Journal of applied mathematics & informatics
- Volume 20 Issue 1_2
- /
- Pages.401-408
- /
- 2006
- /
- 2734-1194(pISSN)
- /
- 2234-8417(eISSN)
SOME RESULTS ON FIXED POINTS IN THE FUZZY METRIC SPACE
- RAZANI ABDOLRAHMAN (Department of Mathematics, Faculty of Science, Imam Khomeini International University) ;
- SHIRDARYAZDI MARYAM (Department of Mathematics, Faculty of Science, Imam Khomeini International University)
- Published : 2006.01.01
Abstract
Fixed point theory is one of famous theories from theoretical and numerical point of views. Banach fixed point theorem plays a main role in this theory. In this article, Grabiec's fuzzy Banach contraction theorem [3] and Vasuki's theorem [12] for a complete fuzzy metric space, in the sense of Song [11] (or George and Veeramani), is proved by an extra condition.