On common fixed points that belong to the zero set of a certain function
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Authors
Erdal Karapinar
- Department of Mathematics, Atilim University, Incek, Ankara, 06836, Turkey.
Bessem Samet
- Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia.
Priya Shahi
- St. Andrews College of Arts, Science and Commerce, St. Dominic Road, Bandra (West), Mumbai 400 050, India.
Abstract
We provide sufficient conditions under which the set of common fixed points of two self-mappings \(f, g : X \rightarrow X\) is nonempty,
and every common fixed point of f and g is the zero of a given function \(\varphi:X \rightarrow [0,\infty)\). Next, we show the usefulness of our
obtained result in partial metric fixed point theory.
Share and Cite
ISRP Style
Erdal Karapinar, Bessem Samet, Priya Shahi, On common fixed points that belong to the zero set of a certain function, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 7, 3447--3455
AMA Style
Karapinar Erdal, Samet Bessem, Shahi Priya, On common fixed points that belong to the zero set of a certain function. J. Nonlinear Sci. Appl. (2017); 10(7):3447--3455
Chicago/Turabian Style
Karapinar, Erdal, Samet, Bessem, Shahi, Priya. "On common fixed points that belong to the zero set of a certain function." Journal of Nonlinear Sciences and Applications, 10, no. 7 (2017): 3447--3455
Keywords
- \(\varphi\) -admissibility
- common fixed point
- zero set
- partial metric.
MSC
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