On Generalized Algebraic Cone Metric Spaces and Fixed Point Theorems |
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Authors: | Qing MENG |
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Institution: | School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, China. |
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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. |
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Keywords: | Generalized algebraic cone metric space Canonical decomposition Fixed point |
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