Some new fixed point results under constraint inequalities in comparable complete partially ordered Menger PM-spaces

Zhao-qi Wu, Lin Zhang, Chuan-xi Zhu, Cheng-gui Yuan
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Abstract

In this paper, we introduce the concept of comparable \({\cal T}\)-completeness of a partially ordered Menger PM-space and discuss the existence of fixed points for mappings satisfying certain conditions in the framework of a comparable \({\cal T}\)-complete partially ordered Menger PM-space. We obtain some new results which generalize many known ones in the literature. Moreover, we derive some consequent results and give an example to illustrate our main result.

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可比完全偏序Menger PM空间中约束不等式下的一些新的不动点结果
本文引入了部分有序Menger pm -空间的可比较\({\cal T}\) -完备性的概念,讨论了在可比较\({\cal T}\) -完备的部分有序Menger pm -空间框架中满足一定条件的映射不动点的存在性。我们得到了一些新的结果,这些结果推广了文献中许多已知的结果。此外,我们还推导了一些相应的结果,并给出了一个例子来说明我们的主要结果。
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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.
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