On common fixed points that belong to the zero set of a certain function

Volume 10, Issue 7, pp 3447--3455 http://dx.doi.org/10.22436/jnsa.010.07.09

Publication Date: July 21, 2017 Submission Date: April 02, 2017

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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.

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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

54H25
47H10

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