共查询到17条相似文献,搜索用时 46 毫秒
1.
PM-空间中混合压缩的不动点定理与重合点定理 总被引:2,自引:2,他引:0
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
2.
3.
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
4.
5.
6.
7.
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
8.
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
9.
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
10.
卜香娟 《纯粹数学与应用数学》2012,28(3):333-341
在Banach空间中,利用迭代方法,研究了满足一定条件的序压缩算子的一些性质,获得了一类序压缩映射的不动点定理,证明了相应的结果,推广和改进了原有的结论,使其应用范围更加广泛. 相似文献
11.
Let (A, B) be a nonempty bounded closed convex proximal parallel pair in a nearly uniformly convex Banach space and T: A ∪ B → A ∪ B be a continuous and asymptotically relatively nonexpansive map. We prove that there exists x ∈ A ∪ B such that ‖x ? Tx‖ = dist(A, B) whenever T(A) ? B, T(B) ? A. Also, we establish that if T(A) ? A and T(B) ? B, then there exist x ∈ A and y ∈ B such that Tx = x, Ty = y and ‖x ? y‖ = dist(A, B). We prove the aforementioned results when the pair (A, B) has the rectangle property and property UC. In the case of A = B, we obtain, as a particular case of our results, the basic fixed point theorem for asymptotically nonexpansive maps by Goebel and Kirk. 相似文献
12.
Fixed Point Theorems for Weakly Contractive Mappings in Ordered Metric Spaces with an Application 下载免费PDF全文
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
13.
S. Sadiq Basha 《Numerical Functional Analysis & Optimization》2019,40(10):1182-1193
This article explores some new best proximity point theorems for absolute proximal cyclic contractions and dual supreme proximal contractions which are not necessarily continuous. As a consequence of such best proximity point theorems, the famous contraction principle is elicited. 相似文献
14.
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
15.
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
16.
Aurora Fernández-León Adriana Nicolae 《Numerical Functional Analysis & Optimization》2013,34(11):1399-1418
Given A and B two nonempty subsets in a metric space, a mapping T: A ∪ B → A ∪ B is relatively nonexpansive if d(Tx, Ty) ≤ d(x, y) for every x ∈ A, y ∈ B. A best proximity point for such a mapping is a point x ∈ A ∪ B such that d(x, Tx) = dist(A, B). In this work, we extend the results given in Eldred et al. (2005) [A.A. Eldred, W.A. Kirk, P. Veeramani, Proximal normal structure and relatively nonexpansive mappings, Studia Math. 171, 283–293] for relatively nonexpansive mappings in Banach spaces to more general metric spaces. Namely, we give existence results of best proximity points for cyclic and noncyclic relatively nonexpansive mappings in the context of Busemann convex reflexive metric spaces. Moreover, particular results are proved in the setting of CAT(0) and uniformly convex geodesic spaces. Finally, we show that proximal normal structure is a sufficient but not necessary condition for the existence in A × B of a pair of best proximity points. 相似文献
17.
半序度量空间中单调映射的不动点定理及混合单调映射的耦合不动点定理 总被引:19,自引:1,他引:18
本文在度量空间中引入半序,证明了半序度量空间中单调增加映射的不动点定理及混合单调映射的耦合不动点定理. 相似文献