共查询到19条相似文献,搜索用时 15 毫秒
1.
G. Sankara Raju Kosuru 《Numerical Functional Analysis & Optimization》2013,34(7):887-900
The aim of this article is to provide extensions of Edelstein's theorem for a class of contractive mappings, namely cyclic contractive mappings. We prove the existence and convergence of best proximity points of a cyclic contractive map. We also discuss continuity properties of cyclic contractive maps. Finally, we give a characterization of such maps in the setting of a Hilbert space. 相似文献
2.
Akram Safari-Hafshejani Alireza Amini-Harandi Majid Fakhar 《Numerical Functional Analysis & Optimization》2019,40(5):603-619
In this article, in the setting of metric spaces we introduce the notions of noncyclic and cyclic Fisher quasi-contraction mappings. We establish the existence of an optimal pair of fixed points for a noncyclic Fisher quasi-contraction mapping and iterative algorithms are furnished to determine such optimal pair of fixed points. For a cyclic Fisher quasi-contraction mapping, we also study the existence of best proximity points. Presented results extend and improve some recent results in the literature. 相似文献
3.
Eskandar Naraghirad 《Numerical Functional Analysis & Optimization》2017,38(4):409-426
In this article, using Bregman functions and Bregman distances, we first introduce the notion of Bregman best proximity points, extending the notion of best proximity points introduced and studied in [1]. We then prove existence and convergence results of Bregman best proximity points for Bregman cyclic contraction mappings in the setting of Banach spaces. It is well known that the Bregman distance does not satisfy either the symmetry property or the triangle inequality which are required for standard distances. Numerical examples are included at the end of the paper. So, our results improve and generalize many known results in the current literature. 相似文献
4.
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
5.
关于最近点对及近渡点存在性与唯一性 总被引:5,自引:0,他引:5
给定两个不主集合F,G研究最近点对(x,y)存在性及与近距映射PGx0,Pry0的关系,以及与近渡点存在的关系。又引入严凸集,它对研究最近点对唯一性与近渡点唯一性起重要作用,而F,G一个严凸,一个凸的仍不保证唯一性,除非在严凸空间情形. 相似文献
6.
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
7.
Moosa Gabeleh 《Numerical Functional Analysis & Optimization》2013,34(8):1013-1028
In this article, we establish some new existence theorems for best proximity point and fixed point problems for certain mappings in Banach spaces. The main results of this article improve and extend the results presented by Wong [25]. Examples are given to support the usability of our main conclusions. 相似文献
8.
In order to solve global minimization problems involving best proximity points, we introduce general Mann algorithm for nonself nonexpansive mappings and then prove weak and strong convergence of the proposed algorithm under some suitable conditions in real Hilbert spaces. Furthermore, we also provide numerical experiment to illustrate the convergence behavior of our proposed algorithm.
相似文献9.
Moosa Gabeleh 《Indagationes Mathematicae》2019,30(1):227-239
Given and two nonempty subsets of a metric space, a mapping is noncyclic provided that and . A point is called a best proximity pair for the noncyclic mapping if and . In this article, we survey the convergence of Picard’s iteration to a best proximity pair for noncyclic contractions using a projection algorithm in uniformly convex Banach spaces, where the initial point is in the proximal set of . We also provide some sufficient conditions to ensure the existence of a common best proximity pairs for a pair of noncyclic mappings. 相似文献
10.
《Mathematical Methods in the Applied Sciences》2018,41(1):140-143
Recently, Sanhan and Mongkolkeha introduced the concept of Berinde's cyclic contraction, and they established some results. Unfortunately, these results seem to be incorrect. In this paper, some counterexamples are given. 相似文献
11.
The aim of this paper is to study the exponential symmetric product formula for the semigroup of the one-dimensional harmonic
oscillator to discuss its convergence pointwise of the integral kernels as well as in norm with sharp optimal error bound.
相似文献
12.
该文在没有任何连续性和紧性条件下, 得到了一类随机减算子随机不动点存在唯一性定理, 并由此给出了应用到随机积分方程的两个例子. 相似文献
13.
A more general form of modified Mann iterations which converges strongly to a zero point of an m-accretive operator is given. The work in this paper is an extension and complement of the corresponding result of Kim T.H. and Xu H.K in 2005 相似文献
14.
Soo Hak Sung 《随机分析与应用》2013,31(2):282-291
A rate of complete convergence for weighted sums of arrays of rowwise independent Banach space valued random elements was obtained by Ahmed et al. [1]. Recently, Sung and Volodin [2], Chen et al. [3], and Kim and Ko [4] solved an open question posed by Ahmed et al. In this article, we improve and complement the result of Ahmed et al. The method used in this article is simpler than those in Ahmed et al., Sung and Volodin, Chen et al., and Kim and Ko. 相似文献
15.
We derive the explicit fundamental solutions for a class of degenerate (or singular) one-parameter subelliptic differential operators on groups of Heisenberg (H) type. This extends the results of Kaplan of the sub-Laplacian on H-type groups, which in turn generalizes Folland's result on the Heisenberg group. As an application, we obtain a one-parameter representation formula for Sobolev functions of compact support on H-type groups. By choosing the parameter equal to the homogeneous dimension Q and using the Moser-Trudinger inequality for the convolutional type operator on stratified groups obtained in [18], we get the following theorem which gives the best constant for the Moser-Trudinger inequality for Sobolev functions in H-type groups. Let ${\Bbb G}We derive the explicit fundamental solutions for a class of degenerate (or singular) one-parameter subelliptic differential
operators on groups of Heisenberg (H) type. This extends the results of Kaplan of the sub-Laplacian on H-type groups, which
in turn generalizes Folland's result on the Heisenberg group. As an application, we obtain a one-parameter representation
formula for Sobolev functions of compact support on H-type groups. By choosing the parameter equal to the homogeneous dimension
Q and using the Moser-Trudinger inequality for the convolutional type operator on stratified groups obtained in [18], we get
the following theorem which gives the best constant for the Moser-Trudinger inequality for Sobolev functions in H-type groups.
Let ? be any group of Heisenberg type whose Lie algebra is g enerated by m left invariant vector fields and with a q-dimensional center. Let and
Then,
with A
Q
as the sharp constant, where ∇? denotes the subellitpic gradient on ?
This continues the research originated in our earlier study of the best constants in Moser-Trudinger inequalities and fundamental
solutions for one-parameter subelliptic operators on the Heisenberg group [18].
Received March 15, 2001, Accepted September 21, 2001 相似文献
16.
对“关于第一类不连续点函数的介值定理和积分中值定理”一文的注记 总被引:1,自引:0,他引:1
李衍禧 《数学的实践与认识》2007,37(8):183-185
利用只有第一类不连续点函数的介值定理和勒贝格积分理论,建立了至多有第一类不连续点函数的积分中值定理的推广形式,推广了徐永利的结论. 相似文献
17.
Abdelhadi Es-Sarhir 《Journal of Mathematical Analysis and Applications》2009,353(2):497-446
We prove a smoothing property and the irreducibility of transition semigroups corresponding to a class of semilinear stochastic equations on a separable Hilbert space H. Existence and uniqueness of invariant measures are discussed as well. 相似文献
18.
In this note, we derive the complete recursive structure of the Birge and Qi factorization for interior point methods (IPM) for tree structured linear programs as they appear in multistage stochastic programs. This recursive structure allows for an elegant implementation on parallel hardware, since multiple versions of the same program may be run on on different processors. Our preliminary computational experiment, conducted on a Beowulf cluster, demonstrates the scalability of this approach. 相似文献
19.
Davod Khojasteh Salkuyeh 《Applied Mathematical Modelling》2012,36(1):168-172
In this note, we point out an error in the recently published article [R.K. Mohanty, M.K. Jain, D. Dhall, A cubic spline approximation and application of TAGE iterative method for the solution of two-point boundary value problems with forcing function in integral form, Appl. Math. Model. 35 (2011) 3036-3047] and then correct it. 相似文献