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

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.


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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


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