TY - JOUR
ID - 111011
TI - Coincidence Points with φ-Contractions in Partially Ordered Fuzzy Metric Spaces
JO - Communications in Nonlinear Analysis
JA - CNA
LA - en
SN -
AU - Choudhury, Binayak S
AU - Das, Pradyut
AU - Saha, Parbati
AU - Bhandari, Samir Kumar
AD - Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, B. Garden, Shibpur, Howrah -
711103, West Bengal, India
AD - Department of Mathematics, Bajkul Milani Mahavidyalaya, P.O-Kismat Bajkul, Purba Medinipur, Pin- 721655,
West-Bengal, India
Y1 - 2022
PY - 2022
VL - 10
IS - 1
SP - 1
EP - 13
KW - Partial ordered set
KW - Hadzic type t-norm
KW - φ-function
KW - Cauchy sequence
KW - compatibility
KW - coupled coincidence point
DO -
N2 - In this paper our main result is a coupled coincidence point theorem for a compatible pairin a fuzzy metric space with a partial ordering under the assumption of a new coupled contraction inequality which involves a recently introduced control function which is a generalization ofmany such functions previously used in literatures. The proof depends on a lemma in which weprove a condition for simultaneous holding of Cauchy criteria for two sequences. We use H-typet-norms in this paper in order to utilize the equi-continuity of the t-norm iterates in the proofof the lemma. The contraction inequality also involves another function which is borrowed froma recent work, there is a partial ordering defined on the fuzzy metric space. There are severalcorollaries of the main theorem. An illustrative example is given.
UR - https://www.cna-journal.com/article_111011.html
L1 - https://www.cna-journal.com/article_111011_cbefbf3abaa81f1d49261649f5516925.pdf
ER -