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 - Das, Pradyut
AU - Choudhury, Binayak S
AU - Saha, Parbati
AU - Bhandari, Samir Kumar
AD - Indian Institute Of Engineering Science and Technology, Shibpur
AD - Indian Institute of Engineering Science and Technology, Shibpur
AD - Bajkul Milani Mahavidyalaya
Y1 - 2020
PY - 2020
VL - 8
IS - 1
SP - 1
EP - 14
KW - Partial ordered set
KW - Hadziˇ c´ 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 - http://www.cna-journal.com/article_111011.html
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ER -