On Generalized Algebraic Cone Metric Spaces and Fixed Point Theorems 被引量：1

On Generalized Algebraic Cone Metric Spaces and Fixed Point Theorems

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摘要 In this paper, the author first introduces the concept of generalized algebraic cone metric spaces and some elementary results concerning generalized algebraic cone metric spaces. Next, by using these results, some new fixed point theorems on generalized(complete) algebraic cone metric spaces are proved and an example is given. As a consequence, the main results generalize the corresponding results in complete algebraic cone metric spaces and generalized complete metric spaces. In this paper, the author first introduces the concept of generalized algebraic cone metric spaces and some elementary results concerning generalized algebraic cone metric spaces. Next, by using these results, some new fixed point theorems on generalized(complete) algebraic cone metric spaces are proved and an example is given. As a consequence, the main results generalize the corresponding results in complete algebraic cone metric spaces and generalized complete metric spaces.

作者 Qing MENG

机构地区 School of Mathematical Sciences

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2019年第3期429-438,共10页 数学年刊（B辑英文版）

基金 supported by the National Natural Science Foundation of China(Nos.11871303,11371222,11271224) the China Postdoctoral Science Foundation(No.2018M642633) A Project of Shandong Province Higher Educational Science and Technology Program(No.J18KA238)

关键词 Generalized ALGEBRAIC CONE METRIC space CANONICAL DECOMPOSITION Fixed point Generalized algebraic cone metric space Canonical decomposition Fixed point

分类号 O189.11 [理学—基础数学]

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参考文献2

1Duran TURKOGLU,Muhib ABULOHA.Cone Metric Spaces and Fixed Point Theorems in Diametrically Contractive Mappings[J].Acta Mathematica Sinica,English Series,2010,26(3):489-496. 被引量：10
2Wajdi CHAKER,Abdelaziz GHRIBI,Aref JERIBI,Bilel KRICHEN.Fixed Point Theorems for(p, q)-Quasi-Contraction Mappings in Cone Metric Spaces[J].Chinese Annals of Mathematics,Series B,2016,37(2):211-220. 被引量：1

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