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度量空间中反交换映射的公共不动点 总被引:5,自引:1,他引:4
吕中学 《应用泛函分析学报》2002,4(3):226-227
通过引入度量空间中的反交换映射,证明了一个公共不动点定理。这一结果不同于相关的献。 相似文献
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本文在Menger概率度量空间中引进Caristi型混合不动点概念,得到两个混合不动点定理和两个集值映象序列的公共混合不动点定理,我们的定理改进和推广了Caristi不动点定理及相关的近期重要结果. 相似文献
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在TVS-锥度量空间概念的基础上,建立了TVS-锥度量空间的若干理论,并运用这些理论,对满足不同条件的扩张型映射,采用不同的迭代方法,得到了TVS-锥度量空间中扩张映射新的不动点定理,结果是度量空间中某些经典结果在锥度量空间的进一步推广和发展. 相似文献
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本文给出了Fuzzy度量空间中Fuzzy映射的重合定理,推广了文(3)(5)中主要的结果。 相似文献
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本文在概率度量空间的框架下,得到了Fuzzy映象的几个公共不动点和不动度定理。本文结果包含和改进了某些最新结果。 相似文献
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Generalized Coupled Fixed Point Results on Complex Partial Metric Space Using Contractive Condition
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Mani Gunaseelan Lakshmi Narayan Mishr Vishnu Narayan Mishra 《Journal of Nonlinear Modeling and Analysis》2021,3(1):93-104
In this paper, we obtain coupled fixed point results on complex partial metric space under contractive condition. An example to support our result is presented. 相似文献
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The Hutchinson-Barnsley (HB) operators are studied for multi iterated function system in a general setting. Some existence and uniqueness results are obtained in fuzzy fractal and multi fuzzy fractal spaces. From them, we obtain our results, which generalize some recent results in the literature. 相似文献
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本文给出了Fuzzy度量空间上压缩型映射对的几个公共不动点定理,扩充了Fisher[2]中主要结果,作为特例,给出了SST-PM空间上几个新的不动点定理。 相似文献
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《数学季刊》2016,(4):390-398
A new unique common fixed point result for a pair of mappings satisfying certain quasi-Lipschitz type conditions on a topological vector space-valued cone metric space is obtained, and its particular forms and a more general form are given. Our main results generalize and improve some well-known recent results in the literature. 相似文献
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研究了超凸度量空间中非扩张映象不动点的逼近问题,得到了具误差的Ishikawa迭代序列收敛到不动点的一个充要条件. 相似文献
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In this paper, we consider a countable family of surjective mappings {Tn}n∈N satisfying certain quasi-contractive conditions. We also construct a convergent sequence { Xn } n c∈Nby the quasi-contractive conditions of { Tn } n ∈N and the boundary condition of a given complete and closed subset of a cone metric space X with convex structure, and then prove that the unique limit x" of {xn}n∈N is the unique common fixed point of {Tn}n∈N. Finally, we will give more generalized common fixed point theorem for mappings {Ti,j}i,j∈N. The main theorems in this paper generalize and improve many known common fixed point theorems for a finite or countable family of mappings with quasi-contractive conditions. 相似文献
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