具有Banach代数的半序锥b-度量空间的一类改进（英文）

The purpose of this paper is to improve some famous theorems for contractive mapping from ρ(α + β) ∈ 0,1/s) to ρ(α + β) ∈ 0, 1) in ordered cone b-metric spaces over Banach algebras with coefficient s ≥ 1(ρ(x) is the spectral radius of the generalized Lipschitz constant x). Moreover, some similar improvements in ordered cone b-metric spaces are also obtained, which from α + β∈ 0,1/s) to α + β∈ 0, 1). Some examples are given to support that our new results are genuine improvements and generalizations.