期刊文献+
共找到3,007篇文章
< 1 2 151 >
每页显示 20 50 100
A fixed point theorem for Proinov mappings with a contractive iterate
1
作者 Erdal Karapnar Andreea Fulga 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2023年第3期403-412,共10页
In this paper,we consider the fixed point theorem for Proinov mappings with a contractive iterate at a point.In other words,we combine and unify the basic approaches of Proinov and Sehgal in the framework of the compl... In this paper,we consider the fixed point theorem for Proinov mappings with a contractive iterate at a point.In other words,we combine and unify the basic approaches of Proinov and Sehgal in the framework of the complete metric spaces.We consider examples to illustrate the validity of the obtained result. 展开更多
关键词 contractive iterate at a point Proinov mappings fixed point theorems
下载PDF
A Proof of Brouwer’s Fixed Point Theorem Using Sperner’s Lemma
2
作者 Cassie Lu 《数学计算(中英文版)》 2023年第2期1-6,共6页
This article offers a simple but rigorous proof of Brouwer’s fixed point theorem using Sperner’s Lemma.The general method I have used so far in the proof is mainly to convert the n-dimensional shapes to the correspo... This article offers a simple but rigorous proof of Brouwer’s fixed point theorem using Sperner’s Lemma.The general method I have used so far in the proof is mainly to convert the n-dimensional shapes to the corresponding case under the Sperner’s Labeling and apply the Sperner’s Lemma to solve the question. 展开更多
关键词 Brouwer’s fixed point theorem Sperner’s Lemma PROOF
下载PDF
A Generalization of Caristi Fixed Point Theorem 被引量:5
3
作者 孙经先 《Chinese Quarterly Journal of Mathematics》 CSCD 1992年第1期72-75,共4页
Let X be a metric space with an ordering structure,A: X→X is a operator and x≤Ax for any x∈X. In this paper we prove a new fixed point theorem, which generalizes famous caristi fixed point theorem.
关键词 metric space partially ordred set fixed point theorem
下载PDF
AN EXISTENCE THEOREM OF POSITIVE SOLUTIONS FOR ELASTIC BEAM EQUATION WITH BOTH FIXED END-POINTS 被引量:12
4
作者 Jiang Xiufen Yao Qingliuof Math., Northwest Normal Univ., Lanzhou 730070. 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2001年第3期237-240,共4页
By using the degree theory on cone an existence theorem of positive solution for a class of fourth-order two-point BVP's is obtained. This class of BVP's usually describes the deformation of the elastic beam w... By using the degree theory on cone an existence theorem of positive solution for a class of fourth-order two-point BVP's is obtained. This class of BVP's usually describes the deformation of the elastic beam with both fixed end-points. 展开更多
关键词 Elastic beam equation positive solution EXISTENCE fixed point theorem on cone.
下载PDF
ON A FIXED POINT THEOREM IN 2-BANACH SPACES AND SOME OF ITS APPLICATIONS 被引量:5
5
作者 Janusz BRZDEK Krzysztof CIEPLINSKI 《Acta Mathematica Scientia》 SCIE CSCD 2018年第2期377-390,共14页
The aim of this article is to prove a fixed point theorem in 2-Banach spaces and show its applications to the Ulam stability of functional equations. The obtained stability re- sults concern both some single variable ... The aim of this article is to prove a fixed point theorem in 2-Banach spaces and show its applications to the Ulam stability of functional equations. The obtained stability re- sults concern both some single variable equations and the most important functional equation in several variables, namely, the Cauchy equation. Moreover, a few corollaries corresponding to some known hyperstability outcomes are presented. 展开更多
关键词 fixed point theorem 2-normed space Ulam stability HYPERSTABILITY
下载PDF
SOME NEW EXTENSIONS OF EDELSTEIN-SUZUKI-TYPE FIXED POINT THEOREM TO G-METRIC AND G-CONE METRIC SPACES 被引量:3
6
作者 Fridoun MORADLOU Peyman SALIMI Pasquale VETRO 《Acta Mathematica Scientia》 SCIE CSCD 2013年第4期1049-1058,共10页
In this paper, we prove some fixed point theorems for generalized contractions in the setting of G-metric spaces. Our results extend a result of Edelstein [M. Edelstein, On fixed and periodic points under contractive ... In this paper, we prove some fixed point theorems for generalized contractions in the setting of G-metric spaces. Our results extend a result of Edelstein [M. Edelstein, On fixed and periodic points under contractive mappings, J. London Math. Soc., 37 (1962), 74-79] and a result of Suzuki [T. Suzuki, A new type of fixed point theorem in metric spaces, Nonlinear Anal., 71 (2009), 5313-5317]. We prove, also, a fixed point theorem in the setting of G-cone metric spaces. 展开更多
关键词 G-metric spaces G-cone metric spaces fixed point Edelstein's theorem Suzuki's theorem
下载PDF
FIXED POINT THEOREMS FOR MEIR-KEELER CONDENSING OPERATORS VIA MEASURE OF NONCOMPACTNESS 被引量:1
7
作者 A.AGHAJANI M.MURSALEEN A.SHOLE HAGHIGHI 《Acta Mathematica Scientia》 SCIE CSCD 2015年第3期552-566,共15页
In this article, we introduce the notion of Meir-Keleer condensing operator in a Banach space, a characterization using L-functions and provide a few generalization of Darbo fixed point theorem. Also, we introduce the... In this article, we introduce the notion of Meir-Keleer condensing operator in a Banach space, a characterization using L-functions and provide a few generalization of Darbo fixed point theorem. Also, we introduce the concept of a bivariate Meir-Keleer condensing operator and prove some coupled fixed point theorems. As an application, we prove the existence of solutions for a large class of functional integral equations of Volterra type in two variables. 展开更多
关键词 Measure of noncompactness Darbo fixed point theorem couple fixed point Meir-Keeler condensing operator Volterra integral equation
下载PDF
GENERALIZED MINIMAX INEQUALITIES AND FIXED POINT THEOREMS 被引量:1
8
作者 马意海 张福保 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1991年第5期493-500,共8页
Recently many authors have generalized the famous Ky Fan's minimax inequality. In this paper, we put forward T-diagonal convexity (concavity) conditions and develop the main results in this respect. Next, we discu... Recently many authors have generalized the famous Ky Fan's minimax inequality. In this paper, we put forward T-diagonal convexity (concavity) conditions and develop the main results in this respect. Next, we discuss some fixed point problems, and generalize the Fan-Glicksberg's fixed point theorem[14]. 展开更多
关键词 T-diagonal quasi-concave (-convex) minimax inequality fixed point theorem
下载PDF
FIXED POINT THEOREMS AND BEST APPROXIMATION IN CONVEX METRIC SPACES 被引量:2
9
作者 I.Beg N.Shahzad M.Iqbal 《Analysis in Theory and Applications》 1992年第4期97-105,共9页
Results regarding best approximation and best Simultaneous approximation on convex metric spaces are Obtained.Existence of fixed points for an ultimately nonexpansive semigroup of mappings is also shown.
关键词 CIG fixed point theoremS AND BEST APPROXIMATION IN CONVEX METRIC SPACES
下载PDF
More on Fixed Point Theorem of{a,b,c}-Generalized Nonexpansive Mappings in Normed Spaces 被引量:1
10
作者 Sahar Mohamed Ali 《Analysis in Theory and Applications》 2013年第1期1-11,共11页
Let X be a weakly Cauchy normed space in which the parallelogram law holds,C be a bounded closed convex subset of X with one contracting point and T be an{a,b,c}-generalized-nonexpansive mapping from C into C.We prove... Let X be a weakly Cauchy normed space in which the parallelogram law holds,C be a bounded closed convex subset of X with one contracting point and T be an{a,b,c}-generalized-nonexpansive mapping from C into C.We prove that the infimum of the set{‖x-T(x)‖}on C is zero,study some facts concerning the{a,b,c}-generalized-nonexpansive mapping and prove that the asymptotic center of any bounded sequence with respect to C is singleton.Depending on the fact that the{a,b,0}-generalized-nonexpansive mapping from C into C has fixed points,accord-ingly,another version of the Browder's strong convergence theorem for mappings is given. 展开更多
关键词 fixed point theorem {a b c}-generalized-nonexp ansive mapping asymptotic center Browder's strong convergence theorem.
下载PDF
Common Fixed Point Theorems of Single-valued and Set-valued Mappings in Complete,Convex Metric Spaces 被引量:1
11
作者 LIANGJun-qi ZHANGZhi-hong ZHAOLing 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第3期264-270,共7页
Under the conditions of compatility or sub -c ompatility between a sigle-valued mapping and set-valued mapping, this paper d iscusses the existence of common fixed points for two set-valued mappings and a single-value... Under the conditions of compatility or sub -c ompatility between a sigle-valued mapping and set-valued mapping, this paper d iscusses the existence of common fixed points for two set-valued mappings and a single-valued mapping in complete, convex matric spaces. We extend and develop the main results. 展开更多
关键词 complete convex metric spaces compatible mappings s ub-compatible mappings common fixed point theorems
下载PDF
CARISTI TYPE HYBRID FIXED POINT THEOREMS IN MENGERPROBABILISTIC METRIC SPACE
12
作者 石川 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1997年第2期201-209,共9页
This paper brings forward the concept of Caristi type hybrid fixed point in M-PM-space, by giving two hybrid fixed point theorems and two common hybrid fixed point theorems of sequences of set-valued mappings, the the... This paper brings forward the concept of Caristi type hybrid fixed point in M-PM-space, by giving two hybrid fixed point theorems and two common hybrid fixed point theorems of sequences of set-valued mappings, the theorems improve and generalize the Caristi's fixed point and correspond to recent important results. 展开更多
关键词 probabilistic metric space Menger space Caristi's fixed point theorem hybrid fixed point common hybrid fixed point
下载PDF
NEW COLLECTIVELY FIXED POINT THEOREMS AND APPLICATIONS IN G-CONVEX SPACES
13
作者 丁协平 Park Jong-yeoul 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2002年第11期1237-1249,共13页
By applying the technique of continuous partition of unity and Tychonoff's fixed point theorem,. some new collectively fixed point theorems for a family of set-valued, mappings defined on the product space of nonc... By applying the technique of continuous partition of unity and Tychonoff's fixed point theorem,. some new collectively fixed point theorems for a family of set-valued, mappings defined on the product space of noncompact G-convex spaces are proved. As applications, some nonempty intersetion theorems of Ky Fan type for a family of subsets of the product space of G convex spaces are proved; An existence theorem of solutions for a system of nonlinear inequalities is given in G-convex spaces and some equilibrium existence of abstract economies are also obtained in G convex spaces. Our theorems theorems of improve, unify and generalized many important known results in recent literature. 展开更多
关键词 collectively fixed point nonempty intersection theorem system of inequality abstruct economy generalized convex space
下载PDF
NEW FIXED POINT THEOREMS FOR P_1-COMPACT MAPPINGS IN BANACH SPACES
14
作者 Shaoyuan Xu 《Analysis in Theory and Applications》 2007年第3期274-282,共9页
E E. Browder and W. V. Petryshyn defined the topological degree for A- proper mappings and then W. V. Petryshyn studied a class of A-proper mappings, namely, P1-compact mappings and obtained a number of important fixe... E E. Browder and W. V. Petryshyn defined the topological degree for A- proper mappings and then W. V. Petryshyn studied a class of A-proper mappings, namely, P1-compact mappings and obtained a number of important fixed point theorems by virtue of the topological degree theory. In this paper, following W. V. Petryshyn, we continue to study P1-compact mappings and investigate the boundary condition, under which many new fixed point theorems of P1-compact mappings are obtained. On the other hand, this class of A-proper mappings with the boundedness property includes completely continuous operators and so, certain interesting new fixed point theorems for completely continuous operators are obtained immediately. As a result of it, our results generalize several famous theorems such as Leray-Schauder's theorem, Rothe's theorem, Altman's theorem, Petryshyn's theorem, etc. 展开更多
关键词 A-proper mapping P1-compact mapping completely continuous operator topological degree fixed point theorem
下载PDF
A GENERALIZATION OF BROWDER'S FIXED POINT THEOREM WITH APPLICATIONS
15
作者 张石生 张宪 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1999年第9期943-951,共9页
The purpose of this paper is to obtain a generalization of the famous Browder's fixed point theorem and some equivalent forms. As application, these results are utilized to study the existence problems of fixed po... The purpose of this paper is to obtain a generalization of the famous Browder's fixed point theorem and some equivalent forms. As application, these results are utilized to study the existence problems of fixed points and nearest points. 展开更多
关键词 transfer open(closed)mapping Browder's fixed point theorem transfer upper (lower) semi_continuous function
下载PDF
Common Fixed Point Theorem in Intuitionistic Fuzzy Metric Space Using <i>R</i>-Weakly Commuting Mappings
16
作者 Saurabh Manro Satwinder Singh Bhatia Sanjay Kumar 《Applied Mathematics》 2012年第3期225-230,共6页
In this paper, we prove a common fixed point theorem in Intuitionistic fuzzy metric space by using pointwise R-weak commutativity and reciprocal continuity of mappings satisfying contractive conditions.
关键词 Intuitionistic Fuzzy Metric Space Reciprocal Continuity R-Weakly COMMUTING Mappings Common fixed point theorem
下载PDF
ON NEW APPROXIMATIONS FOR GENERALIZED CAUCHY FUNCTIONAL EQUATIONS USING BRZDȨK AND CIEPLIŃSKI'S FIXED POINT THEOREMS IN 2-BANACH SPACES
17
作者 Laddawan AIEMSOMBOON Wutiphol SINTUNAVARAT 《Acta Mathematica Scientia》 SCIE CSCD 2020年第3期824-834,共11页
In this work,we apply the Brzdȩk and Ciepliński's fixed point theorem to investigate new stability results for the generalized Cauchy functional equation of the form f(ax+by)=af(x)+bf(y),where a,b∈N and f is a m... In this work,we apply the Brzdȩk and Ciepliński's fixed point theorem to investigate new stability results for the generalized Cauchy functional equation of the form f(ax+by)=af(x)+bf(y),where a,b∈N and f is a mapping from a commutative group(G,+)to a 2-Banach space(Y,||·,·||).Our results are generalizations of main results of Brzdȩk and Ciepliński[J Brzdȩk,K Ciepliński.On a fixed point theorem in 2-normed spaces and some of its applications.Acta Mathematica Scientia,2018,38B(2):377-390]. 展开更多
关键词 fixed point theorem generalized Cauchy functional equation 2-normed space stability
下载PDF
Fixed Point Theorem and Fractional Differential Equations with Multiple Delays Related with Chaos Neuron Models
18
作者 Toshiharu Kawasaki Masashi Toyoda 《Applied Mathematics》 2015年第13期2192-2198,共7页
In this paper, we show a fixed point theorem which deduces to both of Lou’s fixed point theorem and de Pascale and de Pascale’s fixed point theorem. Moreover, our result can be applied to show the existence and uniq... In this paper, we show a fixed point theorem which deduces to both of Lou’s fixed point theorem and de Pascale and de Pascale’s fixed point theorem. Moreover, our result can be applied to show the existence and uniqueness of solutions for fractional differential equations with multiple delays. Using the theorem, we discuss the fractional chaos neuron model. 展开更多
关键词 fixed point theorem Ordinary DIFFERENTIAL EQUATION Delay DIFFERENTIAL EQUATION FRACTIONAL DIFFERENTIAL EQUATION FRACTIONAL CHAOS NEURON Model
下载PDF
AN APPLICATION OF SCHAUDER’S FIXED POINT THEOREM TO THE EXISTENCE OF SOLUTlONS OF IMPULSIVELY DIFFERENTIAL EQUATIONS
19
作者 董玉君 邹尔新 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1995年第4期377-381,共5页
In this paper the existence of solutions of a boundary value problem forimpulsively differential equations that is difficult to solve by the upper and lowersolution method will be proved by means of Schauder’s fixed ... In this paper the existence of solutions of a boundary value problem forimpulsively differential equations that is difficult to solve by the upper and lowersolution method will be proved by means of Schauder’s fixed point theorem,whichimproves some existing results. 展开更多
关键词 Schaudcr’s fixed point theorem boundary value problem existence of solutions
下载PDF
SET-VALUED CARISTI’S FIXED POINT THEOREM AND EEELAND’S VARIATIONAL PRINCIPLE
20
作者 张石生 罗群 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1989年第2期119-121,共3页
This paper proposes a formally stronger set-valued Caristi’s fixed point theorem and by using a simple method we give a direct proof for the equivalence between Ekeland’s variational principle and this set-valued Ca... This paper proposes a formally stronger set-valued Caristi’s fixed point theorem and by using a simple method we give a direct proof for the equivalence between Ekeland’s variational principle and this set-valued Caristi’s fixed point theorem.The results stated in this paper improve and strengthen the corresponding results in[4]. 展开更多
关键词 S fixed point theorem AND EEELAND S VARIATIONAL PRINCIPLE SET-VALUED CARISTI
下载PDF
上一页 1 2 151 下一页 到第
使用帮助 返回顶部