%0 Journal Article
%T COINCIDENCE POINTS WITH φ-CONTRACTIONS IN PARTIALLY ORDERED FUZZY METRIC SPACES
%J Communications in Nonlinear Analysis
%I RGNAA Publishing
%Z 2371-7920
%A Das, Pradyut
%A Choudhury, Binayak S
%A Saha, Parbati
%A Bhandari, Samir Kumar
%D 2020
%\ 06/01/2020
%V 8
%N 1
%P 1-14
%! COINCIDENCE POINTS WITH φ-CONTRACTIONS IN PARTIALLY ORDERED FUZZY METRIC SPACES
%K Partial ordered set
%K Hadziˇ c´ type t-norm
%K φ- function
%K Cauchy sequence
%K compatibility
%K coupled coincidence point
%R
%X 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.
%U