Common fixed points for multivalued mappings in G-metric spaces with applications
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Authors
Z. Mustafa
- Department of Mathematics, Statistics and Physics, Qatar University, Doha, Qatar.
M. Arshad
- Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan.
S. U. Khan
- Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan.
- Department of Mathematics, Gomal University D. I. Khan, KPK, Pakistan.
J. Ahmad
- Department of Mathematics, University of Jeddah, P. O. Box 80327, Jeddah 21589, Saudi Arabia.
M. Jaradat
- Department of Mathematics, Statistics and Physics, Qatar University, Doha, Qatar.
Abstract
In this paper, we define new notions called (g-F) contractions and generalize Mizoguchi-Takahashi contractions for complete
G-metric spaces and we establish some new coincidence points and common fixed point results. Our results unify and generalize
various known comparable results from the current literature. An example and application are given to illustrate the usability
of the main results.
Share and Cite
ISRP Style
Z. Mustafa, M. Arshad, S. U. Khan, J. Ahmad, M. Jaradat, Common fixed points for multivalued mappings in G-metric spaces with applications, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 5, 2550--2564
AMA Style
Mustafa Z., Arshad M., Khan S. U., Ahmad J., Jaradat M., Common fixed points for multivalued mappings in G-metric spaces with applications. J. Nonlinear Sci. Appl. (2017); 10(5):2550--2564
Chicago/Turabian Style
Mustafa, Z., Arshad, M., Khan, S. U., Ahmad, J., Jaradat, M.. "Common fixed points for multivalued mappings in G-metric spaces with applications." Journal of Nonlinear Sciences and Applications, 10, no. 5 (2017): 2550--2564
Keywords
- G-metric space
- fixed point
- F-contraction
- (g-F) contraction.
MSC
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