FIXED POINT FOR MAPPINGS SATISFYING KANNAN TYPE INEQUALITY IN FUZZY METRIC SPACES INVOLVING T-NORMS WITH EQUI-CONTINUOUS ITERATES

P. N.  DUTTA; BINAYAK S.  CHOUDHURY; PRADYUT  DAS

FIXED POINT FOR MAPPINGS SATISFYING KANNAN TYPE INEQUALITY IN FUZZY METRIC SPACES INVOLVING T-NORMS WITH EQUI-CONTINUOUS ITERATES

Authors

P. N. DUTTA Department of Basic Science and Humanities, RCC Institute of Information Technology, Kolkata-700015, West Bengal, INDIA
BINAYAK S. CHOUDHURY Department of Basic Science and Humanities, RCC Institute of Information Technology, Kolkata-700015, West Bengal, INDIA
PRADYUT DAS Department of Basic Science and Humanities, normalsize RCC Institute of Information Technology, normalsize Kolkata-700015, West Bengal, INDIA

Keywords:

Fuzzy metric space, Hadzic type t-norm, $/psi$-function, Cauchy sequence, Weak compatible mappings, Coupled fixed point, Coupled coincidence point

Abstract

In this paper, we define coupled weak compatible condition and use it to derive certain coupled coincidence point theorems for four mappings in fuzzy metric spaces. We use here a t-norm which has equicontinuous iterates at 1. Some coupled fixed point results in metric spaces are obtained by applications of the results. Our results are obtained without any assumption of continuity on the mappings. Our main result is supported by an illustrative example. Some corollaries are also obtained.