Open AccessUnified fixed point theorems for mappings in fuzzy metric spaces via implicit relations
Author(s) -
Sunny Chauhan,
Mohammad Imdad,
Wutiphol Sintunavarat,
Yonghong Shen
Publication year - 2015
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2014.05.008
Subject(s) - mathematics , metric space , fixed point theorem , coincidence point , limit (mathematics) , fixed point , property (philosophy) , range (aeronautics) , pure mathematics , discrete mathematics , metric (unit) , point (geometry) , fuzzy logic , mathematical analysis , computer science , philosophy , operations management , materials science , geometry , epistemology , artificial intelligence , economics , composite material
In this paper, we prove some fixed point theorems for weakly compatible mappings in fuzzy metric spaces employing common limit range property with implicit relations. We also furnish some illustrative examples to support our main results. As an application to our main result, we derive a fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any finite number of mappings. Our results improve and extend a host of previously known results including the ones contained in the paper of Gopal et al. (2011)