Research & Science Group Ltd.Communications in Nonlinear Analysis2371-792010120220701Coincidence Points with φ-Contractions in Partially Ordered Fuzzy Metric Spaces113111011ENBinayak SChoudhuryDepartment of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, B. Garden, Shibpur, Howrah -
711103, West Bengal, IndiaPradyutDasDepartment of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, B. Garden, Shibpur, Howrah -
711103, West Bengal, IndiaParbatiSahaDepartment of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, B. Garden, Shibpur, Howrah -
711103, West Bengal, IndiaSamir KumarBhandariDepartment of Mathematics, Bajkul Milani Mahavidyalaya, P.O-Kismat Bajkul, Purba Medinipur, Pin- 721655,
West-Bengal, IndiaJournal Article20200421In this paper our main result is a coupled coincidence point theorem for a compatible pair<br />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<br />many such functions previously used in literatures. The proof depends on a lemma in which we<br />prove a condition for simultaneous holding of Cauchy criteria for two sequences. We use H-type<br />t-norms in this paper in order to utilize the equi-continuity of the t-norm iterates in the proof<br />of the lemma. The contraction inequality also involves another function which is borrowed from<br />a recent work, there is a partial ordering defined on the fuzzy metric space. There are several<br />corollaries of the main theorem. An illustrative example is given.https://www.cna-journal.com/article_111011_cbefbf3abaa81f1d49261649f5516925.pdf