Various Suzuki type theorems in $b$-metric spaces

Volume 8, Issue 4, pp 363--377
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Authors

A. Latif - Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia. V. Parvaneh - Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran. P. Salimi - Young Researchers and Elite Club, Rasht Branch, Islamic Azad University, Rasht, Iran. A. E. Al-Mazrooei - Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.

Abstract

In this paper, we prove some fixed point results for $\alpha$-admissible mappings which satisfy Suzuki type contractive condition in the setup of b-metric spaces. Finally, examples are presented to verify the effectiveness and applicability of our main results.

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ISRP Style

A. Latif, V. Parvaneh, P. Salimi, A. E. Al-Mazrooei, Various Suzuki type theorems in $b$-metric spaces, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 4, 363--377

AMA Style

Latif A., Parvaneh V., Salimi P., Al-Mazrooei A. E., Various Suzuki type theorems in $b$-metric spaces. J. Nonlinear Sci. Appl. (2015); 8(4):363--377

Chicago/Turabian Style

Latif, A., Parvaneh, V., Salimi, P., Al-Mazrooei, A. E.. "Various Suzuki type theorems in $b$-metric spaces." Journal of Nonlinear Sciences and Applications, 8, no. 4 (2015): 363--377

Keywords

• Ordered metric space
• b-metric space
• fixed point.

•  47H10
•  54H25

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