1
Indian Institute Of Engineering Science and Technology, Shibpur
2
Indian Institute of Engineering Science and Technology, Shibpur
3
Bajkul Milani Mahavidyalaya
Abstract
In this paper our main result is a coupled coincidence point theorem for a compatible pair in 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 of many such functions previously used in literatures. The proof depends on a lemma in which we prove a condition for simultaneous holding of Cauchy criteria for two sequences. We use H-type t-norms in this paper in order to utilize the equi-continuity of the t-norm iterates in the proof of the lemma. The contraction inequality also involves another function which is borrowed from a recent work, there is a partial ordering defined on the fuzzy metric space. There are several corollaries of the main theorem. An illustrative example is given.
Das, P., Choudhury, B. S., Saha, P., & Bhandari, S. (2020). COINCIDENCE POINTS WITH φ-CONTRACTIONS IN PARTIALLY ORDERED FUZZY METRIC SPACES. Communications in Nonlinear Analysis, 8(1), 1-14.
MLA
Pradyut Das; Binayak S Choudhury; Parbati Saha; Samir Kumar Bhandari. "COINCIDENCE POINTS WITH φ-CONTRACTIONS IN PARTIALLY ORDERED FUZZY METRIC SPACES". Communications in Nonlinear Analysis, 8, 1, 2020, 1-14.
HARVARD
Das, P., Choudhury, B. S., Saha, P., Bhandari, S. (2020). 'COINCIDENCE POINTS WITH φ-CONTRACTIONS IN PARTIALLY ORDERED FUZZY METRIC SPACES', Communications in Nonlinear Analysis, 8(1), pp. 1-14.
VANCOUVER
Das, P., Choudhury, B. S., Saha, P., Bhandari, S. COINCIDENCE POINTS WITH φ-CONTRACTIONS IN PARTIALLY ORDERED FUZZY METRIC SPACES. Communications in Nonlinear Analysis, 2020; 8(1): 1-14.
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