Coupled coincidence and coupled common fixed point theorems on a fuzzy metric space with a graph
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Author list: Sumalai P., Kumam P., Gopal D.
Publisher: SINUS Association
Publication year: 2018
Volume number: 34
Issue number: 3
Start page: 417
End page: 424
Number of pages: 8
ISSN: 1584-2851
eISSN: 1584-2851
Languages: English-Great Britain (EN-GB)
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Abstract
Inspired by the work of Dakjum et al. [Eshi, D., Das, P. K. and Debnath, P., Coupled coincidence and coupled common fixed point theorems on a metric space with a graph, Fixed Point Theory Appl., 37 (2016), 1–14], we introduce a new class of G−f−contraction mappings in complete fuzzy metric spaces endowed with a directed graph and prove some existence results for coupled coincidence and coupled common fixed point theorems of this type of contraction mappings in complete fuzzy metric spaces endowed with a directed graph. © 2018, SINUS Association. All rights reserved.
Keywords
G-f-contraction mappings
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