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