Academic Journal
On the generalizations of Siegel's fixed point theorem
| Title: | On the generalizations of Siegel's fixed point theorem |
|---|---|
| Authors: | Jung, J.S., Chang, S.S., Lee, B.S., Cho, Y.J, Kang, S.M. |
| Source: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) Mathware & soft computing; 2001: Vol.: 8 Núm.: 1 |
| Publisher Information: | Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2001. |
| Publication Year: | 2001 |
| Subject Terms: | Downing-Kirk's fixed point theorem, applications, Fuzzy topology, 54 General topology::54H Connections with other structures, applications [Classificació AMS], Generating spaces of quasi-metric family, Topologia, Fixed points, Fixed-point theorems, Caristi's theorem, fuzzy metric spaces, probabilistic metric spaces, Classificació AMS::54 General topology::54H Connections with other structures, applications, Probabilistic metric spaces, complete generating space of quasi-metric family, Classificació AMS::54 General topology::54H Connections with other structures, Spiegel's fixed point theorem, Fuzzy metric spaces |
| Description: | In this paper, we establish a new version of Siegel's fixed point theorem in generating spaces of quasi-metric family. As consequences, we obtain general versions of the Downing-Kirk's fixed point and Caristi's fixed point theorem in the same spaces. Some applications of these results to fuzzy metric spaces and probabilistic metric spaces are presented. |
| Document Type: | Article |
| File Description: | application/pdf; application/xml; text/html |
| Language: | English |
| Access URL: | http://hdl.handle.net/2099/3590 https://hdl.handle.net/2099/3590 https://zbmath.org/1640229 http://www.raco.cat/index.php/Mathware/article/view/84846 |
| Rights: | CC BY NC ND |
| Accession Number: | edsair.dedup.wf.002..d3133a9926f0c6f0de98c902f35dbc3d |
| Database: | OpenAIRE |
| Description not available. |