Open AccessCoupled fixed point theorems for weakly compatible mappings along with $CLR$ property in Menger metric spaces
Author(s) -
Leila Ben Aoua,
Abdelkrim Aliouche
Publication year - 2016
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.8.2.195-210
Subject(s) - mathematics , property (philosophy) , metric space , fixed point theorem , metric (unit) , fixed point , pure mathematics , point (geometry) , space (punctuation) , discrete mathematics , mathematical analysis , computer science , geometry , epistemology , philosophy , operations management , economics , operating system
Coupled fixed point problems have attracted much attention in recent times. The aim of this paper is to extend the notions of E.A. property, CLR property and JCLR property for coupled mappings in Menger metric space and use this notions to generalizes the recent results of Jian-Zhong Xiao. The main result is supported by a suitable example.