广义kannan型收缩与不动点定理

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-06-23 DOI:10.1007/s11766-023-4093-1

Yan Han, Shao-yuan Xu, Chao Ma

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引用次数: 0

摘要

本文介绍了Banach代数上锥度量空间中的广义kannan型收缩。得到了满足广义压缩条件的不动点定理，不依赖于X的完备性和圆锥的正规性。映射的连续性是松弛的。进一步证明了如果广义kannan型收缩在x上有一个不动点，那么Banach代数上锥度量空间中的完备性是必要的。这些结果极大地推广了文献中几个著名的可比结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Generalized Kannan-type contraction and fixed point theorems

In this paper, the generalized Kannan-type contraction in cone metric spaces over Banach algebras is introduced. The fixed point theorems satisfying generalized contractive conditions are obtained, without appealing to completeness of X or normality of the cone. The continuity of the mapping is relaxed. Furthermore, we prove that the completeness in cone metric spaces over Banach algebras is necessary if the generalized Kannan-type contraction has a fixed point in X. These results greatly generalize several well-known comparable results in the literature.

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来源期刊

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.