Main Publications
Andrikopoulos A., Sampanis N., A Characterization Framework for Stable Sets and Their Variants, forthcoming.
Andrikopoulos A., Gounaridis J., A Unified Approach to Quasi-Uniform Completion: Bridging MacNeille, Dedekind and Doitchinov’s Theories with a New Framework, Topology and its Applications, Available online 30 January 2025, 109236.
Andrikopoulos A., Extension of Zorn’s Lemma to arbitrary binary relations, (2024), arXiv:2210.00197.
Andrikopoulos A., Gounaridis J., The solution to the non-symmetric completion problem of quasi-uniform spaces, (2023), Serdica Mathematical Journal, vol. 8, pp. 1-40.
Andrikopoulos A., A topological characterization of generalized stable sets (2022), Social Choice Welfare, https://doi.org/10.1007/s00355-022-01434-2.
Andrikopoulos A., On Hybrid Order Dimensions, Journal of Computer Science and Information Technology, June 2022, Vol. 10, No. 1, pp. 9-23.
Andrikopoulos A., Katsiberis V., (2021), Creating a flexible business credit rating model using multicriteria decision analysis, Journal of Multi-Criteria Decision Analysis 28, (1-2), 45-67.
Andrikopoulos A., Katsiberis V., (2020), A multicriteria decision analysis model for finding the optimal new bank branch location, IOSR Journal of Computer Engineering (IOSR-JCE) 22 (3), 01-13.
Andrikopoulos A., Zontou K., (2019), A topological characterization of the non-emptiness of the Banks set and the uncovered set, Topology and its applications, https://doi.org/10.1016/j.topol.2019.107026.
Andrikopoulos A., (2019), A Generalization of Arrow’s Lemma on Extending a Binary Relation, International Journal of Mathematics and Mathematical Sciences, 1-6, https://doi.org/10.1155/2019/5397036.
Andrikopoulos A., (2018), On the extension of binary relations in economic and game theories, Decisions in Economics and Finance, 42, 277–285.
Andrikopoulos A., (2018), A Representation of the maximal set in choice problems where information is incomplete, Theoretical Economics Letters, vol. 8, 2631-2639.
Andrikopoulos A., (2017), A new proof of the Nagata-Smirnov metrization theorem, International Journal of Pure and Applied Mathematics, vol. 113, issue 1, 486-494.
Andrikopoulos A., (2017), Generalizations of Szpilrajn’s Theorem in economic and game theories, arXiv: 1708.04711v1 [q-fin.EC].
Andrikopoulos A., (2016), A short proof of the Deb’s Theorem on Schwartz’s Rule, Decisions in Economics and Finance, vol. 39, issue 2, pages 333-336.
Andrikopoulos A., (2015), A characterization of the Generalized Optimal Choice set through the optimization of generalized weak utilities, Theory and Decision, 31, 1-11.
Andrikopoulos A., (2015), The Stone Theorem on pairwise paracompactness of quasimetrizable spaces, Journal of Computer Engineering and Informatics, Vol. 2, Iss. 3, 37-40.
Andrikopoulos A., (2014), A characterization of the existence of generalized stable sets, Journal of Advances in Mathematics, Vol. 5, No. 3, pp. 756-760.
Andrikopoulos A., (2013,A Solution to the Completion Problem for Quasi-Pseudo- metric Spaces, International Journal of Mathematics and Mathematical Science, Article ID 278381.
Andrikopoulos A.,(2013), Compactness in the choice and game theories: a characterisation of rationality, Econ. Theory Bull., 1:105-110, DOI 10.1007/ s40505-013-0002-8.
Andrikopoulos A.,(2012), On the construction of non-empty choice sets, Social choice and Welfare, Vol. 38, Issue 2, pp. 305-324.
Andrikopoulos A., Zacharias E., (2012), A topological characterization of non-empty choice sets, Topology and its Applications, Volume 159, Issue 7, Pages 1987–1992.
Andrikopoulos A., (2011), Characterization of the existence of weak utilities for binary relations, Theory and Decision, Volume 70, Issue 1, pp. 13-26.
Andrikopoulos A., Stabakis J., (2010), A solution to the completion problem of quasi-uniform spaces,arXiv preprint arXiv:1008.1402,2010.
Andrikopoulos A., (2009), A construction of an idempotent half-completion for quasi-uniform spaces, Studia Scientiarum Mathematicarum Hungarica, doi10.1556/SScMath.2009, 11-25.
Andrikopoulos A., (2009), *-half completeness in quasi-uniform spaces, Applied General Topology, Volume 10, No. 1, pp. 29-37.
Andrikopoulos A., (2007), The Quasimetrization Problem in the (Bi)topological Spaces, International Journal of Mathematics and Mathematical Sciences, Article ID 76904, doi:10.1155/2007/76904.
Andrikopoulos A., Filippopoulou E.,(2007) On Generalized Interval Orders, International Mathematical Forum, 2, no. 26, 1295– 1303.
Andrikopoulos A., (2007), A representation of consistent binary relations, Span. Econ. Rev., 9: 299-307, doi: 10.1007s10108-007-9024-4.
Andrikopoulos A., (2007), Symmetry conditions on the coincidence of some notion of quasi-uniform completeness, International Journal of Mathematics and Mathematical Science, Article ID 87592, doi: 10.1155/2007/87592.
Andrikopoulos A., Vafeas P., (2006), Maximal elements for binary relations on compact spaces, IJPAM, No. 19, 85-90.
Andrikopoulos A., (2004), A larger class than the Deak one for the coincidence of some notions of quasi-uniform completeness using pairs of filters, Studia Sci. Math.Hung., (15), 67-74.
Andrikopoulos A., (2004), Completeness in quasi-uniform spaces, Acta Math. Hung., (105), 549-565.
Andrikopoulos A., Stabakis J., (2001), Some coverings properties for LQU’s with nested bases, International J. Math. Sci., 549-558.
Andrikopoulos A., Stabakis J., (1999), The coregular property in γ-spaces, Czech. Math. J., 49, (124), 431-442.
Andrikopoulos A.,Stabakis J.,(1996), On Nachbin’s problem concerning uniformizable ordered spaces, Acta Math.et Inform.Univ.Ostrav.5, 65-70.
Andrikopoulos A., (2009), Characterization of the Generalized Top-Choice Assumption (Smith) set," MPRA Paper 14897, University Library of Munich, Germany.
Andrikopoulos A.,(2009), General Extension Theorems for Binary Relations http://scholar. google. com/scholar.
Andrikopoulos A., Zacharias E.,(2009), Characterization of the existence of R-maximal elements of consistent binary relations, Department of Economics, University of Ioannina.
Andrikopoulos A., Zacharias E.,(2008), General solutions for choice sets: The Generalized Optimal-Choice Axiom set, MPRA_paper_11645.pdf.
Conferences Announcements
Andrikopoulos A., Sampanis N., (2023), A topological characterization of the existence of some notions of generalized stable sets, International conference on Topology and its applications, July 3-7.
Andrikopoulos A., Gounaridis I., (2023), A generalization of Doitchinov’s quasi-uniform completion, International conference on Topology and its applications, July 3-7.
Andrikopoulos A., Gounaridis I., (2018), A non-symmetric completion for quasi- uniform spaces, International conference on Topology and its applications, July 7-11.
Andrikopoulos A., Zontou K., (2018), A topological characterization of the uncovered set, International conference on Topology and its applications, July 7- 11.
Andrikopoulos A., (2014), Topological Ordered Spaces in Economic and Game Theories, International conference on Topology and its applications, June 23-26.
Andrikopoulos A., (2010), Compactness throught the Schwartz set, International conference on Topology and its applications, June 26-30.
Andrikopoulos A., (2007), General extension theorems for binary relations, 8th SAET conference on current trends in economics, June 18-24.
Andrikopoulos A., Stabakis J., (2006), Τhe completion problem in quasi uniform spaces, International conference on Topology and its applications, June 23- 26.
Andrikopoulos A., (Aug. 22-27, 1993), A note on the locally quasi-uniform spaces, Collocuium on topology - Budapest.
Andrikopoulos A., ( 20-8-1991), Pairwise Paracompactness in bitopological spaces,Seventh Prague Topological Symposium, Praha-Chech.