共查询到18条相似文献,搜索用时 46 毫秒
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引进了Menger PM-空间中多值情形下的相容映象和弱相容映象概念,并研究了二者之间的联系.在此基础上,获得了Menger PM-空间中若干新的不动点和重合点定理.最后,给出了这一结果在度量空间中的应用. 相似文献
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本文在概率度量空间中定义广义β-可容许映射序列这个新概念,在不同的压缩条件下,利用半序方法,得到映射序列的重合点定理,所得结论推广和改进了有关文献中的不动点定理,最后给出主要结果的一个应用. 相似文献
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在Menger PM-空间中,引入广义β-可容许映射的概念。在不要求两映射可交换的情况下,利用迭代法,建立了广义β-可容许映射的二元重合点定理。获得了一些新的结果,推广和改进了相关文献中的不动点定理和二元重合点定理。最后,给出了主要结果的一个应用。 相似文献
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研究了实赋范线性空间中一致连续广义φ-半压缩映射带误差的Ishikawa序列迭代逼近问题,改进和推广了现有的结果. 相似文献
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研究了实赋范线性空间中一致连续广义Φ-半压缩映射带误差的Ishikawa序列迭代逼近问题,改进和推广了现有的结果. 相似文献
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本文提出了一类称为$p$-逼近$alpha$-$eta$-$beta$-拟压缩的新的非自映射,并引进了关于$eta$的$alpha$-逼近可容许映射和关于$eta$的$(alpha,d)$正则映射的概念.基于这些新概念,在$w_0$-距离度量空间中研究了此类新压缩最佳逼近点的存在唯一性,并给出了一个新的定理,推广和补充了文[Ayari, M. I. et al. Fixed Point Theory Appl., 2017, 2017: 16]和[Ayari, M. I. et al. Fixed Point Theory Appl., 2019, 2019: 7]中的结果.给出了一个例子来说明主要结果的有效性.进一步地,作为推论得到关于两个映射的最佳逼近点和公共不动点定理.作为其中一个推论的应用,讨论了一类Volterra型积分方程组的求解问题. 相似文献
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Fixed Point Theorems for Weakly Contractive Mappings in Ordered Metric Spaces with an Application
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Gopi Prasad & Ramesh Chandra Dimri 《分析论及其应用》2022,38(2):232-242
In this paper, we prove fixed point theorem for weakly contractive mappings using locally $T$-transitivity of binary relation and presenting an analogous version of Harjani and Sadarangani theorem involving more general relation theoretic
metrical notions. Our fixed point results under universal relation reduces to Harjani
and Sadarangani [Nonlinear Anal., 71 (2009), 3403–3410] fixed point theorems. In this
way we also generalize some of the recent fixed point theorems for weak contraction
in the existing literature. 相似文献
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半序方法是研究非线性算子方程问题的主要方法之一.在概率度量空间中引入半序,并且利用半序方法研究了非线性算子的不动点问题,推广了度量空间中序压缩算子的不动点定理,获得若干新的结果. 相似文献
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Chirasak Mongkolkeha Poom Kumam 《Journal of Optimization Theory and Applications》2012,155(1):215-226
In this paper, we generalized a cyclic contraction on a partially ordered complete metric space. We prove some fixed point theorems as well as some theorems on the existence of best proximity points. Our results improve and extend some recent results in the previous work. 相似文献
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研究度量空间上两个自映射f,g在部分交换条件下的公共不动点问题.Pan t等人用不等式条件去肯定f,g在等值点的值是f,g的公共不动点.探求条件,使得叠代产生的f,g的等值点列的极限为f,g的公共不动点更切合实际.定理2.1和定理2.3是这方面研究的两个结果,定理2.2拓展了Banach压缩映射原理. 相似文献
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讨论了Banach空间中拟压缩映射和广义压缩映射的具误差的Ishikawa迭代序列的收敛性,得出了在一定条件下,这两类压缩映射分别强收敛于它们的不动点.这些结论推广和发展了已有的相关结果,使这些结果的适用范围更广. 相似文献
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Let E be a real uniformly convex and smooth Banach space, and K be a nonempty closed convex subset of E with P as a sunny nonexpansive retraction. Let T1, T2 : K → E be two weakly inward nonself asymptotically nonexpansive mappings with respect to P with a sequence {k(i)n} [1, ∞)(i = 1, 2), and F := F(T1)∩F(T2) = . An iterative sequence for approximation common fixed points of the two nonself asymptotically nonexpansive mappings is discussed. If E has also a Fr′echet differentiable norm or its dual E*has Kadec-Klee property, then weak convergence theorems are obtained. 相似文献
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Some new fixed point and coupled fixed point theorems for multivalued increasing type mappings are obtained and a new system of multivalued generalized order complementarity problems is introduced in this paper. In terms of new fixed point and coupled fixed point theorems, we give some existance results of solutions for this new system of multivalued generalized order complementarity problems. The results presented in this paper extend and improve the corresponding results announced by Isac and Kostreva. 相似文献
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We prove the existence and uniqueness of solution for a first-order ordinary differential equation with periodic boundary
conditions admitting only the existence of a lower solution. To this aim, we prove an appropriate fixed point theorem in partially
ordered sets.
★ Partially supported by Ministerio de Ciencia y Tecnología/ FEDER, project BFM2001-3884-C02-01; and by Xunta de Galicia/
FEDER, project PGIDIT02PXIC20703PN. 相似文献