Common fixed points for multivalued mappings in G-metric spaces with applications


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.


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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


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