@article {
author = {Das, Pradyut and Choudhury, Binayak S and Saha, Parbati and Bhandari, Samir},
title = {COINCIDENCE POINTS WITH φ-CONTRACTIONS IN PARTIALLY ORDERED FUZZY METRIC SPACES},
journal = {Communications in Nonlinear Analysis},
volume = {8},
number = {1},
pages = {1-14},
year = {2020},
publisher = {RGNAA Publishing},
issn = {2371-7920},
eissn = {2371-7920},
doi = {},
abstract = {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.},
keywords = {Partial ordered set,Hadziˇ c´ type t-norm,φ- function,Cauchy sequence,compatibility,coupled coincidence point},
url = {http://www.cna-journal.com/article_111011.html},
eprint = {}
}