algebras. (English) Zbl 1390.39093 Filomat 30, No. 7, 1691-1696 (2016). MSC: 39B72 39B62 46L05 PDFBibTeX XMLCite \textit{Y. J. Cho} et al., Filomat 30, No. 7, 1691--1696 (2016; Zbl 1390.39093) Full Text: DOI
Lo’lo’, Parvaneh; Vaezpour, Seiyed Mansour; Saadati, Reza Common best proximity points results for new proximal \(C\)-contraction mappings. (English) Zbl 1338.90321 Fixed Point Theory Appl. 2016, Paper No. 56, 10 p. (2016). MSC: 90C26 90C30 47H09 47H10 PDFBibTeX XMLCite \textit{P. Lo'lo'} et al., Fixed Point Theory Appl. 2016, Paper No. 56, 10 p. (2016; Zbl 1338.90321) Full Text: DOI
Abdou, Afrah A. N.; Cho, Yeol Je; Saadati, Reza Distribution and survival functions with applications in intuitionistic random Lie \(C^*\)-algebras. (English) Zbl 1333.39001 J. Comput. Anal. Appl. 21, No. 2, 345-354 (2016). MSC: 39A10 39B52 39B72 46L05 47H10 46B03 PDFBibTeX XMLCite \textit{A. A. N. Abdou} et al., J. Comput. Anal. Appl. 21, No. 2, 345--354 (2016; Zbl 1333.39001)
Ghaemi, Mohammad Bagher; Choubin, Mehdi; Saadati, Reza; Park, Choonkil; Shin, Dong Yun A fixed point approach to the stability of Euler-Lagrange sextic \((a,b)\)-functional equations in Archimedean and non-Archimedean Banach spaces. (English) Zbl 1333.39035 J. Comput. Anal. Appl. 21, No. 1, 170-181 (2016). MSC: 39B82 46S10 47H10 PDFBibTeX XMLCite \textit{M. B. Ghaemi} et al., J. Comput. Anal. Appl. 21, No. 1, 170--181 (2016; Zbl 1333.39035)
Alsulami, Hamed H.; Kenari, Hassan Morghi; O’Regan, Donal; Saadati, Reza Multi-\(C^{*}\)-ternary algebras and applications. (English) Zbl 1333.39002 J. Inequal. Appl. 2015, Paper No. 223, 21 p. (2015). MSC: 39A10 39B72 47H10 46B03 PDFBibTeX XMLCite \textit{H. H. Alsulami} et al., J. Inequal. Appl. 2015, Paper No. 223, 21 p. (2015; Zbl 1333.39002) Full Text: DOI
Jang, Sun Young; Saadati, Reza Approximation of the Jensen type functional equation in non-Archimedean \(C^*\)-algebras. (English) Zbl 1329.39032 J. Comput. Anal. Appl. 18, No. 3, 472-491 (2015). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 39B82 39B52 17B40 46L05 46S10 PDFBibTeX XMLCite \textit{S. Y. Jang} and \textit{R. Saadati}, J. Comput. Anal. Appl. 18, No. 3, 472--491 (2015; Zbl 1329.39032)
Cho, Yeol Je; Saadati, Reza; Yang, Young-oh Apollonius type additive functional equations in \(C^{\ast}\)-ternary algebras and \(JB^{\ast}\)-triples. (English) Zbl 1331.39017 J. Comput. Anal. Appl. 19, No. 3, 470-479 (2015). Reviewer: Gian Luigi Forti (Milano) MSC: 39B52 46B03 39B55 39B82 17A40 46L05 46L57 PDFBibTeX XMLCite \textit{Y. J. Cho} et al., J. Comput. Anal. Appl. 19, No. 3, 470--479 (2015; Zbl 1331.39017)
Cho, Yeol Je; Saadati, Reza; Yang, Young-Oh Ulam-Găvrute-Rassias stability of an additive functional inequality in fuzzy normed modules. (English) Zbl 1339.39024 J. Comput. Anal. Appl. 19, No. 3, 409-417 (2015). Reviewer: Mihály Bessenyei (Debrecen) MSC: 39B82 39B62 46H25 46S40 PDFBibTeX XMLCite \textit{Y. J. Cho} et al., J. Comput. Anal. Appl. 19, No. 3, 409--417 (2015; Zbl 1339.39024)
Cho, Yeol Je; Park, Choonkil; Rassias, Themistocles M.; Saadati, Reza Stability of functional equations in Banach algebras. (English) Zbl 1323.39025 Cham: Springer (ISBN 978-3-319-18707-5/hbk; 978-3-319-18708-2/ebook). xiv, 343 p. (2015). Reviewer: Paşc Găvruţă (Timişoara) MSC: 39B82 39-02 39B52 46L57 46S10 39B62 PDFBibTeX XMLCite \textit{Y. J. Cho} et al., Stability of functional equations in Banach algebras. Cham: Springer (2015; Zbl 1323.39025) Full Text: DOI
Cho, Yeol; Saadati, Reza; Yang, Young-Oh Random \(C^{*}\)-ternary algebras and application. (English) Zbl 1307.39010 J. Inequal. Appl. 2015, Paper No. 26, 9 p. (2015). MSC: 39B52 17A40 46B03 PDFBibTeX XMLCite \textit{Y. Cho} et al., J. Inequal. Appl. 2015, Paper No. 26, 9 p. (2015; Zbl 1307.39010) Full Text: DOI
Saadati, R.; Sadeghi, Gh.; Rassias, Th. M. Approximate generalized additive mappings in proper multi-\(CQ^*\)-algebras. (English) Zbl 1462.39024 Filomat 28, No. 4, 677-694 (2014). MSC: 39B62 39B52 39B72 46L05 47B47 PDFBibTeX XMLCite \textit{R. Saadati} et al., Filomat 28, No. 4, 677--694 (2014; Zbl 1462.39024) Full Text: DOI
Saadati, Reza; Sadeghi, Ghadir Approximate homomorphisms and derivations in proper \(JCQ^\ast\)-triples via a fixed point method. (English) Zbl 1286.39016 Expo. Math. 31, No. 1, 87-97 (2013). Reviewer: Paşc Găvruţă (Timişoara) MSC: 39B82 39B52 46K70 46L05 47B48 47H10 PDFBibTeX XMLCite \textit{R. Saadati} and \textit{G. Sadeghi}, Expo. Math. 31, No. 1, 87--97 (2013; Zbl 1286.39016) Full Text: DOI
Cho, Yeol Je; Saadati, Reza; Yang, Young-Oh Approximation of homomorphisms and derivations on Lie \(C^\ast\)-algebras via fixed point method. (English) Zbl 1285.39010 J. Inequal. Appl. 2013, Paper No. 415, 9 p. (2013). MSC: 39B82 39B52 46L05 46L57 PDFBibTeX XMLCite \textit{Y. J. Cho} et al., J. Inequal. Appl. 2013, Paper No. 415, 9 p. (2013; Zbl 1285.39010) Full Text: DOI
Park, Choonkil; Cho, Yeol Je; Saadati, Reza Approximation of linear mappings in Banach modules over \(C^\ast \)-algebras. (English) Zbl 1282.39033 J. Inequal. Appl. 2013, Paper No. 185, 15 p. (2013). MSC: 39B82 39B52 46L08 PDFBibTeX XMLCite \textit{C. Park} et al., J. Inequal. Appl. 2013, Paper No. 185, 15 p. (2013; Zbl 1282.39033) Full Text: DOI
Cho, Yeol Je; Rassias, Themistocles M.; Saadati, Reza Stability of functional equations in random normed spaces. (English) Zbl 1281.46001 Springer Optimization and Its Applications 86. New York, NY: Springer (ISBN 978-1-4614-8476-9/hbk; 978-1-4614-8477-6/ebook). xix, 246 p. (2013). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 46-02 39-02 39B52 46S10 46S40 PDFBibTeX XMLCite \textit{Y. J. Cho} et al., Stability of functional equations in random normed spaces. New York, NY: Springer (2013; Zbl 1281.46001) Full Text: DOI
Park, Choonkil; Saadati, Reza Approximation of a generalized additive mapping in multi-Banach modules and isomorphisms in multi-\(C^\ast\)-algebras: a fixed-point approach. (English) Zbl 1377.39038 Adv. Difference Equ. 2012, Paper No. 162, 14 p. (2012). MSC: 39B52 46L05 47H10 47B48 PDFBibTeX XMLCite \textit{C. Park} and \textit{R. Saadati}, Adv. Difference Equ. 2012, Paper No. 162, 14 p. (2012; Zbl 1377.39038) Full Text: DOI
Kenari, H. M.; Saadati, Reza; Park, Choonkil Homomorphisms and derivations in \(C^\ast\)-ternary algebras via fixed point method. (English) Zbl 1346.39031 Adv. Difference Equ. 2012, Paper No. 137, 13 p. (2012). MSC: 39B52 17A40 46B03 PDFBibTeX XMLCite \textit{H. M. Kenari} et al., Adv. Difference Equ. 2012, Paper No. 137, 13 p. (2012; Zbl 1346.39031) Full Text: DOI
Kang, Jung Im; Saadati, Reza Approximation of homomorphisms and derivations on non-Archimedean random Lie \(C^\ast\)-algebras via fixed point method. (English) Zbl 1279.39015 J. Inequal. Appl. 2012, Paper No. 251, 10 p. (2012). MSC: 39B82 39B52 46S10 46S50 PDFBibTeX XMLCite \textit{J. I. Kang} and \textit{R. Saadati}, J. Inequal. Appl. 2012, Paper No. 251, 10 p. (2012; Zbl 1279.39015) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Vahidi} et al., J. Inequal. Appl. 2012, Paper No. 168, 16 p. (2012; Zbl 1274.46132) Full Text: DOI
Agarwal, Ravi P.; Cho, Yeol Je; Saadati, Reza; Wang, Shenghua Nonlinear \(\mathcal L\)-fuzzy stability of cubic functional equations. (English) Zbl 1277.39038 J. Inequal. Appl. 2012, Paper No. 77, 19 p. (2012). MSC: 39B82 39B52 46S10 46S40 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., J. Inequal. Appl. 2012, Paper No. 77, 19 p. (2012; Zbl 1277.39038) Full Text: DOI
Cho, Yeol Je; Kang, Jung Im; Saadati, Reza Fixed points and stability of additive funcitonal equations on the Banach algebras. (English) Zbl 1270.39020 J. Comput. Anal. Appl. 14, No. 6, 1103-1111 (2012). Reviewer: Stefan Balint (Timişoara) MSC: 39B82 39B52 46B03 46L57 PDFBibTeX XMLCite \textit{Y. J. Cho} et al., J. Comput. Anal. Appl. 14, No. 6, 1103--1111 (2012; Zbl 1270.39020)
Cho, Yeol Je; Saadati, Reza; Vahidi, Javad Approximation of homomorphisms and derivations on non-Archimedean Lie \(C^\ast\)-algebras via fixed point method. (English) Zbl 1248.39024 Discrete Dyn. Nat. Soc. 2012, Article ID 373904, 9 p. (2012). MSC: 39B82 39B52 39B55 46L05 46L57 46S10 PDFBibTeX XMLCite \textit{Y. J. Cho} et al., Discrete Dyn. Nat. Soc. 2012, Article ID 373904, 9 p. (2012; Zbl 1248.39024) Full Text: DOI
O’Regan, D.; Rassias, J. M.; Saadati, R. Approximations of ternary Jordan homomorphisms and derivations in multi-\(C^*\) ternary algebras. (English) Zbl 1299.39019 Acta Math. Hung. 134, No. 1-2, 99-114 (2012). MSC: 39B52 46L57 39B82 PDFBibTeX XMLCite \textit{D. O'Regan} et al., Acta Math. Hung. 134, No. 1--2, 99--114 (2012; Zbl 1299.39019) Full Text: DOI
Agarwal, Ravi P.; Cho, Yeol Je; Park, Choonkil; Saadati, Reza Approximate homomorphisms and derivation in multi-Banach algebras. (English) Zbl 1290.39014 Commentat. Math. 51, No. 1, 23-38 (2011). MSC: 39B82 39B52 46L57 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Commentat. Math. 51, No. 1, 23--38 (2011; Zbl 1290.39014)
Rassias, John Michael; Saadati, Reza; Sadeghi, Ghadir; Vahidi, J. On nonlinear stability in various random normed spaces. (English) Zbl 1272.39026 J. Inequal. Appl. 2011, Paper No. 62, 17 p. (2011). MSC: 39B82 39B52 46S50 46S10 PDFBibTeX XMLCite \textit{J. M. Rassias} et al., J. Inequal. Appl. 2011, Paper No. 62, 17 p. (2011; Zbl 1272.39026) Full Text: DOI
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 PDFBibTeX XMLCite \textit{R. Saadati} et al., J. Inequal. Appl. 2011, Paper No. 17, 11 p. (2011; Zbl 1266.26048) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S.-s. Zhang} et al., Appl. Math. Mech., Engl. Ed. 32, No. 5, 663--676 (2011; Zbl 1237.39021) Full Text: DOI
Park, Choonkil; Lee, Jung Rye; Rassias, Themistocles M.; Saadati, Reza Fuzzy -homomorphisms and fuzzy -derivations in induced fuzzy -algebras. (English) Zbl 1235.46078 Math. Comput. Modelling 54, No. 9-10, 2027-2039 (2011). MSC: 46S40 PDFBibTeX XMLCite \textit{C. Park} et al., Math. Comput. Modelling 54, No. 9--10, 2027--2039 (2011; Zbl 1235.46078) Full Text: DOI
Sadeghi, Ghadir; Saadati, Reza; Janfada, Mohammad; Rassias, John M. Stability of Euler-Lagrange quadratic functional equations in non-Archimedean normed space. (English) Zbl 1244.39025 Hacet. J. Math. Stat. 40, No. 4, 571-579 (2011). Reviewer: Maryam Amyari (Mashhad) MSC: 39B82 46S10 39B52 PDFBibTeX XMLCite \textit{G. Sadeghi} et al., Hacet. J. Math. Stat. 40, No. 4, 571--579 (2011; Zbl 1244.39025)
Saadati, Reza; Vaezpour, S. Mansour; Park, Choonkil The stability of the cubic functional equation in various spaces. (English) Zbl 1225.39029 Math. Commun. 16, No. 1, 131-145 (2011). Reviewer: Maryam Amyari (Mashhad) MSC: 39B82 39B52 46S10 46S40 PDFBibTeX XMLCite \textit{R. Saadati} et al., Math. Commun. 16, No. 1, 131--145 (2011; Zbl 1225.39029) Full Text: Link
Saadati, Reza; Park, Choonkil Non-Archimedean \(\mathcal L\)-fuzzy normed spaces and stability of functional equations. (English) Zbl 1205.39023 Comput. Math. Appl. 60, No. 8, 2488-2496 (2010). MSC: 39B52 39B82 46S10 PDFBibTeX XMLCite \textit{R. Saadati} and \textit{C. Park}, Comput. Math. Appl. 60, No. 8, 2488--2496 (2010; Zbl 1205.39023) Full Text: DOI
Saadati, Reza; Cho, Yeol J.; Vahidi, Javad The stability of the quartic functional equation in various spaces. (English) Zbl 1205.39029 Comput. Math. Appl. 60, No. 7, 1994-2002 (2010). MSC: 39B82 28E99 39B52 46S10 PDFBibTeX XMLCite \textit{R. Saadati} et al., Comput. Math. Appl. 60, No. 7, 1994--2002 (2010; Zbl 1205.39029) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. J. Cho} et al., Appl. Math. Lett. 23, No. 10, 1238--1242 (2010; Zbl 1203.39015) Full Text: DOI