Associate Professor at Prince Sattam Bin Abdulaziz University, Ministry of Education, Saudi Arabia.
Associate Professor at University of Carthage, Ministry of Higher Education and Scientific Research, Tunisia.
email: i.kedim@psau.edu.sa ; imed.kedim@gmail.com
Representation theory of semi-simple Lie groups.
Representation theory of solvable Lie groups.
Geometry of homogeneous spaces.
Deformation theory of discontinuous actions.
Fixed point theory and applications.
Kedim, I. Berzig, M. A fixed point theorem in abstract spaces with application to Cauchy problem. Fixed point Theory, Volume 24, No.1, 2023, 265-282, February 1st, 2023.
Kedim, I. Berzig, M. Fixed point theorems for Maia α-ψ contractive type mappings with applications. Journal of Mathematical Analysis and Applications (2021).
Abdelli, H. Askri, G. Kedim, I. Equicontinuity of Maps on Local Dendrites. Qualitative Theory of Dynamical Systems (2021).
Berzig, M, Kedim, I. Eilenberg–Jachymski collections and its first consequences for the fixed point theory. Journal of Fixed Point Theory and Applications (2021).
Kedim, I, Berzig, M, Ajmi, NA. Positive coincidence points for a class of nonlinear operators and their applications to matrix equations. Open Mathematics (2020).
Baklouti, A. Boussoffara, M. and Kédim, I. Some problem of deformation on three-step nilpotent Lie groups. Hiroshima Mathematical Journal (2018).
Baklouti, A. Boussoffara, M. and Kédim, I. Stability of discontinuous groups acting on homogeneous spaces. Mathematical Note (2018).
Berzig, M. Kédim, I. and Mannay, A. Multivalued fixed point theorem in b-metric spaces and its application to differential inclusions. Filomat (2018).
Ayari, M. I., Berzig, M., and Kédim, I. Coincidence and common fixed point results for beta-quasi-contractive mappings on metric spaces endowed with a binary relation. Mathematical Sciences, 10 (3) (2016), 105-114.
Kédim, I. Rigidity of discontinuous actions on diamond homogeneous spaces. J. Math. Sci. Univ. Tokyo 23 (2016) 1-23.
Baklouti, A. ElAloui, N., and Kédim, I. The Selberg-Weil-Kobayashi rigidity theorem: the rank one solvable case. Int. J.Math. 27 (10) (2016), 113-136.
Baklouti, A. and Kédim, I. Open problems in deformation theory of discontinuous groups acting on homogeneous spaces. Int. J. Open Problems Comput. Math. , Vol. 6, No. 1, March 2013.
Baklouti, A. and Kédim, I. On the local rigidity of discontinuous groups for exponential solvable Lie groups. Adv. Pure Appl. Math. 4 (2013), 3-20.
Baklouti, A. El Aloui, N., and Kédim, I. A rigidity Theorem and a Stability Theorem for two-step nilpotent Lie groups. J. Math. Sci. Univ. Tokyo 19 (2012), 1-27.
Abdelmoula, L. Baklouti, A., and Kédim, I. The Selberg-Weil-Kobayashi Local Rigidity Theorem for Exponential Lie Groups. Int. Math. Res. Notices, 17 (2012) 4062-4084.
Baklouti, A. and Kédim, I. On non-abelian discontinuous subgroups acting on exponential solvable homogeneous spaces. Int. Math. Res. Notices, 7, 2010 (1315- 1345).
Baklouti, A. Kédim, I., and Yoshino. T. On the deformation space of Clifford-Klein forms of Heisenberg groups. Int. Math. Res. Notices, doi :10.1093/imrn/rnn066.
Baklouti, A. Kédim, I. On the deformation space of Clifford-Klein forms of some exponential homogeneous spaces. Int. J. Math. Vol. 20, No. 7 (2009) 817-839.
Kédim, I. Megdiche. H. Sur le cortex d'un groupe de Lie nilpotent. J. Math. Kyoto. Univ. volume 49, number 1, 2009.
On some topological features of the deformation space of discontinuous actions. Journées d’Eté des Mathématiciens Tunisiens à l’Etranger, 24-25 Juillet 2018
On the local rigidity of discontinuous groups. 4-th Tunisian- Japanese Conference: Geometric and Harmonic Analysis on Homogeneous Spaces and Applications, in honor of Jean Ludwig. 18-23 December 2015.
On discontinuous subgroup acting on homogeneous spaces. 20-th Congress of the Tunisian Mathematical Society., 16 - 19 March 2015.
On discontinuous subgroup acting on solvable homogeneous spaces. 3rd Tunisian- Japanese Conference: Geometric and Harmonic Analysis on Homogeneous Spaces and Applications, 17-21 December 2013.
Deformation theory of discontinuous subgroups. 12th Tunisia-Japan Symposium on Science Society and Technology (TJASSST 2013), 15-17 November 2013.
Deformation theory of discontinuous subgroups. Euro-Maghreb on Algebra Geometry and Lie Theory, 17-20 December 2012.
On the rigidity Conjecture of deformations on solvable Lie groups. 2nd Tunisian- Japanese Conference: Geometric and Harmonic Analysis on Homogeneous Spaces and Applications, 11-17 December 2011.
On discontinuous subgroups acting on homogeneous spaces. 1st Tunisian-Japanese Conference: Geometric and Harmonic Analysis on Homogeneous Spaces, Kerkennah, 2-7 November 2009.
Sur le Cortex d'un groupe exponentiel. CIMPA-UNESCO-Tunisia School, Quantization and Harmonic Analysis, 29 August - 10 September, 2005, Monastir (Tunisie).
. Algebra of structures: Group, Ring and Module.
· Linear Algebra.
· Topology.
· Differential Geometry.
· Affine Geometry.
· Representation Theory of finite groups.
· Lie Groups and Lie Algebras.
· Real Analysis.
· Calculus
· Number Theory