Biography

Prof. Nicolae Adrian Secelean

Department of Mathematics and Computer Sciences

Lucian Blaga University of Sibiu, Romania

Professor


Email: [email protected]


Qualifications

2015 Habilitation, Babes-Bolyai Univesity of Cluj-Napoca

2001 Ph.D., Romanian Academy, Romania

1986 B.S., University of Bucharest, Romania


Publications (Selected)

Books, Book Chapters, Dissertation

  1. Secelean, N.A., Wardowski, D. (2021). A General Approach on Picard Operators. In: Cho, Y.J., Jleli, M., Mursaleen, M., Samet, B., Vetro, C. (eds) Advances in Metric Fixed Point Theory and Applications. Springer, Singapore. https://doi.org/10.1007/978-981-33-6647-3_20, 2021, Print ISBN: 978-981-33-6646-6; Online ISBN: 978-981-33-6647-3
  2. N.A. Secelean, Countable Iterated Function Systems, LAP Lambert Academic Publishing,2013, ISBN-13: 978-3-659-32030-9; ISBN-10: 3659320307, EAN: 9783659320309
  3. N.A. Secelean, E. De Amo: Topology: from Fundamentals to Euclidean Spaces, Editorial Universidad Alméria, Spain, 2008, ISBN 978-84-8240-912-2

Journals

  1. K.K. Pandey, N.A. Secelean, and P.V. Viswanathan, On bivariate fractal interpolation for countable data and associated nonlinear fractal operator, Demonstratio Mathematica, vol. 57, no. 1, 2024, pp. 20240014. https://doi.org/10.1515/dema-2024-0014
  2. J. Mathew, S. Mathew, N.A. Secelean, On attractors of type 1 iterated function systems, Journal of Applied Mathematics and Informatics, 2024, vol. 42, no.3, pp. 583-605
  3. https://doi.org/10.14317/jami.2024.583 
  4. Zhou, M., Secelean, N.A., Saleem, N., Abbas, M. Best proximity points for alternative p-contractions, Journal of Inequalities and Applications  2024, 4 (2024)
  5. N.A. Secelean, D. Wardowski, On a Certain Class of IFSs and Their Attractors, Qualitative Theory of Dynamical Systems (2022) 21:162, p.1-15, https://doi.org/10.1007/s12346-022-00688-6
  6. N.A. Secelean, D. Wardowski, M. Zhou, The Sehgal’s Fixed Point Result in the Framework of r-space. Mathematics 2022, 10(3), 459;  https://doi.org/10.3390/math10030459
  7. I.M. Olaru, N.A. Secelean, A new approach of some contractive mappings on metric spaces,  Mathematics,  Vol. 9, Issue  12, Article number  1433,  June 2021,  DOI: 10.3390/math9121433
  8. N. Niralda, S. Mathew, N.A. Secelean, On boundaries of attractors in dynamical systems, Communications in Nonlinear Science and Numerical Simulation, Vol. 94, March 2021, 105572, DOI: 10.1016/j.cnsns.2020.105572
  9. M. Zhou,  M.K. Jain, M.S. Khan, N.A. Secelean, Semi-compatible mappings and common fixed point theorems of an implicit relation via inverse C−class functions,  AIMS Mathematics, Vol. 6, Issue 3, 2021: 2636–2652. DOI:10.3934/math.2021160
  10. M. Zhou, L. Xiao-lan, N.A. Secelean, Fixed Point Theorems for Generalized Kannan-Type Mappings in a New Type of Fuzzy Metric Space, Journal of Mathematics, Vol. 2020, Articol number: 1712486,  Published May 31 2020, p.1-16, DOI:10.1155/2020/1712486
  11. N.A. Secelean, D. Wardowski, Expansive mappings on bounded sets and their application to rational integral equations, Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A-Matemáticas (2020), Volume: 114, Issue: 3, Article Number: 134, p.1-9, DOI: 10.1007/s13398-020-00868-6
  12. N.A. Secelean, A New Kind of Nonlinear Quasicontractions in Metric Spaces, Mathematics 2020, Vol. 8, Issue: 5, Article Number: 661, Published April 2020, DOI: 10.3390/math8050661
  13. N.A. Secelean, Generalized F-iterated function systems on product of metric spaces, Journal of Fixed Point Theory and Applications, May 2015DOI: 10.1007/s11784-015-0235-2
  14. E.C. Popa, N.A. Secelean, Estimates for the constants of Landau and Lebesgue via some inequalities for the Wallis ratio, Journal of Computational and Applied Mathematics, Vol.. 269 (2014), 68-74, DOI:10.1016/j.cam.2014.03.020
  15. N.A. Secelean, Generalized Iterated Function Systems on the space l^\infty(X), Journal of Mathematical Analysis and Applications, Vol. 410, Issue 2, 15. Feb. 2014, 847-858. DOI:10.1016/j.jmaa.2013.09.007
  16. N.A. Secelean, Iterated Function Systems consisting of F-contractions, Fixed Point Theory and Applications, 2013, 2013:277. DOI:10.1186/1687-1812-2013-277
  17. M. Olaru, N.A. Secelean, Vector comparison operators in cone metric spaces, Mathematical Report, Vol. 16 (66), No.3 (2014), 431-442
  18. N.A. Secelean, Invariant measure associated with a Generalized Countable Iterated Function System, Mediterranean Journal of Mathematics, 11 (2014), 361-372. DOI 10.1007/s00009-013-0300-2
  19. L. Suciu , W. Majdak , N.A. Secelean, Ergodic properties of operators in some semi-Hilbertian spaces, Linear and Multilinear Algebra, vol. 61, issue 2, 2013, p.139-159. DOI: 10.1080/03081087.2012.667094
  20. N.A. Secelean, The existence of the attractor of countable iterated function systems, Mediterranean Journal of Mathematics, No. 1, Vol. 9, 2012,  pp. 61-79. DOI: 10.1007/s00009-011-0116-x
  21. E.C. Popa, N.A. Secelean, On some inequality for the Landau constants, Taiwanese Journal of Mathematics, Vol.15, No.4, August 2011, p. 1457-1462
  22. N.A. Secelean, Continuous dependence on a parameter of the countable fractal interpolation Function, Carpathian Journal of Mathematics, 27, 2011, No.1, p.131-141
  23. N.A. Secelean, Fractal countable interpolation scheme: existence and affine invariance, Mathematical Reports, Volume: 13,Issue: 1, 2011, p. 75-87
  24. (ISI) A Mihail, N.A. Secelean, On the connectivity of the attractors of recurrent iterated function systems, Mathematical Reports, vol. 13(63), No. 4, 2011, p. 363-376
  25. N.A. Secelean, Generalized countable iterated function systems, Filomat, 25:1 (2011), p.21-36. DOI:10.2298/FIL1101021S

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