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Nonlinear Analysis Research Group

1. Introduction

Nonlinear Analysis Research Group is an official research unit of Ton Duc Thang University. The group concentrates on Fixed Point Theory that is one of the most powerful and fruitful tools of modern mathematics and may be considered as a core subject of nonlinear analysis

2. Mission and vision

- To study some topics of nonlinear analysis and their applications;

- To be a good research and educational nonlinear analysis group with emphasis on co-op training and researching activities.

3. Research topics

- New forms of fixed point theorems;

- Some open problems in metric fixed point theory;

- Applications of fixed point results to solutions of integral equations, differential equations, other branches of nonlinear analysis, optimization, dynamic systems.

4. Current members

NARG_Stojan_Radenovic.jpg

Dr. Stojan Radenovic

Position: Head of the Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Areas of expertise: Nonlinear Analysis, Functional Analysis

Research track record (until May of 2017):

• ISI papers: 129

• Total ISI Citations: 1790

• ISI H-index: 23

• Top ISI journals (at most 5):

1. Applied Mathematics and Computation

2. Computers and Mathematics with Applications

3. Journal of Mathematical Analysis and Applications

4. Nonlinear Analysis-TMA

5. Applied Mathematics Letters

NARG_Nguyen_Van_Dung.jpg

Dr. Nguyen Van Dung

Position: Member of the Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Areas of expertise: Computational biophysics

Research track record (until October of 2015):

• ISI papers: 12

• Top ISI journals (at most 5):

1. Topology and its Applications

2. Publications de l'Institut Mathématique

3. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

4. Fixed Point Theory and Applications

NARG_Mujahid_Abbas.jpg

Dr. Mujahid Abbas

Position: Member of the Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Areas of expertise: Topological Vector Spaces and Nonlinear Operator Theory, Best Approximations, Fuzzy Logic, Fixed Point Theory and its Applications, Soft Set Theory, Convex Optimization Theory

Research track record (until February of 2016):

• ISI papers: 124

• Total ISI Citations: 1030

• ISI H-index: 17

• Top ISI journals (at most 5):

1. Discrete Dynamics in Nature and Society

2. Fixed Point Theory and Applications

3. Hacettepe Journal of Mathematics Statistics

4. Journal of Mathematical Analysis and Applications

5. Fixed Point Theory

NARG_Francesco_Vetro.jpg

Dr. Francesco Vetro

Position: Member of the Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Areas of expertise: Fixed Point Theory, Algebraic Geometry

NARG_Zoran_D._Mitrovic.jpg

Dr. Zoran D. Mitrovic

Position: Member of the Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Areas of expertise: Nonlinear Analysis, Fixed Point Theory, KKM theory

DEMASTED_Sumit_Chandok.jpg

Dr. Sumit Chandok

Position: Member of the Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Areas of expertise: Nonlinear Analysis, Fixed Point Theory

NARG-Bessem-Samet.jpg

Dr. Bessem Samet

Position: Member of the Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Areas of expertise: Partial Differential Equations, Fractional Differential Equations; Fixed Point Theory

5. Former members (name, title, picture)

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6. Publications (ISI or Scopus only)

34. Zoran D. Mitrovi´c, Reny George, Nawab Hussain  (2018); Some Remarks on Contraction Mappings in Rectangular b-metric Spaces; Boletim da Sociedade Paranaense de Matematica (Scopus).

33. Nguyen Van Dung, Vo Thi Le Hang (2018); Stability of a mixed additive and quadratic functional equation in quasi-Banach spaces; Journal of Fixed Point Theory and Applications (ISI).

32. Nguyen Van Dung, Vo Thi Le Hang (2018); On The Completion Of b - Metric Spaces; Bulletin of the Australian Mathematical Society (ISI).

31. Nguyen Van Dung, Vo Thi Le Hang (2018); On two questions of A. Petruşel and G. Petruşel in b-metric fixed point theory; Journal of Fixed Point Theory and Applications (ISI).

30. Shaban Sedghi, Nabi Shobkolaei, Tatjana Došenović, Stojan Radenović (2018); Suzuki-type of common fixed point theorems in fuzzy metric spaces; Mathematica Slovaca (ISI).

29. Francesca Vetro, Stojan Radenović (2018); Some results of Perov type in rectangular cone metric spaces; Journal of Fixed Point Theory and Applications (ISI).

28. Zoran D. Mitrovi´c, Stojan Radenovi´c, Francesca Vetro, Jelena Vujakovi´c (2018); SOME REMARKS ON TAC-CONTRACTIVE MAPPINGS IN b-METRIC SPACES; MATEMATICKI VESNIK (Scopus).

27. Francesca Vetro (2018); Fixed point results for ordered S-G-contractions in ordered metric spaces; Nonlinear Analysis: Modelling and Control (ISI).

26. Nguyen Van Dung, Vo Thi Le Hang (2018); The generalized hyperstability of general linear equations in quasi-Banach spaces; Journal of Mathematical Analysis and Applications (ISI).

25. Stojan Radenovic, Sumit Chandok (2018); Simulation Type Functions and Coincidence Points; FILOMAT (ISI).

24. Stojan Radenovic, Francesca Vetro, Jelena Vujaković (2017); An alternative and easy approach to fixed point results via simulation functions; Demonstratio Mathematica (Scopus).

23. Nguyen Van Dung, Vo Thi Le Hang (2018); The generalized Banach contraction conjecture in b-metric spaces; Journal of Fixed Point Theory and Applications (ISI).

22. Nguyen Van Dung, Vo Thi Le Hang (2017); Remarks On Partial b-Metric Spaces And Fixed Point Theorems; MATEMATICKI VESNIK ˇ MATEMATIQKI VESNIK (Scopus).

21. V Pragadeeswarar, G Poonguzali, M Marudai, Stojan Radenović (2017); Common best proximity point theorem for multivalued mappings in partially ordered metric spaces; Fixed Point Theory and Applications (Scopus).

20. Reny George, R Rajagopalan, Hossam A Nabwey, Stojan Radenović (2017); Dislocated cone metric space over Banach algebra and α-quasi contraction mappings of Perov type; Fixed Point Theory and Applications (Scopus).

19. Stojan Radenović, Francesca Vetro (2017); Some Remarks on Perov Type Mappings in Cone Metric Spaces; Mediterranean Journal of Mathematics (ISI).

18. V Pragadeeswarar, G Poonguzali, M Marudai, Stojan Radenović (2017); Common best proximity point theorem for multivalued mappings in partially ordered metric spaces; Fixed Point Theory and Applications (Scopus).

17. Nguyen Trung Hieu, Nguyen Van Dung (2017); Hybrid Projection Algorithm for Two Finite Families of Asymptotically Quasi ϕ-Nonexpansive Mappings in Reflexive Banach Spaces; Numerical Functional Analysis and Optimization (ISI).

16. Nguyen Van Dung, Vo Thi Le Hang (2017); On the metrization problem of v-generalized metric spaces; Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (ISI).

15. Nguyen Van Dung; On the completion of partial metric spaces; Quaestiones Mathematicae (2017) (ISI).

14. Reny George, Hossam A Nabwey, R Rajagopalan, Stojan Radenovic, KP Reshma (2017); Rectangular cone b-metric spaces over Banach algebra and contraction principle; Fixed Point Theory and Applications, Vol. 2017, Article number 14 (Scopus).

13. Nguyen Van Dung, Vo Thi Le Hang, Diana Dolicanin-Djekic (2017); An equivalence of results in C∗-algebra valued b-metric and b-metric spaces; Applied General Topology, Vol. 18 (2), pp. 241-253 (Scopus).

12. Vo Thi Le Hang, Nguyen Van Dung; Answers to questions on multivalued fractals in b-metric spaces; Indagationes Mathematicae, Vol. 28 (4), pp. 749-759 (ISI).

11. Muhammad Arshad, Zoran Kadelburg, Stojan Radenovic, Abdullah Shoaib, Satish Shukla; Fixed Points of α-Dominated Mappings on Dislocated Quasi Metric Spaces; Filomat, Vol. 31 (11) (2017), pp. 3041–3056 (ISI).

10. Yumnam Rohena, Tatjana Dosenovi, Stojan Radenovic; A Note on the Paper ”A Fixed Point Theorems in Sb-Metric Spaces”; Filomat, Vol. 31 (11) (2017), pp. 3335–3346 (ISI).

9. Stojan Radenovic, Tran Van An, Le Thanh Quan; Some coincidence point results for T-contraction mappings on partially ordered b-metric spaces and applications to integral equations; Nonlinear Analysis: Modelling and Control, Vol. 22 (4) (2017), pp. 545–565 (ISI).

8. Nguyen Van Dung, Vo Thi Le Hang; Remarks on cyclic contractions in b-metric spaces and applications to integral equations; Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, Vol. 111 (1) (2017), pp. 247–255 (ISI).

7. Nguyen Van Dung, Vo Thi Le Hang; Best proximity point theorems for cyclic quasi-contraction maps in uniformly convex banach spaces; Bulletin of the Australian Mathematical Society, Vol. 95 (1) (2017), pp. 149-156 (ISI).

6. Nguyen Van Dung, Vo Thi Le Hang; On regular semimetric spaces having strong triangle functions; Journal of Fixed Point Theory and Applications (2016) (ISI).

5. Tatjana Došenović, Mihai Postolache, Stojan Radenović; On multiplicative metric spaces: survey; Fixed Point Theory and Applications, Volume 2016 (2016), 2016:92 (Scopus).

4. Stojan Radenovic, K.P.R. Rao, K.V.Siva Parvathi, Tatjana Dosenovic; A suzuki type common tripled fixed point theorem for a hybrid pair of mappings; Miskolc Mathematical Notes, Volume 17 (2016), pp. 533–551 (ISI).

3. Mujahid Abbas, Talat Nazir, Branislav Popović, Stojan Radenović; On Weakly Commuting Set-Valued Mappings on a Domain of Sets Endowed with Directed Graph; Results in Mathematics (2016), DOI: 10.1007/s00025-016-0588-x (ISI).

2. Mujahid Abbas, Talat Nazir, Tatjana Aleksić Lampert, Stojan Radenović; Common fixed points of set-valued F-contraction mappings on domain of sets endowed with directed graph; Computational and Applied Mathematics, DOI: 10.1007/s40314-016-0314-z (2016) (ISI).

1. Zoran Kadelburg, Stojan Radenović, Jelena Vujaković; A note on the paper ‘Fixed point theorems for cyclic weak contractions in compact metric spaces’; Fixed Point Theory and Applications, Volume 2016 (2016), 2016:46 (Scopus).

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