2017
DOI: 10.22436/jnsa.010.02.12
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Tripled random coincidence point and common fixed point results of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras

Abstract: 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 exist… Show more

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“…A large number of works are noted in [1, 11, 16-20, 31, 35, 36] and the relevant literature therein. Recently, Jiang et al [13] proved tripled random coincidence point and common fixed point results of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras. In this paper, we present several quadruple random common fixed points theorems with several generalized Lipschitz constants of cone b-metric spaces over Banach algebras.…”
Section: Introductionmentioning
confidence: 99%
“…A large number of works are noted in [1, 11, 16-20, 31, 35, 36] and the relevant literature therein. Recently, Jiang et al [13] proved tripled random coincidence point and common fixed point results of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras. In this paper, we present several quadruple random common fixed points theorems with several generalized Lipschitz constants of cone b-metric spaces over Banach algebras.…”
Section: Introductionmentioning
confidence: 99%