Geodesic
Tripled random coincidence point and common fixed point results of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras
Jiang, Binghua1 ; Cai, Zelin1 ; Chen, Jinyang1 ; Huang, Huaping2
1 School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, China
2 School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 2, p. 465-482.

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

In this paper, based on the concept of cone b-metric space over Banach algebra, which was introduced by Huang and Radenovic [H.-P. Huang, S. Radenović, J. Nonlinear Sci. Appl., 8 (2015), 787–799], we obtain some tripled common random fixed point and tripled random fixed point theorems with several generalized Lipschitz constants in such spaces. We consider the obtained assertions without the assumption of normality of cones. The presented results generalize some coupled common fixed point theorems in the existing literature.
DOI : 10.22436/jnsa.010.02.12
Classification : 54H25, 47H10, 54E50
Keywords: Tripled random fixed point, tripled random coincidence point, cone b-metric space over Banach algebra, generalized Lipschitz constant, tripled common random fixed point.

Jiang, Binghua 1 ; Cai, Zelin 1 ; Chen, Jinyang 1 ; Huang, Huaping 2

1 School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, China
2 School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China 
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Jiang, Binghua; Cai, Zelin; Chen, Jinyang; Huang, Huaping. Tripled random coincidence point and common fixed point results of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 2, p. 465-482. doi : 10.22436/jnsa.010.02.12. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.02.12/

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