共查询到20条相似文献,搜索用时 46 毫秒
1.
Asadollah Aghajani Stojan Radenovi? Jamal Rezaei Roshan 《Applied mathematics and computation》2012,218(9):5665-5670
In this paper, we define the concept of almost generalized (S, T)-contractive condition, and prove some common fixed point results for four mappings satisfying almost generalized (S, T)-contractive condition in partially ordered metric space. An example is given to support the usability of our results. 相似文献
2.
Piao Yong-jie 《数学研究通讯:英文版》2018,(1):77-88
In this paper, we give existence theorems of common fixed points for two mappings with a weakly C?-contractive condition on partially ordered 2-metric spaces and give a sufficient condition under which there exists a unique common fixed point. 相似文献
3.
The main purpose of this paper is to prove a collection of new fixed point theorems for so-called weakly F-contractive mappings. By analogy, we introduce also a class of strongly F-expansive mappings and we prove fixed point theorems for such mappings. We provide a few examples, which illustrate these results and, as an application, we prove an existence and uniqueness theorem for the generalized Fredholm integral equation of the second kind. Finally, in Appendix A, we apply the Mönch fixed point theorem to prove two results on the existence of approximate fixed points of some continuous mappings. 相似文献
4.
In this paper, we introduce the concept of a mixed g-monotone mapping and prove coupled coincidence and coupled common fixed point theorems under ?-contractive conditions for self-maps in partially ordered complete probabilistic metric spaces. 相似文献
5.
在完备的度量空间上利用满足具有某种变系数的收缩条件或φ-收缩条件的两个集值映射构造了一个收敛序列,然后证明了该序列的唯一极限就是两个映射的公共不动点并给出了映射族存在唯一公共不动点的充分条件,同时给出了几个特殊结果.所得结果推广和改进了一些已有的结论. 相似文献
6.
Raul Antonio Ferraz 《代数通讯》2013,41(9):3191-3199
Let G be a finite group, F a field, FG the group ring of G over F, and J(FG) the Jacobson radical of FG. Using a result of Berman and Witt, we give a method to determine the structure of the center of FG/J(FG), provided that F satisfies a field theoretical condition. 相似文献
7.
D. Caponetti A. Trombetta G. Trombetta 《Numerical Functional Analysis & Optimization》2013,34(9-10):979-986
We present a theorem about calculation of fixed point index for k-ψ-contractive operators with 0 ≤ k < 1 defined on a radial set of a wedge of an infinite-dimensional Banach space. Then, results on the existence of eigenvectors and nonzero fixed points are obtained. 相似文献
8.
在G-度量空间的框架下,利用自映象对的非相容性和(Ag)型R-弱交换性条件,在既不要求空间的完备性,也不要求映象连续的条件下,建立了一类?-压缩条件下的4个映象的几个新的公共不动点定理,此定理在很大程度上改进和发展了已有文献的相关结果. 相似文献
9.
Functional impulsive differential equation of order α∈(1,2) with nonlocal initial and integral boundary conditions 下载免费PDF全文
The main work is related to show the existence and uniqueness of solution for the fractional impulsive differential equation of order α∈(1,2) with an integral boundary condition and finite delay. Using the application of the Banach and Sadovaskii fixed‐point theorems, we obtain the main results. An example is presented at the end to verify the results of the paper. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
10.
K.Q. Lan 《Journal of Differential Equations》2009,246(3):909-530
A variational inequality theory for demicontinuous S-contractive maps in Hilbert spaces is established by employing the ideas of Granas' topological transversality. Such a variational inequality theory has many properties similar to those of fixed point theory for demicontinuous weakly inward S-contractive maps and to those of fixed point index for condensing maps. The variational inequality theory will be applied to study the existence of positive weak solutions and eigenvalue problems for semilinear second-order elliptic inequalities with nonlinearities which satisfy suitable lower bound conditions involving the critical Sobolev exponent. There has been little discussion for such elliptic inequalities involving the critical Sobolev exponent in the literature. 相似文献
11.
AbstractIn many cases, the existence and uniqueness of the solution of a differential equation are proved using fixed point theory. In this paper, we utilize the theory of operators and ingenious techniques to investigate the well-posedness of mild solution to semilinear fractional stochastic differential equations. We first discuss some properties of a class of Volterra integral operators and then establish a new generalized Gronwall integral inequality with a double singularity. Finally, we use the properties and integral inequality to study the well-posedness of mild solution to the semilinear fractional stochastic differential equations. One sees that it is concise and effectiveness using the previous results to investigate the well-posedness of the mild solution. 相似文献
12.
13.
Let FG be the group algebra of a group G over a field F and let * denote the canonical involution of FG induced by the map g→g
−1
,gG. Let Un(FG)={uFG|uu
*
=1} be the group of unitary units of FG. In case char F=0, we classify the torsion groups G for which Un(FG) satisfies a group identity not vanishing on 2-elements. Along the way we actually prove that, in characteristic 0, the unitary
group Un(FG) does not contain a free group of rank 2 if FG
−
, the Lie algebra of skew elements of FG, is Lie nilpotent. Motivated by this connection we characterize most groups G for which FG
−
is Lie nilpotent and char F≠2.
Received: 15 July 2002 / Revised version: 28 December 2002
Published online: 24 April 2003
Research partially supported by MURST (Italy) and FAPESP and CNPq (Brazil).
Mathematics Subject Classification (2000): Primary 16U60; Secondary 16W10, 20C07 相似文献
14.
Wutiphol Sintunavarat Adrian Petru?el Poom Kumam 《Rendiconti del Circolo Matematico di Palermo》2012,61(3):361-383
In this paper, we show that the mixed $g$ -monotone property in coupled coincidence point theorems can be replaced by generalized property. Hence, these results can be applied in a much wider class of problems. We also study the condition for the uniqueness of a common coupled fixed point and give some example of nonlinear contraction mappings where the existence of the common coupled fixed point cannot be obtained by the mixed monotone property, but it follows by our results. At the end of this paper, we give an open problems for further investigation. 相似文献
15.
Combining some branches is a typical activity in different fields of science, especially in mathematics. Naturally, it is notable in fixed point theory. Over the past few decades, there have been a lot of activity in fixed point theory and another branches in mathematics such differential equations, geometry and algebraic topology. In 2006, Espinola and Kirk made a useful contribution on combining fixed point theory and graph theory. Recently, Reich and Zaslavski studied a new inexact iterative scheme for fixed points of contractive and nonexpansive multifunctions. In this paper, by using main idea of their work and the idea of combining fixed point theory and graph theory, we present some iterative scheme results for G-contractive and G-nonexpansive mappings on graphs. 相似文献
16.
In this paper, we prove the existence, uniqueness and the stability of solutions for some nonlinear functional-integral equations by using generalized Lipschitz condition. We prove a fixed point theorem to obtain the mentioned aims in Banach space X:= C([a, b],R). As application we study some Volterra integral equations with linear, nonlinear and singular kernel. 相似文献
17.
Gregory T. Lee 《代数通讯》2013,41(2):867-881
Let FGbe the group ring of a group Gover a field Fwhose characteristic is p≠ 2 Let ? denote the involution on FGwhich sends each group element to its inverse. Let (FG)+and (FG)–denote, respectively, the sets of symmetric and skew elements with respect to ?.The conditions under which the group ring is Lie n-Engel for some nare known.We show that if either (FG)+or (FG)–- is Lie n-Engel, and Gis devoid of 2-elements, then FGis Lie m-Engel for some m. Furthermore, we completely classify the remaining groups for which (FG)+is Lie n-Engel. 相似文献
18.
The concept of (α,ψ)‐contractions was introduced by Samet et al. in this paper, we introduce (α,ψ)‐generalized contractions in a Hausdorff partial metric space. We discuss its significance and obtain some common fixed point theorems for a pair of self‐mappings. Some examples are given to support the theory. 相似文献
19.
Dragan ori 《Applied Mathematics Letters》2009,22(12):1896-1900
In this paper we introduce the class of generalized (ψ,φ)-weak contractive mappings. We establish that these mappings necessarily have a unique common fixed point in complete metric spaces. This result generalizes an existing result in metric spaces. 相似文献
20.
《Mathematical Methods in the Applied Sciences》2018,41(8):3197-3212
In this paper, the existence and multiplicity of nontrivial solutions are obtained for nonlinear fractional differential systems with p‐Laplacian by combining the properties of fractional calculus with critical point theory. Firstly, we present a result that a class of p‐Laplacian fractional differential systems exists infinitely many solutions under the famous Ambrosetti‐Rabinowitz condition. Then, a criterion is given to guarantee that the fractional systems exist at least 1 nontrivial solution without satisfying Ambrosetti‐Rabinowitz condition. Our results generalize some existing results in the literature. 相似文献