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An Improvement in Ordered Cone b-metric Spaces Over Banach Algebras

具有Banach代数的半序锥b-度量空间的一类改进(英文)
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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)
出处 《Chinese Quarterly Journal of Mathematics》 2019年第1期43-51,共9页 数学季刊(英文版)
基金 Supported by Yunnan Applied Basic Research Projects(2016FD082) Guiding project of Scientific Research Fund of Yunnan Provincial Education Department(2016ZDX151)
关键词 CONE b-metric spaces OVER BANACH ALGEBRAS c-distance generalized LIPSCHITZ MAPPINGS fixed point Cone b-metric spaces over Banach algebras c-distance generalized Lipschitz mappings fixed point
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