Quadruple random common fixed point results of generalized Lipschitz mappings in cone $b$-metric spaces over Banach algebras

Kongban, Chayut; Kumam, Poom

doi:10.22436/jnsa.011.01.10

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Quadruple random common fixed point results of generalized Lipschitz mappings in cone $b$-metric spaces over Banach algebras

Kongban, Chayut ¹ ; Kumam, Poom ²

¹ 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
² 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

Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 1, p. 131-149.

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

Résumé

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.

DOI : 10.22436/jnsa.011.01.10

Classification : 47H10, 60H25
Keywords: Quadruple random fixed point, quadruple common random fixed point, quadruple random coincidence point, cone $b$-metric space over Banach algebra

Affiliations des auteurs :

Kongban, Chayut ¹ ; Kumam, Poom ²

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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 its applications, Tome 11 (2018) no. 1, p. 131-149. doi : 10.22436/jnsa.011.01.10. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.011.01.10/

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