\(\alpha-\psi-\varphi\)-contractive mappings in ordered partial b-metric spaces


Authors

Aiman Mukheimer - Department of Mathematics and General Sciences, Prince Sultan University, P.O.Box 66833, Riyadh 11586, Saudi Arabia.


Abstract

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.


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ISRP Style

Aiman Mukheimer, \(\alpha-\psi-\varphi\)-contractive mappings in ordered partial b-metric spaces, Journal of Nonlinear Sciences and Applications, 7 (2014), no. 3, 168--179

AMA Style

Mukheimer Aiman, \(\alpha-\psi-\varphi\)-contractive mappings in ordered partial b-metric spaces. J. Nonlinear Sci. Appl. (2014); 7(3):168--179

Chicago/Turabian Style

Mukheimer, Aiman. "\(\alpha-\psi-\varphi\)-contractive mappings in ordered partial b-metric spaces." Journal of Nonlinear Sciences and Applications, 7, no. 3 (2014): 168--179


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