Geodesic
Pair $(F,h)$ upper class and $(\alpha ,\mu)$-generalized multivalued rational type contractions
Chuensupantharat, Nantaporn1 ; Kumam, Poom2 ; Ansari, Arslan Hojat3 ; Ali, Muhammad Usman4
1 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
2 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
3 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
4 School of Natural Sciences, Department of Mathematics, National University of Sciences and Technology, H-12, Islamabad, Pakistan
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 6, p. 2868-2878.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.010.06.02
Classification : 47H10, 54H25
Keywords: \(\alpha\)-admissible, \(\mu\)-subadmissible, fixed point, \((\alpha ،\mu)\)-generalized multivalued rational contraction, pair \((F، h)\) upper class condition.

Chuensupantharat, Nantaporn 1 ; Kumam, Poom 2 ; Ansari, Arslan Hojat 3 ; Ali, Muhammad Usman 4

1 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
2 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
3 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
4 School of Natural Sciences, Department of Mathematics, National University of Sciences and Technology, H-12, Islamabad, Pakistan 
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     title = {Pair {\((F,h)\)} upper class and \((\alpha ,\mu)\)-generalized multivalued rational type contractions},
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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 its applications, Tome 10 (2017) no. 6, p. 2868-2878. doi : 10.22436/jnsa.010.06.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.06.02/

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