Fixed point theorems for two hybrid pairs of non-self mappings under joint common limit range property in metric spaces
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Author list: Imdad M., Chauhan S., Kumam P.
Publisher: Yokohama Oublishers
Publication year: 2015
Journal: Journal of Nonlinear and Convex Analysis (1345-4773)
Volume number: 16
Issue number: 2
Start page: 243
End page: 254
Number of pages: 12
ISSN: 1345-4773
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we introduce the notion of joint common limit range property for two hybrid pairs ofnon-self mappings and utilize the same to obtain some coincidence and common fixed point theorems defined on an arbitrary set with values in metric spaces. Some illUBtrative examples are also given to high-light the realized improvements. Our results improve, generalize and extend some results of the existing literature especially the ones due to Liu et al. [Common fixed points of single-valued and multivalued maps, Internat. J. Math. Math. Sci. 19 (2005), 3045-3055]. ฉ 2015.
Keywords
Common limit range property, Quasi-coincidentally commuting mappings
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