Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 782680, 11 pages
doi:10.1155/2010/782680
Research Article

Ordered Non-Archimedean Fuzzy Metric Spaces and Some Fixed Point Results

Ishak Altun1 and Dorel Miheţ2

1Department of Mathematics, Faculty of Science and Arts, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey
2Departament of Mathematics, Faculty of Mathematics and Computer Science, West University of Timişoara, Bv. V. Parvan 4, 300223 Timişoara, Romania

Received 2 July 2009; Accepted 9 February 2010

Academic Editor: Mohamed A. Khamsi

Copyright © 2010 Ishak Altun and Dorel Miheţ. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In the present paper we provide two different kinds of fixed point theorems on ordered nonArchimedean fuzzy metric spaces. First, two fixed point theorems are proved for fuzzy order ψ-contractive type mappings. Then a common fixed point theorem is given for noncontractive type mappings. Kirk's problem on an extension of Caristi's theorem is also discussed.