Fridoun Moradlou , Ph.D.
Professor of Mathematics

Interests:
Functional Equations and Inequalities, Fixed Point Theory, Nonlinear Optimization, Variational Analysis, Frame Theory

Email:  moradlou@sut.ac.ir & fridoun.moradlou@gmail.com
Phone: +984133459049 (Work)
Fax: +984133444300
 

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Education:
·         Ph.D, Pure Mathematics ( Analysis),  University of Tabriz, Tabriz, Iran, 2005-2009.
·         M.Sc, Pure Mathematics ( Analysis),  University of Tabriz, Tabriz, Iran., 2003-2005.
·         B.Sc, Pure Mathematics, Razi University, Kermanshah, Iran, 1999-2003.

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Academic Positions:

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Professional Membership:
Iranian Mathematical Society

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Areas of Interests:
Functional Equations and Inequalities, Fixed Point Theory, Nonlinear Optimization, Variational Analysis, Frame Theory

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Language:
Persian, Azari ( mother tunge), English (second language)

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Teaching Experience:
Differential Equations  (B.Sc)                                     
Mathematics 1  (B.Sc)    
Mathematics 2 (B.Sc) 
Topology
Real Analysis 1 ( M.Sc)
Real Analysis 2 (M.Sc)
Functional Analysis 1 ( M.Sc)
Functional Analysis 2 ( M.Sc)
On Linear and Nonlinear Analysis ( M.Sc)
Operator Theory (Ph.D)
Banach Algebras (Ph.D)
Variational Analysis (Ph. D)
Nonlinear analysis (Ph. D)

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(Co-) Supervised Ph.D
 

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Graduate Students:
·         Ph.D. Supervision
 
1- Sattar Alizadeh, Ph.D., (supervisor) Generalization of iterative processes, convergence theorems and their applications, June 2015.
2- Zeynab Jouymandi, Ph.D., (supervisor) In progress
 
 
·         M.Sc. Supervison
1- Maryam Akbari Kalalagh, F-Implicit Complementarity Problems in Banach Spaces, September 2011. (Supervised)  
2-Foruzan Rezaei,  Vector F-complementarity problems for point -to-set mapping, September 2011.  (Supervised)  
3- Shahin Fathollahi, Some results on fixed points of multifunctions on abstract metric spaces, September 2012. (Supervised)  
4- Jamileh Mardkary, Strong convergence theorems for relatively nonexpansive mappings in Banach spaces with applications, September 2012. (Supervised)  
5- Mina Salimi, The generalized f-projection operator and set-valued variational inequalities in Banach spaces, September 2012. (Supervised)  
6- Peyman Salimi, KKM mappings in metric type spaces, September 2012. (Supervised)  
7- Mina Aatapour, Strong convergence theorem for 2-generalized hybrid mappings in Hilbert spaces, September 2013. (Supervised)  
8- Nooshin Rahimiyan, Symmetric spaces approach to some fixed point results, September 2013. (Supervised)  
9- Hadi Abedi, Fixed points, selections and common fixed points for nonexpansive-type mappings, September 2013. (Supervised)  
10- Fariba Ahmadi, Strong convergence theorem by a new hybrid method for equilibrium problems and variational inequality problems, September 2014. (Supervised)  
11- Reza Azad, Strong convergence theorems by monotone hybrid metho d for a family of generalized nonexpansive mappings in Banach spaces, September 2014. (Supervised)  
12- Somaye Dehghanpouri, Some applications of the KKM-mapping principle in Hyperconvex metric spaces, September 2014. (Supervised)  
13- Rogaye Zolfalizade, KKM mappings in metric spaces, September 2014. (Supervised)  
14- Zahra Chalipa, Nonsmooth Vector Optimization Problems and Minty Vector Variational Inequalities, September 2014. (Advisor) 
15-  Samira Reyhani Khosroshahi, Multi-step implicit iterative methods with regularization for minimization problems and fixed point problems, September 2014. (Advisor) 
16- Fatemeh Tagavi, Attractive point theorems and ergodic theorems for nonlinear mappings in Hilbert spaces, September 2015. (Supervised) 
17- Amine Yousefi, Weak and strong convergence theorems for mixed equilibrium problems in banach space, September 2015. (Supervised)
18- Mahsa Roshani Oskuei,  Weak convergence theorems for general equilibrium problems and variational inequality problems and fixed point problems in  Banach spaces,  September 2015. (Supervised)
19- Rahim Gazi, Extragradient methods and linesearch algorithms for solving Ky Fan inequalities and fixed point problems, September 2016. (Supervised)
20- Zahra Karamyar, On extragradient-viscosity methods for solving equilibrium and fixed point problems in a Hilbert space, September 2016. (Supervised)
 
 

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References:
Professor Hamid Vaezi, University of Tabriz, Tabriz, Iran, hvaezi@tabrizu.ac.ir
Professor Yadollah Naejdad Dehgan, University of Tabriz, Tabriz, Iran.
 

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Awards and Distinctions:
 

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Referee for Journals and Databases:
·         Mathematical Reviews (MathSciNet)- American Mathematical Society   
 

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Conference Presentations:
1)The 38^th  Annual Iranian Mathematics conference, Zanjan – Iran, a talk on “Stability of a new functional equation in quasi – Banach spaces”.
 
2)The 41^th Annual Iranian Mathematics conference, Urmia – Iran, “On frame Wavelet sets for”.
 
3)The 20^th  Seminar on Mathematical Analysis and Its Applications, Maragheh, Iran,
a talk on  “ A generalization of Edelstein--Suzuki theorem”
 
4)The 43^th Annual Iranian Mathematics conference, Tabriz – Iran, a talk on “ On Edelstein-Suzuki-type fixed point theorem”
 
5)The 43^th Annual Iranian Mathematics conference, Tabriz – Iran , a poster on “Some fixed Point results in Cone Banach type Spaces”
 
6)The 14^th Iranian Conference on Fuzzy Systems,  Tabriz – Iran, a talk on “Stability of Cuachy functional equation in fuzzy normed linear spaces”
 
7)The 14^th Iranian Conference on Fuzzy Systems,  Tabriz – Iran, a talk on  “Fuzzy normed linear spaces are not classical normable in general”
 
8)The 45^th  Annual Iranian Mathematics conference, Semnan – Iran, , a talk on  “New iterative method for equilibrium problems and fixed point problems”
 
9)The 45^th  Annual Iranian Mathematics conference, Semnan – Iran, , a talk on “Convergence Theorems for a class of nonlinear mappings”
 
10)The 46^th  Annual Iranian Mathematics conference, Yazd - Iran, , a talk on “A convergence theorem by extragradient method for variational inequalities in Banach spaces”
 
11)The 46^th  Annual Iranian Mathematics conference, Yazd - Iran, , a talk on “Convergence theorems for a broad class of nonlinear mappings”
 
12)The 47^th  Annual Iranian Mathematics conference, Karaj - Iran,  a talk on “Extragradient Method For Solving Variational Inequality And Equilibrium Problem In Banach”
 
13)The 47^th  Annual Iranian Mathematics conference, Karaj - Iran,  a talk on “Extragradient Method For Solving Variational Inequalities And Fixed Point Problems”
 
14)2^th International Conference on Analysis and Its Applications (ICAA-2016), Kirsehir – Turkey, a talk on “Extragradient method for solving equilibrium problem in Banach”
 
15)The 22^th  Seminar on Mathematical Analysis and Its Applications, Bonab, Iran, a talk on  “Finding a zero point of maximal monotone operator by linesearch method in Banach spaces”
 
16)The 22^th  Seminar on Mathematical Analysis and Its Applications, Bonab, Iran, a talk on  “Extragradient method for finding a zero point of maximal monotone operator and a solution of variational inequalities”
 
 
 
 

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Publications:

1. Moradlou, Fridoun; Vaezi, Hamid; Park, Choonkil , “Fixed points and stability of an additive functional equation of n-Apollonius type in C *-algebras”, Abstr. Appl. Anal. 2008, Art. ID 672618, 13 pp. (JCR)

 

2. Najati, Abbas; Moradlou, Fridoun, “Stability of a quadratic functional equation in quasi-Banach spaces”, Bull. Korean Math. Soc. 45 (2008), no. 3, 587-600. (JCR)

 
 

3. Park, Choonkil; An, Jong Su; Moradlou, Fridoun, “Additive functional inequalities in Banach modules”, J. Inequal. Appl. 2008, Art. ID 592504, 10 pp. (JCR)

 

4. A. Najati and F. Moradlou, “Stability of a mixed additive, quadratic and cubic functional equation in quasi-Banach spaces”, Aust. J. Math. Anal. Appl. 5 (2008), no. 2, Art. 10, 21 pp.

 
 

5. Najati, Abbas; Moradlou, Fridoun, “Hyers-Ulam-Rassias stability of the Apollonius type quadratic mapping in non-Archimedean spaces”, Tamsui Oxf. J. Math. Sci. 24 (2008), no. 4, 367--380.

 

6. Najati, A.; Moradlou, F. “Stability of an Euler-Lagrange type cubic functional equation”, Turkish J. Math. 33 (2009), no. 1, 65--73. (JCR)

 
 

7.  Moradlou, Fridoun; Vaezi, Hamid; Eskandani, G.Zamani
    “ Hypers-Ulam-Rassias stability of a quadratic and additive functional equation

         in quasi-Banach spaces”,  Mediterr. J. Math. 6, No. 2, 233-248 (2009).    (JCR)
 

8. Park, Choonkil; Moradlou, Fridoun, “Stability of homomorphisms and derivations in C*-ternary rings”,  Taiwanese J. Math. Vol. 13, No. 6B, 1985-1999,  (2009) (JCR)

 

9. Moradlou, Fridoun; Najati, Abbas; Vaezi, Hamid, “Stability of homomorphisms and derivations on C*-ternary rings associated to an Euler--Lagrange type additive mapping”, Result. Math. 55, 469–486 (2009). (JCR)

 

10. Abbas Najati and F. Moradlou, "Stability of a mixed quadratic and additive functional equation in quasi-Banach spaces," J. Appl. Math. & Informatics Vol. 27 (2009), No. 5-6, 1177-1194.

 

11. Eskandani, G. Z.; Vaezi, H.; Moradlou, F. "On the Hyers-Ulam-Rassias stability of functional equations in quasi-Banach spaces," Int. J. Appl. Math. Stat. 15 (2009), No. D09, 1-15.

 

12. Fridoun Moradlou, Choonkil Parkand Jung Rye Lee; “Hyers-Ulam-Rassias

Stability of $n$-Apollonius type additive mapping and isomorphisms in $C^*$-algebras”  Int. Journal of Math. Analysis, Vol. 6, 2012, no. 3, 111 – 128.
 

13. Fridoun Moradlou and G. Zamani Eskandani; “Approximate $C^*$-Algebra Homomorphisms Associated to an Apollonius - Jensen type Additive Mapping; A Fixed Point Approach” Nonlinear Analysis; Springer Optimization and Its Applications, 2012, Volume 68, 457-470, DOI: 10.1007/978-1-4614-3498-6_27 (book chapter)

 

14. Fridoun Moradlou, “Additive functional inequalities and derivations on Hilbert $C^{*}$-modules”,  Glasg. Math. J. 55 (2013) 341–348. (JCR)

 

15. Erdal KARAPINAR , Fridoun MORADLOU, Peyman SALIMI; “Common fixed point theorem for three mappings in Banach valued norm spaces” GU. J. Sci. 26(1)  (2013), 39-45.

 

16. Fridoun Moradlou, “Approximate Euler - Lagrange - Jensen type additive mapping in multi - Banach spaces, A Fixed Point Approach”, Commun. Korean Math. Soc. 28 (2013), No. 2,  319-333.

 
 

17. Ildar Sadeqi, Fridoun Moradlou and Mitra Salehi; “On approximate Cauchy equation in Felbin's type fuzzy normed linear spaces,” Iran. J. Fuzzy Syst. 10, No. 3, (2013) pp. 51-63. (JCR)

 

18. Fridoun Moradlou, Peyman Salimi and Pasquale Vetro, “Some new extensions of Edelstein-Suzuki-type fixed point theorem to G-metric and G-cone metric spaces”, Acta Math. Sci. Ser. B Engl. Ed. 2013, 33 B (4):1049–1058. (JCR)

 
 

19. Fridoun Moradlou, Peyman Salimi and Pasquale Vetro, “Fixed point results for $r$-$(\mathbf{\eta},\xi,\psi)$-contractive mappings of type $(I)$, $(II)$ and $(III)$”, Filomat 27:2 (2013), 403–410. (JCR)

 
 

20. Fridoun Moradlou and Peyman Salimi, “EDELSTEIN-SUZUKI FIXED POINT THEOREM IN METRIC AND CONE METRIC SPACES; AN IMPLICIT RELATION APPROACH,” ROMAI J., v.9, no.1 (2013), 79–89.

 

21. Fridoun Moradlou and  Madjid Eshaghi Gordji; “Approximate Jordan derivations on Hilbert $C^{*}-$ modules” Fixed Point Theory 14(2013), No. 2, 413-426. (JCR)

 
 

22. Fridoun Moradlou,  Saber Rezaee and Ildar Sadeqi; “Approximate Quadratic functional equation in Felbin's type normed linear spaces”  Hacet. J. Math. Stat. 42 (5) (2013), 501 - 516. (JCR)

 
 
 

23. Fridoun Moradlou and  Themistocles M. Rassias, “Generalized Hyers-Ulam-Rassias stability for a general additive functional equation in quasi- -normed spaces”, Bull. Korean Math. Soc. 50 (2013), No. 6, pp. 2061–2070. (JCR)

 
 

24. Fridoun Moradlou, Peyman Salimi and Stojan Radenovic, “Implicit Relation and Eldestein-Suzuki-type Fixed Point Results in Cone Metric Spaces” Applied Mathematics E-Notes, 14(2014), 1-12.

 
 

25. Sattar Alizadeh , Fridoun Moradlou, Peyman Salimi, “Some fixed point results for

$(\alpha,\beta)$-$(\psi,\phi)$-contractive mappings” Filomat 28:3 (2014),           635–647.( JCR)
 
 

26. Fridoun Moradlou and  Themistocles M. Rassias, “On the generalized Hyers–Ulam stability in multi - Banach spaces associated to an Jensen – type additive mapping” MATHEMATICS WITHOUT BOUNDARIES: SURVEYS IN PURE MATHEMATICS.

 
 

27. Sattar Alizadeh and Fridoun Moradlou, “Weak and strong convergence theorems for m-generalized hybrid mappings in Hilbert spaces”,  Topol. Methods Nonlinear Anal. 46, No. 1, (2015), 315–328. (JCR)

 

28. Fridoun Moradlou and Peyman Salimi, “Common fixed point theorems in cone Banach type spaces”,  Hacet. J. Math. Stat. 44 (3) (2015), 597 – 606. (JCR)

 

29. Sattar Alizadeh and Fridoun Moradlou, “A Strong Convergence Theorem for
    Equilibrium problems and Generalized Hybrid mappings”, Mediterr. J. Math. 13(1) (2016) 379-390.  DOI:10.1007/s00009-014-0462-6 (JCR)

 
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30. Sattar Alizadeh and Fridoun Moradlou, “A weak Convergence theorem for 2-generalized Hybrid mappings” ROMAI J.  v.11, no.1(2015), 131–138.

 
 

31. Sattar Alizadeh and Fridoun Moradlou, “Approximate a quadratic mapping in multi - Banach spaces, a fixed point approach” Int. J. Nonlinear Anal. Appl. 7 (2016) No. 1, 63-75   (ISI)

 
 

32. Sattar Alizadeh and  Fridoun Moradlou, "Weak convergence theorems for $2$-generalized hybrid mappings and equilibrium problems"  Commun. Korean Math. Soc. 31 (2016), No. 4, pp. 765-777.

 

33. Sattar Alizadeh and Fridoun Moradlou, “Weak and strong convergence theorems and a nonlinear ergodic theorem for $N$-generalized hybrid mappings” Asian-Eur. J. Math.  10, No. 1 (2017) 1750001 (15 pages), DOI: 10.1142/S1793557117500012 (ISI)

 

34. Fridoun Moradlou and Sattar Alizadeh, “Weak convergence theorems for symmetric generalized hybrid mappings in uniformly convex Banach spaces”,  Bull. Iranian Math. Soc. 43 (2017),  No. 3,  617-627. (JCR)

 

35. Zeynab Jouymandi, Fridoun Moradlou “Extragradient methods for solving equilibrium problems, variational inequalities, and fixed point problems” Numer. Funct. Anal. Optim. 38 (2017), No. 11, 1391–1409 DOI: 10.1080/01630563.2017.1321017  (JCR)

 

36. Sattar Alizadeh, Hossein Dehghan, Fridoun Moradlou, “$\Delta$-convergence theorems for inverse-strongly monotone mappings in CAT(0) spaces”, Fixed Point Theory. 19, No. 1, 2018, 45-56. (JCR)

 

37. Zeynab Jouymandi, Fridoun Moradlou “Extragradient methods for split feasibility problems and generalized equilibrium problems in Banach spaces”  Math. Methods Appl. Sci. 41, (2018) 826–838. (JCR)

 

38.   Zeynab Jouymandi, Fridoun Moradlou “Retraction algorithms for solving                           variational inequalities, pseudomonotone equilibrium problems and fixed point problems in Banach spaces”  Numer. Algorithms 78,  (2018), 1153–1182. DOI: 10.1007/s11075-017-0417-7. (JCR)

 

39. Milad Karimi, Fridoun Moradlou, Mojtaba Hajipour,  “On regularization and error estimates for the backward heat conduction problem with time-dependent thermal diffusivity factor” Commun. Nonlinear Sci. Numer. Simul., 63, 2018, 21-37 DOI: 10.1016/j.cnsns.2018.03.007 (JCR)

 

40. Sattar Alizadeh, Fridoun Moradlou, “New hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces” Int. J. Nonlinear Anal. Appl. 9 (2018) No. 1, 147-159  (ISC).

 

41. Zeynab Jouymandi, Fridoun Moradlou, “$J$-variational inequalities and zeroes of a family of maximal monotone operators by sunny generalized nonexpansive retraction”  Comp. Appl. Math. 37  (2018), 5358–5374. (JCR)

 

42. Zeynab Jouymandi, Fridoun Moradlou, “Extragradient and linesearch algorithms for solving equilibrium problems, variational inequalities and fixed point problems in Banach spaces”  Fixed Point Theory, 20 (2019), No. 2, 523-540. (JCR)

 

43. Zeynab Jouymandi, Fridoun Moradlou, “Extragradient and linesearch methods for solving split feasibility problems in Hilbert spaces”  Math. Methods Appl. Sci. 42 (2109), 4343-4359. DOI: 10.1002/mma.5654   (JCR)

 

44. میلاد کریمی، فریدون مرادلو و مجتبی حاجی پور، روش منظم‌سازی موجک شانون برای مسئلۀ     کوشی وابسته به معادلۀ هلمهولتز. مجله پژوهشهای ریاضی دانشگاه خوارزمی، ‌جلد 7 ،شماره 2 ، تابستان 1400 ، صفحه 388-371 .

 

45. Milad Karimi, Fridoun Moradlou, Mojtaba Hajipour,  “Regularization Technique for an Inverse Space-Fractional Backward Heat Conduction Problem.” J. Sci. Comput. 83 (2) (2020), 37 DOI: 10.1007/s10915-020-01211-2 (JCR)

 

46. Milad Karimi, Fridoun Moradlou, Mojtaba Hajipour,  “On the ill-posed analytic continuation problem: An order optimal regularization scheme” Applied Numerical Mathematics 161 (2021) 311–332 (JCR)

 

47. شهناز محمدي، فريدون مرادلو ، مجتبي حاجي پور، تحليل ديناميکي سيستم شکار-شکارچي مرتبه کسري مبتني بر تابع ميتاگ-لفلر. مجله مدل سازی پیشرفته ریاضی، سال  ۱۴۰۰، دوره ۱۱ ، شماره ۱ ، صفحه ۶۰-۴۹

 

48. Sattar Alizadeh, Fridoun Moradlou, “A monotone hybrid algorithm  for a family

of generalized nonexpansive mappings in Banach spaces”  to appear in   Int. J. Nonlinear Anal. To (ISC).
 

49. Maryam Safari, Fridoun Moradlou,  “Shrinking hybrid method for multiple-sets split feasibility problems and variational inequality problems”  to appear in   Ricerche di Matematica (JCR).

 

50. Maryam Safari, Fridoun Moradlou, Ali Asghar Khalilzadeh,  “Hybrid proximal point algorithm for solving split equilibrium problems and its applications”  to appear in  Hacet. J. Math. Stat. (JCR).

  
 

 

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