Paper Info
Title
Bounded lattice fuzzy coincidence theorems with applications.
Abstract
The main focus of the present paper is to establish a common coincidence point theorem for a pair of L-fuzzy mappings and a non-fuzzy mapping under a generalized phi-contractive condition on a metric space in association with the Hausdorff distance on a class of L fuzzy sets. A generalized common coincidence point theorem with the d(L)(infinity) metric on 1 cuts of L fuzzy sets is also obtained, which generalizes many recent results in literature. As applications, an analogous coincidence point theorem for crisp mappings is achieved to study some existence theorems of solution for a class of nonlinear integral equations. Even as direct application of coincidence of L fuzzy mappings, an implicit function theorem is established which can be used to find an explicit restriction of a given implicit relation. For verification and elaboration of our results some interesting and non-trivial examples are presented as well.
Year
DOI
Venue
2019
10.3233/JIFS-181754
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Keywords
Field
DocType
Coincidence point,implicit function theorem,L-fuzzy mapping,integral equation
Discrete mathematics,Bounded lattice,Fuzzy logic,Coincidence,Mathematics
Journal
Volume
Issue
ISSN
36
2
1064-1246
Citations 
PageRank 
References 
0
0.34
13
Authors
2
Name
Order
Citations
PageRank
Shazia Kanwal100.68
Akbar Azam2267.91