dc.creator | Fernández León, Aurora | es |
dc.creator | Espínola García, Rafael | es |
dc.date.accessioned | 2016-07-04T10:33:35Z | |
dc.date.available | 2016-07-04T10:33:35Z | |
dc.date.issued | 2009 | |
dc.identifier.citation | Fernández León, A. y Espínola García, R. (2009). CAT(k)-spaces, weak convergence and fixed points. Journal of Mathematical Analysis and Applications, 363 (1), 410-427. | |
dc.identifier.issn | 0022-247X | es |
dc.identifier.issn | ISSN-e 1096-0813 | es |
dc.identifier.uri | http://hdl.handle.net/11441/43081 | |
dc.description.abstract | In this paper we show that some of the recent results on ¯xed point for CAT(0) spaces
still hold true for CAT(1) spaces, and so for any CAT(k) space, under natural boundedness
conditions. We also introduce a new notion of convergence in geodesic spaces which is related
to the ¢-convergence and applied to study some aspects on the geometry of CAT(0) spaces.
At this point, two recently posed questions in [12] (W.A. Kirk and B. Panyanak, A concept of
convergence in geodesic spaces, Nonlinear Anal. 68 (12) (2008), 3689-3696) are answered in
the negative. The work ¯nishes with the study of the Lif¸sic characteristic and property (P)
of Lim-Xu to derive ¯xed point results for uniformly lipschitzian mappings in CAT(k) spaces.
A conjecture raised in [4] (S. Dhompongsa, W.A. Kirk and B. Sims, Fixed points of uniformly
lipschitzian mappings, Nonlinear Anal., 65 (2006), 762{772) on the Lif¸sic characteristic function
of CAT(k) spaces is solved in the positive. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Academic Press | es |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications, 363 (1), 410-427. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | CAT(k) spaces | es |
dc.subject | Normal structure | es |
dc.subject | Convergence | es |
dc.subject | Kedec-Klee property | es |
dc.subject | Fixed points | es |
dc.subject | Uniformly lipschitzian mappings | es |
dc.title | CAT(k)-spaces, weak convergence and fixed points | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Didáctica de las Matemáticas | es |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.jmaa.2008.12.015 | |
dc.identifier.doi | 10.1016/j.jmaa.2008.12.015 | |
dc.journaltitle | Journal of Mathematical Analysis and Applications | es |
dc.publication.volumen | 363 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 410 | es |
dc.publication.endPage | 427 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/43081 | |