Unified implicit common fixed point theorems under non-negative complex valued functions satisfying the identity of indiscernible
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Author list: Singh D., Joshi V., Imdad M., Kumam P.
Publication year: 2016
Journal: Journal of Nonlinear Science and Applications (2008-1898)
Volume number: 9
Issue number: 5
Start page: 2049
End page: 2069
Number of pages: 21
ISSN: 2008-1898
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we consider a non-negative complex valued function satisfying the identity of indiscernible and utilize the same to prove some common fixed point theorems for two pairs of non-vacuously weakly compatible mappings satisfying an implicit relation having rational terms as its co-ordinates. Some illustrative examples are also given which demonstrate the validity of the hypotheses of our results. In process, a host of previously known results in the context of complex as well as real valued metric spaces are generalized and improved. ฉ 2016 All rights reserved.
Keywords
Implicit relations, Non-vacuously weakly compatible mappings, Point of coincidence
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