Quadruple random common fixed point results of generalized Lipschitz mappings in cone \(b\)-metric spaces over Banach algebras
Volume 11, Issue 1, pp 131--149
http://dx.doi.org/10.22436/jnsa.011.01.10
Publication Date: January 12, 2018
Submission Date: May 31, 2017
Revision Date: September 14, 2017
Accteptance Date: November 06, 2017
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Authors
Chayut Kongban
- KMUTTFixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand.
- KMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA), Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT), 26 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand.
Poom Kumam
- KMUTTFixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand.
- Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan.
- KMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA), Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT), 26 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand.
Abstract
In this paper, we introduce the concept of cone \(b\)-metric spaces over Banach algebras and present some quadruple random coincidence points and quadruple random common fixed point theorems for nonlinear operators in such spaces.
Share and Cite
ISRP Style
Chayut Kongban, Poom Kumam, Quadruple random common fixed point results of generalized Lipschitz mappings in cone \(b\)-metric spaces over Banach algebras, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 1, 131--149
AMA Style
Kongban Chayut, Kumam Poom, Quadruple random common fixed point results of generalized Lipschitz mappings in cone \(b\)-metric spaces over Banach algebras. J. Nonlinear Sci. Appl. (2018); 11(1):131--149
Chicago/Turabian Style
Kongban, Chayut, Kumam, Poom. "Quadruple random common fixed point results of generalized Lipschitz mappings in cone \(b\)-metric spaces over Banach algebras." Journal of Nonlinear Sciences and Applications, 11, no. 1 (2018): 131--149
Keywords
- Quadruple random fixed point
- quadruple common random fixed point
- quadruple random coincidence point
- cone \(b\)-metric space over Banach algebra
MSC
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