Common tripled fixed point theorems for W-compatible mappings along with the CLRg property in abstract metric spaces
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Publication Details
Author list: Wairojjana N., Sintunavarat W., Kumam P.
Publisher: SpringerOpen
Publication year: 2014
Journal: Journal of Inequalities and Applications (1025-5834)
Volume number: 2014
Issue number: 1
ISSN: 1025-5834
eISSN: 1029-242X
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we introduce the concept of common limit in the range property for mappings F : X X X X and g : X X, where (X, d) is an abstract metric space, and establish tripled coincidence point and common tripled fixed point theorems by using the common limit in the range property. Our theorems generalize and extend several well-known comparable results in the literature, in particular the results of Aydi et al. (Fixed Point Theory Appl. 2012:134, 2012). Also, we give examples to validate our main results which are not applied by the results in the literature. ฉ 2014 Wairojjana et al.; licensee Springer.
Keywords
Common tripled fixed points, K-metric spaces, Tripled coincidence points
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