Pair \((F,h)\) upper class and \((\alpha ,\mu)\)-generalized multivalued rational type contractions


Authors

Nantaporn Chuensupantharat - KMUTT-Fixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand. Poom Kumam - KMUTT-Fixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand. - KMUTT-Fixed Point Theory and Applications Research Group, Theoretical and Computational Science (TaCS) Center, Science Laboratory Building, Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand. - Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan. Arslan Hojat Ansari - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran. Muhammad Usman Ali - School of Natural Sciences, Department of Mathematics, National University of Sciences and Technology, H-12, Islamabad, Pakistan.


Abstract

In this paper, we introduce notions of \((\alpha ,\mu)\)-generalized rational contraction conditions and investigate the existence of the fixed point of such mappings on complete metric spaces. To illustrate our result we also construct an example.


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ISRP Style

Nantaporn Chuensupantharat, Poom Kumam, Arslan Hojat Ansari, Muhammad Usman Ali, Pair \((F,h)\) upper class and \((\alpha ,\mu)\)-generalized multivalued rational type contractions, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 6, 2868--2878

AMA Style

Chuensupantharat Nantaporn, Kumam Poom, Ansari Arslan Hojat, Ali Muhammad Usman, Pair \((F,h)\) upper class and \((\alpha ,\mu)\)-generalized multivalued rational type contractions. J. Nonlinear Sci. Appl. (2017); 10(6):2868--2878

Chicago/Turabian Style

Chuensupantharat, Nantaporn, Kumam, Poom, Ansari, Arslan Hojat, Ali, Muhammad Usman. "Pair \((F,h)\) upper class and \((\alpha ,\mu)\)-generalized multivalued rational type contractions." Journal of Nonlinear Sciences and Applications, 10, no. 6 (2017): 2868--2878


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