Associate Prof. ÖZGÜR EGE

Department of Mathematics

Ege University, Turkey

Email: ozgur.ege@cbu.edu.tr, ege-ozgur87@hotmail.com

Qualifications

2014 Ph.D., Ege University, Turkey, Mathematics (Algebraic Topology)

2009 BSc., Ege University, Turkey, Mathematics

Publications (Selected)

1. Ozgur EGE and Ismet KARACA, Lefschetz Fixed Point Theorem for Digital Images, Fixed Point Theory and Applications, 2013: 253 DOI:10.1186/10.1186/1687-1812-2013-253 (2013).
2. Ozgur EGE and Ismet KARACA, Cohomology Theory for Digital Images, Romanian Journal of Information Science and Technology, Volume 16, Number 1, 10-28 (2013).
3. Ozgur EGE, Ismet KARACA and Meltem ERDEN EGE, Relative Homology Groups of Digital Images, Applied Mathematics and Information Sciences, Volume 8, No 5, 2337-2345 (2014).
4. Ozgur EGE and Ismet KARACA, Applications of the Lefschetz Number to Digital Images, Bulletin of the Belgian Mathematical Society-Simon Stevin, Volume 21, No 5, 823-839 (2014).
5. Ozgur EGE and Ismet KARACA, Some Results of the Nilpotence in the Mod p Steenrod Algebra, Comptes Rendus de L’Academie Bulgare des Sciences, Volume 67, No 12, 1611-1620 (2014).
6. Ozgur EGE and Ismet KARACA, Some Properties of Digital H-spaces, Turkish Journal of Electrical Engineering and Computer Sciences, Volume 24, No 3, 1930-1941, DOI: 10.3906/elk-1311-69 (2016).
7. Ozgur EGE and Ismet KARACA, Banach Fixed Point Theorem for Digital Images, The Journal of Nonlinear Science and Applications, Volume 8, No 3, 237-245 (2015).
8. Ozgur EGE, Complex Valued Rectangular b-Metric Spaces and an Application to Linear Equations, The Journal of Nonlinear Science and Applications, Volume 8, No6, 1014-1021 (2015).
9. Ozgur EGE and Ismet KARACA, Digital Homotopy Fixed Point Theory, Comptes Rendus Mathematique, Volume 353, No 11, 1029-1033, DOI:10.1016/j.crma.2015.07.006 (2015).
10. Ozgur EGE and Ismet KARACA, Nielsen Fixed Point Theory for Digital Images, Journal of Computational Analysis and Applications, Volume 22, No 5, 874-880 (2017).
11. Ozgur EGE and Ismet KARACA, Fixed Point Theorems and an Application in Parametric Metric Spaces, Azerbaijan Journal of Mathematics, In Press (2017).
12. Laurence BOXER, Ozgur EGE, Ismet KARACA, Jonathan LOPEZ and Joel LOUWSMA, Digital Fixed Points, Approximate Fixed Points, and Universal Functions, Submitted (2015).
13. Ismet KARACA and Ozgur EGE, Applications of the Universal Coefficient Theorem to digital images, Preprint (2015).
14. Ismet KARACA and Ozgur EGE, Cubical Homology in Digital Images, International Journal of Information and Computer Science 1(2012) No.7, 178-187.
15. Ozgur EGE and Ismet KARACA, Nilpotency of Atomic Steenrod Squares, Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi-Serie Noua-Matematica, In Press (2015).
16. Ozgur EGE and Ismet KARACA, Digital Cohomology Operations, Applied Mathematics and Information Sciences, Volume 9, No 4, 1953-1960 (2015).