University of Mohaghegh Ardabili  
Dr Abbas Najati  Full CV  
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Email address  a.najatiuma.ac.ir 
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Full name  Dr Abbas Najati 
Last field of study  Pure Mathematics (Functional Analysis) 
Last university  Tabriz University 
Professional Information  
Department  Department of Mathematics and Applications 
Academic degree  
Professor  
Contact Information  
Telephone  Office/Work  5520457 
Fax  5520456 
Full Address  Department of Mathematical Sciences, University of Mohaghegh Ardabili, Ardabil, Iran 
Zip Code  5619911367 
P.O. Box  
City  Ardabil 
Country  Iran 
Languages  
Academic & scientific positions  
Faculty member of Univesity of Mohaghegh Ardabili  
Research interests  
Frame Theory, Inequalities, Stability of functional equations and Banach Algebras.  
Published articles  
ISI Journals (1) A. Najati, The generalized Hyers–Ulam–Rassias stability of a cubic functional equation, Turkish Journal of Mathematics 31 (2007), 395– 408. (2) A. Najati and C. Park, Hyers–Ulam –Rassias stability of homomorphisms in quasiBanach algebras associated to the Pexiderized Cauchy functional equation, J. Math. Anal. Appl. 335 (2007), 763–778. (3) C. Park and A. Najati, Homomorphisms and derivations in C*algebras, Abstract and Applied Analysis (2007) Article ID 80630, 12 pages. (4) A. Najati and M. B. Moghimi, Stability of a functional equation deriving from quadratic and additive functions in quasi–Banach spaces, J. Math. Anal. Appl. 337 (2008) 399–415. (5) Abbas Najati, Hyers–Ulam–Rassias stability of a cubic functional equation, Bull. Korean Math. Soc. 44 (2007), 825–840. (6) Abbas Najati, Hyers–Ulam stability of an n Apollonius type quadratic mapping, Bull. Belg. Math. Soc. Simon Stevin 14 (2007), 755–774. (7) A. Najati, On the stability of a quartic functional equation, J. Math. Anal. Appl. 340 (2008), 569–574. (8) A. Najati and A. Ranjbari, Stability of homomorphisms for a 3D CauchyJensen type functional equation on Cternary algebras, J. Math. Anal. Appl., 341 (2008), 62–79. (9) A. Najati and G. Zamani Eskandani, Stability of a mixed additive and cubic functional equation in quasi Banach spaces, J. Math. Anal. Appl. 342 (2008), 13181331. (10) Abbas Najati and Choonkil Park, The Pexiderized ApolloniusJensen type additive mapping and isomorphisms between Calgebras, J. Difference Equ. Appl. 14 (2008), 459–479. (11) Abbas Najati and Asghar Rahimi, A fixed point approach to the stability of a generalized Cauchy functional equation, Banach J. Math. Anal. 2 (2008), 105–112. (12) Abbas Najati and F. Moradlou, Stability of a quadratic functional equation in quasi Banach spaces, Bull. Korean Math. Soc. 45 (2008), 587–600. (13) Abbas Najati and A. Rahimi, Euler–Lagrange type cubic operators and their norms on X space, J. Inequal. Appl. (2008), Article ID 195137, 8 pages. (14) A. Najati and C. Park, On the Stability of an n–Dimensional Functional Equation Originating from Quadratic Forms, Taiwanese J. Math. 12 (2008), 1609–1624. (15) A. Najati and C. Park, On the stability of a cubic functional equation, Acta Mathematica Sinica 24 (2008), 1953–1964. (16) Abbas Najati, G. Zamani and C. Park, Stabiliy of homomorphisms and derivations in proper JCQtriples associated to the pexideraized Cauchy type mapping, Bull. Korean Mah. Soc. 46 (2009), 45–60. (17) Abbas Najati and F. Moradlou, Stability of an EulerLagrange type cubic functional equation, Turkish J. Math. 33 (2009), 65–73. (18) M.S. Moslehian and Abbas Najati, An application of a fixed point theorem to a functional inequality, Fixed Point Theory, 10 (2009) No. 1, 141–149. (19) Abbas Najati and C. Park, Fixed points and stability of a generalized quadratic functional equation, J. Inequalities and Applications, (2009) Article ID 193035, 19 pages. (20) Abbas Najati, On a problem of C. Baak and M.S. Moslehian, Applied Mathematics Letters, 22 (2009), 658–660. (21) Abbas Najati, Jordan derivation on Lie triple systems, Bull. Korean Math. Soc. 46 (2009), No. 3, 435–437. (22) Abbas Najati and A. Rahimi, Generalized frames in Hilbert spaces, Bull. Iranian Math. Soc. 35 (2009), No. 1, 97–109. (23) Abbas Najati, C. Park and J.R. Lee, Homomorphisms and derivations in C*ternary algebras, Abst. Appl. Anal. (2009), Article ID 612392, 16 pages. (24) C. Park, W.G. Park and Abbas Najati, Functional equations related to inner product spaces, Abstract and Applied Analysis, (2009), Article ID 907121, 11 pages. (25) Abbas najati, Generalized derivations on Lie triple systems, Result. Math. 54 (2009), 143–147. (26) M. Moghimi, A. Najati and C. Park, A fixed point approach to the stability of a quadratic functional equation in CAlgebras, Advances in Difference Equations, (2009), Article ID 256165, 10 pages. (27) M. Moghimi, A. Najati and C. Park, A functional inequality in restricted domains of Banach modules, Advances in Difference Equations, (2009), Article ID 973709, 14 pages. (28) Abbas Najati and C. Park, Stability of a generalized EulerLagrange type additive mapping and homomorphisms in CAlgebras, Advances in Difference Equations, (2009), Article ID 273165, 22 pages. (29) Abbas Najati, Homomorphisms in quasiBanach algebras associated with a Pexiderized Cauchy–Jensen functional equation, Acta Mathematica Sinica, English Series, 25 (2009), No. 9, 1529–1542. (30) Abbas Najati and Th.M. Rassias, Stability of homomorphisms and derivations, Appl. Anal. Discrete Math. 3 (2009), 264–281. (31) Abbas Najati and Th.M. Rassias, Stability of a mixed functional equation in several variables on Banach modules, Nonlinear Analysis Theory Methods and Applications 72 (2010), 1755–1767. (32) Abbas Najati and Th.M. Rassias, Pexider type operators and their norms in $X_{\lambda}$ spaces, Czechoslovak Mathematical Journal, 59 (134) (2009), 10871094. (33) Abbas Najati and C. Park, Stability of homomorphisms and generalized derivations on Banach algebras, J. Inequal. Appl. (2009), Article ID 595439, 12 pages. (34) F. Moradlou, A. Najati and H. Vaezi, Stability of homomorphisms and derivations on $C^*$ternary rings associated to an EulerLagrange type additive mapping, Result.Math. 55 (2009), 469486. (35) M. Eshaghi Gordji and Abbas Najati, Approximately $J^*$homomorphisms: A fixed point approach, Journal of Geometry and Physics 60 (2010), 809814. (36) Abbas Najati, On the completeness of normed spaces, Applied Mathematics Letters 23 (2010) 880882. (37) Abbas Najati, On generalized Jordan derivations of Lie triple systems, Czechoslovak Mathematical Journal 60 (135) (2010), 541547. (38) Abbas Najati and G. Zamani Eskandani, A fixed point method to the generalized stability of a mixed additive and quadratic functional equation in Banach modules, Journal of Difference Equations and Applications, Vol. 16, No. 7 (2010), 773788. (39) Abbas Najati, JungRye Lee and C. Park, On a CauchyJensen funtional inequality, Bull. Malaysian Math. Sci. Soc. (2) 33 (2) (2010), 253263. (40) A. Ebadian, A. Najati and M. Eshaghi Gordji, On Approximate Additive–Quartic and Quadratic–Cubic Functional Equations in Two Variables on Abelian Groups, Results Math. 58 (2010), 3953. (41) A. Rahimi and A. Najati, A strong quadratic functional equation in $C^*$algebras, Fixed Point Theory, 11 (2010), 361368. (42) A. Najati and S.M. Jung, Approximately quadratic mappings on restricted domains, Journal of Inequalities and Applications, (2010), Article ID503458, 10 pages. (43) A. Rahimi, A. Najati and J.H. Bae, On the asymptoticity aspect of HyersUlam stability of quadratic mappings, Journal of Inequalities and Applications, (2010), Article ID 454875, 14 pages. (44) Abbas Najati and Yeol Je Cho, Generalized HyersUlam stability of the Pexiderized Cauchy functional equation in nonArchimedean spaces, Fixed Point Theory and Applications, (2011), Article ID 309026, 11 Pages. (45) M.R. abdollahpour and A. Najati, Stability of linear differential equations of third order, Applied Mathematics Letters, Volume 24, Issue 11, November (2011), Pages 18271830. (46) M.R. abdollahpour and A. Najati, Approximation of the inverse $G$frame operator, Proceedings Mathematical Sciences, Volume 121, Number 2, (2011), Pages 143154. (47) M. Eshaghi Gordji, A. Najati and A. Ebadian, Stability and superstability of Jordan homomorphisms and Jordan derivations on Banach algebras and $C^*$algebras: A fixed point approach, Acta Mathematica Scientia, Volume 31, Issue 5, September (2011), Pages 19111922. (48) Abbas Najati, Jung Im Kang and Yeol Je Cho, Local stability of the Pexiderized Cauchy and Jensen's equations in fuzzy spaces, Journal of Inequalities and Applications (2011), 2011:78, 8 pages. (49) Abbas Najati, M. R. Abdollahpour and Gwang Hui Kim, On Pexider Differences in Topological Vector Spaces, Abstract and Applied Analysis (2011), Article ID 370104, 10 pages. (50) M. R. Abdollahpour and A. Najati, Besselian $g$frames and near $g$Riesz bases, Appl. Anal. Discrete Math. 5 (2011), 259270. (51) M. Eshaghi Gordji,H. Khodaei and A. Najati, Approximation of cubic mappings with $n$variables in $\beta$normed left Jordan modules on Banach algebras, Bull. Korean Math. Soc. 48 (2011), 10631078. (52) C. Park, A. Najati and S.Y. Jang, Fixed points and fuzzy stability of an addiivequadratic functional equation, J. Computational Analysis and Applications, Vol. 15 (2013), 452462. (53) Abbas Najati, M. Mohammadi Saem and JaeH. Bae, Generalized DunklWilliams inequality in 2inner product spaces, Journal of Inequalities and Applications, 2013: 36 (2013) 8 pages. (54) Mohammad Reza Abdollahpour, Abbas Najati, Choonkil Park, Themistocles M Rassias and Dong You Shin, Approximate perfect differential equations of second order, Advances in Difference Equations , 2012:225 (2012) 5 pages.  (1) A. Rahimi, A. Najati and Y. N. Dehghan, Continuous Frames in Hilbert Spaces, Methods of Functional Analysis and Topology 12 (2006), 170182. (2) Abbas Najati, Stability of homomorphisms on $JB^*$triples associated to a CauchyJensen type functional equation, J. Math. Inequal. 1 (2007), 83103. (3) Abbas Najati, On the stability of homomorphisms in quasiBanach algebras associated to the Pexiderized Jensen functional equation, J. Math. Inequal. 1 (2007), 205223. (4) A. Najati and M. H. Faroughi, $p$frames of subspaces in separable Hilbert spaces, Southeast Asian Bulletin of Mathematics . 31 (2007), 713726. (5) A. Najati and A. Ranjbari, On homomorphisms between $C^*$ternary algebras, J. Math. Ineq. 3 (2007) 387407. (6) A. Najati, A. Rahimi and M.H. Faroughi, Continuous and discrete frames of subspaces in Hilbert spaces, Southeast Asian Bull. Math. 32 (2008) 305324. (7) M.H. Faroughi and A. Najati, Ultra Bessel sequences in Hilbert spaces, Southeast Asian Bull. Math. 32 (2008) 425436. (8) Abbas Najati, Approximation of gframes in Hilbert spaces, African Diaspora J. Math. 6 (2008), 137145. (9) Abbas Najati, M.H. Faroughi and A. Rahimi, Gframes and stability of Gframes in Hilbert spaces, Methods Funct. Anal. Topology. 14 (2008), 271286. (10) Abbas Najati and F. Moradlou, HyersUlamRassias stability of the Aopollonius type quadratic mapping in nonArchimedean spaces, Tamsui Oxford J. Math. Sci. 24 (4) (2008), 367380. (11) Abbas Najati and G. Zamani, Stability of derivations on proper Lie $CQ^*$algebras, Commm. Korean Math. Soc. 24 (2009), 516. (12) Abbas Najati and F. Moradlou, Stability of a mixed additive, quadratic and cubic functional equation in quasi Banach spaces, Australian J. Math. Anal. Appl. 5 (2008), 121. (13) Abbas Najati and G. Zamani, Approximation of a mixed functional equation in quasiBanach spaces, J. Inequalities in Pure and Applied Mathematics, Vol. 10 (2009), Issue 1, Article 24, 17 pages. (14) Abbas Najati, CauchyRassias stability of homomorphisms associated to a Pexiderized CauchyJensen type functional equation, J. Math. Inequal. 3 (2009), 257265. (15) Abbas Najati and F. Moradlou, Stability of a mixed quadratic and additive functional equation in quasiBanach spaces, J. Appl. Math. Informatics Vol. 27 (2009), No. 56, 11771194. (16) Abbas Najati and A. Rahimi, Homomorphisms between $C*$algebras and their stabilities, Acta Universitatis Apulensis, (2009), No. 19, 3546. (17) Abbas Najati, Norm of a Pexiderized generalized cubic operator on $X_\lambda$ space, Nonlinear Functional Analysis and Applications, Vol. 14, No. 4 (2009), 573578. (18) Abbas Najati and S. Ostadbashi, Approximate generalized Jordan derivations on Banach Modules, Nonlinear Functional Analysis and Applications, Vol. 15, No. 1 (2010), 3143. (19) Abbas Najati, Fuzzy stability of a generalized quadratic functional equation, Commun. Korean Math. Soc. 25 (2010), No. 3, 405417. (20) Abbas Najati and Th.M. Rassias, Stability of the Pexiderized Cauchy and Jensen's equations on restricted domains, Comm. Math. Anal. Vol. 8 (2010), No. 2, 125135. (21) Abbas Najati, A CauchyJensen funtional inequality in Banach Modules over a $C^*$algebra, J. Appl. Math. Informatics Vol. 28 (2010), No. 12, 233241. (22)Abbas Najati and Th.M. Rassias, On the stability of a functional equation in topological vector spaces, Comm. Math. Anal. Vol. 10 (2011), No. 2, 1823. (23) Abbas Najati and M. Sal Moslehian, Jordan $(\varphi,\psi)$derivations in $JB^*$triples, Commun. Korean Math. Soc. 26 (2011), 585589. (24) Ostadbashi, Saeid; Najati, Abbas; Solaimaninia, Mahsa; Rassias, Themistocles M. A Pexider difference associated to a Pexider quartic functional equation in topological vector spaces. Involve 6 (2013), no. 4, 505510. (25) Osgooei, E.; Najati, A.; Faroughi, M. H. gRiesz dual sequences for gBessel sequences. AsianEur. J. Math. 7 (2014), no. 3, 1450041, 15 pp. (26) Abdollahpour, Mohammad Reza; Najati, Abbas. Ultra $g$ Bessel sequences in Hilbert spaces. Kyungpook Math. J. 54 (2014), no. 1, 8794. (27) Abdollahpour, M. R., Najati, A.; On approximate Euler differential equations of third order, Mathematica Pannonica, 24 no. 2 (2013), 110. (28) A. Najati and C. Park, CauchyJensen additive mappings in quasiBanach algebras and its applications, Journal of Nonlinear Analysis and Application, Volume 2013 (2013), Article ID jnaa00191, 16 Pages 

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