| 偏序Menger PSM-空间中的耦合重合点定理 |
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| 引用本文： | 胡 品 谷 峰. 偏序Menger PSM-空间中的耦合重合点定理[J]. 应用数学, 2020, 33(3): 733-746 |
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| 作者姓名： | 胡 品 谷 峰 |
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| 作者单位： | 杭州师范大学理学院, 浙江 杭州 311121 |
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| 基金项目： | 国家自然科学基金资助(11071169);浙江省自然科学基金资助(Y6110287)。 |
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| 摘 要： | 引入Menger概率S-度量空间的概念,研究其拓扑性质,基于混合g-单调映射的概念,在偏序Menger PSM-空间中,证明了自映象对满足ϕ-压缩条件下的耦合重合点和耦合公共不动点定理和推论,并给出例子验证新结果的有效性.
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| 关 键 词： | Menger PSM-空间 偏序集 耦合重合点 耦合公共不动点 混合g-单调映射 |
Some Coupled Coincidence Point Theorems in PartiallyOrdered Menger PSM-Space |
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| HU Pin,GU Feng. Some Coupled Coincidence Point Theorems in PartiallyOrdered Menger PSM-Space[J]. Mathematica Applicata, 2020, 33(3): 733-746 |
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| Authors: | HU Pin GU Feng |
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| Affiliation: | (College of Science,Hangzhou Normal University,Hangzhou 311121,China) |
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| Abstract: | In this paper, we introduce a new concept of metric space, which is called Menger probabilistic S-metric space and investigate some property. On the basis of mixed g-monotone mapping,some coupled coincidence and coupled common fixed point theorems and corollaries are proved under φ-contractive condition for self-maps in partially ordered Menger PSM-Space. Meantime, a specific example is provided to support the new result. |
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| Keywords: | Menger PSM-space Partially ordered set Coupled coincidence point Coupled common fixed point Mixed g-monotone mapping |
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