TY - JOUR
ID - 31436
TI - Meir-Keeler Type Contraction Mappings in $c_0$-triangular Fuzzy Metric Spaces
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Hezarjaribi, Masoomeh
AD - Department of Mathematics, Payame Noor University, p.o.box.19395-3697, Tehran, Iran.
Y1 - 2018
PY - 2018
VL - 11
IS - 1
SP - 25
EP - 41
KW - $c_0$-triangular fuzzy metric space
KW - $\alpha\Delta$-Meir-Keeler contractive
KW - Fixed point
DO - 10.22130/scma.2018.60715.215
N2 - Proving fixed point theorem in a fuzzy metric space is not possible for Meir-Keeler contractive mapping. For this, we introduce the notion of $c_0$-triangular fuzzy metric space. This new space allows us to prove some fixed point theorems for Meir-Keeler contractive mapping. As some pattern we introduce the class of $\alpha\Delta$-Meir-Keeler contractive and we establish some results of fixed point for such a mapping in the setting of $c_0$-triangular fuzzy metric space. An example is furnished to demonstrate the validity of these obtained results.
UR - https://scma.maragheh.ac.ir/article_31436.html
L1 - https://scma.maragheh.ac.ir/article_31436_7931223a921acacbf9af5f50b37f2216.pdf
ER -