On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed points
| Data(s) |
25/01/2016
25/01/2016
02/07/2015
|
|---|---|
| Resumo |
This paper investigates some properties of cyclic fuzzy maps in metric spaces. The convergence of distances as well as that of sequences being generated as iterates defined by a class of contractive cyclic fuzzy mapping to fuzzy best proximity points of (non-necessarily intersecting adjacent subsets) of the cyclic disposal is studied. An extension is given for the case when the images of the points of a class of contractive cyclic fuzzy mappings restricted to a particular subset of the cyclic disposal are allowed to lie either in the same subset or in its next adjacent one. |
| Identificador |
Fixed Point Theory and Applications 2015 : (2015) // Article ID 103 1687-1812 http://hdl.handle.net/10810/16825 10.1186/s13663-015-0350-1 |
| Idioma(s) |
eng |
| Publicador |
Springer International Publishing |
| Relação |
http://www.fixedpointtheoryandapplications.com/content/2015/1/103 |
| Direitos |
© 2015 De la Sen et al. Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. info:eu-repo/semantics/openAccess |
| Palavras-Chave | #fixed and best proximity points #fuzzy cyclic contractive maps #cyclic fuzzy contraction and fuzzy sets #mapping #theorems #sets |
| Tipo |
info:eu-repo/semantics/article |
