@article { author = {Choudhury, Binayak S and Das, Pradyut and Saha, Parbati and Bhandari, Samir}, title = {Coincidence Points with φ-Contractions in Partially Ordered Fuzzy Metric Spaces}, journal = {Communications in Nonlinear Analysis}, volume = {10}, number = {1}, pages = {1-13}, year = {2022}, publisher = {Research & Science Group Ltd.}, 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,Hadzic type t-norm,φ-function,Cauchy sequence,compatibility,coupled coincidence point}, url = {https://www.cna-journal.com/article_111011.html}, eprint = {https://www.cna-journal.com/article_111011_cbefbf3abaa81f1d49261649f5516925.pdf} }