Geodesic
On common fixed points that belong to the zero set of a certain function
Karapinar, Erdal1 ; Samet, Bessem2 ; Shahi, Priya3
1 Department of Mathematics, Atilim University, Incek, Ankara, 06836, Turkey
2 Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia
3 St. Andrews College of Arts, Science and Commerce, St. Dominic Road, Bandra (West), Mumbai 400 050, India
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 7, p. 3447-3455.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.010.07.09
Classification : 54H25, 47H10
Keywords: \(\varphi\) -admissibility, common fixed point, zero set, partial metric.

Karapinar, Erdal 1 ; Samet, Bessem 2 ; Shahi, Priya 3

1 Department of Mathematics, Atilim University, Incek, Ankara, 06836, Turkey
2 Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia
3 St. Andrews College of Arts, Science and Commerce, St. Dominic Road, Bandra (West), Mumbai 400 050, India 
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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 its applications, Tome 10 (2017) no. 7, p. 3447-3455. doi : 10.22436/jnsa.010.07.09. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.07.09/

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