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| On Generalized Algebraic Cone Metric Spaces and Fixed Point Theorems |
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Citation： |
Qing MENG.On Generalized Algebraic Cone Metric Spaces and Fixed Point Theorems[J].Chinese Annals of Mathematics B,2019,40(3):429~438 |
| Page view： 804
Net amount： 616 |
Authors： |
Qing MENG; |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.11871303, 11371222, 11271224), the China
Postdoctoral Science Foundation (No.2018M642633) and A Project of
Shandong Province Higher Educational Science and Technology Program
(No.J18KA238). |
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| Abstract： |
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. |
Keywords： |
Generalized algebraic cone metric space, Canonical decomposition, Fixed point |
Classification： |
47H10, 54H25 |
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