Geodesic
$\alpha-\psi-\varphi$-contractive mappings in ordered partial b-metric spaces
Mukheimer, Aiman1
1 Department of Mathematics and General Sciences, Prince Sultan University, P.O.Box 66833, Riyadh 11586, Saudi Arabia
Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 3, p. 168-179.

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

In this paper, we introduce the concept of $\alpha-\psi-\varphi$-contractive self mapping in complete ordered partial b- metric space, and we study the existence of fixed points for such mappings under some conditions. Presented theorems in this paper extend and generalize the results derived by Mustafa et al., also some examples are given to illustrate the main results.
DOI : 10.22436/jnsa.007.03.03
Classification : 47H10, 54H25
Keywords: b-metric space, fixed point theory, contraction, partial metric space.

Mukheimer, Aiman 1

1 Department of Mathematics and General Sciences, Prince Sultan University, P.O.Box 66833, Riyadh 11586, Saudi Arabia 
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Mukheimer, Aiman. \(\alpha-\psi-\varphi\)-contractive mappings in ordered partial b-metric spaces. Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 3, p. 168-179. doi : 10.22436/jnsa.007.03.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.007.03.03/

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