Fixed point results of Edelstein-Suzuki type multivalued mappings on b-metric spaces with applications
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Authors
H. A. Alolaiyan
- Mathematical Department, King Saud University, Saudi Arabia.
B. Ali
- Department of Mathematics and Applied Mathematics, University of Pretoria, Lynnwood road, Pretoria 0002, South Africa.
M. Abbas
- Department of Mathematics, University of Management and Technology, C-II, Johar Town, Lahore, Pakistan.
- Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.
Abstract
We obtain Edelstein-Suzuki type theorems for multivalued mappings in compact b-metric spaces. Moreover, we prove the
existence of coincidence and common fixed points of a hybrid pair of mappings that satisfies Edelstein-Suzuki type contractive
condition. We present some examples along with a comparison with results in existing literature. In the end, we present some
corollaries in the metric spaces with applications in best approximation theory.
Share and Cite
ISRP Style
H. A. Alolaiyan, B. Ali, M. Abbas, Fixed point results of Edelstein-Suzuki type multivalued mappings on b-metric spaces with applications, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 3, 1201--1214
AMA Style
Alolaiyan H. A., Ali B., Abbas M., Fixed point results of Edelstein-Suzuki type multivalued mappings on b-metric spaces with applications. J. Nonlinear Sci. Appl. (2017); 10(3):1201--1214
Chicago/Turabian Style
Alolaiyan, H. A., Ali, B., Abbas, M.. "Fixed point results of Edelstein-Suzuki type multivalued mappings on b-metric spaces with applications." Journal of Nonlinear Sciences and Applications, 10, no. 3 (2017): 1201--1214
Keywords
- Edelstein-Suzuki
- metric space
- multivalued mapping
- best approximations
- fixed point.
- Edelstein-Suzuki
- metric space
- multivalued mapping
- best approximations
- fixed point.
MSC
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