摘要
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.
作者
HAN Yan
XU Shao-yuan
DONG Yan-shou
韩艳;许绍元;董延寿(School of Mathematics and Statistics, Zhaotong University;School of Mathematics and Statistics, Hanshan Normal University)
基金
Supported by Yunnan Applied Basic Research Projects(2016FD082)
Guiding project of Scientific Research Fund of Yunnan Provincial Education Department(2016ZDX151)