On common periodic points conjecture, history and some related questions
| dc.contributor.author | Alikhani-Koopaei, Aliasghar | |
| dc.date.accessioned | 2024-07-12T20:51:25Z | |
| dc.date.available | 2024-07-12T20:51:25Z | |
| dc.date.issued | 2009 | en_US |
| dc.department | Fakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | From 1954 to 1969 there was a rather well known conjecture, namely the common fixed point conjecture, that if f and g are continuous functions from the closed unit interval to itself which commute, meaning f(g(x)) = g(f(x)), then they have a common fixed point. In [2] and [3], W.M. Boyce and J.P. Huneke answered this question independently by the construction of a pair of commuting continuous functions which have no fixed point in common. This conjecture led us to introduce the common periodic point conjecture (see [1]) which reads as: Conjecture. If f and g are continuous functions from [0, 1] to itself which commute (i.e. f(g(x)) = g(f(x))), then they must have a common periodic point. In fact we conjectured that typically commuting continuous self-maps of closed intervals do not share a periodic point. In this talk we give the history of this conjecture as well as some related results and some open questions. | en_US |
| dc.identifier.citation | Alikhani-Koopaei, A. (2009). On common periodic points conjecture, history and some related questions. Maltepe Üniversitesi. s. 88. | en_US |
| dc.identifier.endpage | 89 | en_US |
| dc.identifier.isbn | 9.78605E+12 | |
| dc.identifier.startpage | 88 | en_US |
| dc.identifier.uri | https://www.maltepe.edu.tr/Content/Media/CkEditor/03012019014112056-AbstractBookICMS2009Istanbul.pdf#page=76 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12415/2413 | |
| dc.institutionauthor | Alikhani-Koopaei, Aliasghar | |
| dc.language.iso | en | en_US |
| dc.publisher | Maltepe Üniversitesi | en_US |
| dc.relation.ispartof | International Conference of Mathematical Sciences | en_US |
| dc.relation.publicationcategory | Uluslararası Konferans Öğesi - Başka Kurum Yazarı | en_US |
| dc.rights | CC0 1.0 Universal | * |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
| dc.snmz | KY07778 | |
| dc.title | On common periodic points conjecture, history and some related questions | en_US |
| dc.type | Conference Object | |
| dspace.entity.type | Publication |
