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Carpathian Journal of Mathematics最新文献

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"C´iric´ type cyclic contractions and their best cyclic periodic points" C ' iric '型循环收缩及其最佳循环周期点
IF 1.4 4区 数学
Carpathian Journal of Mathematics Pub Date : 2022-02-28 DOI: 10.37193/cjm.2022.02.04
M. Aslantaş, H. Sahin, I. Altun
{"title":"\"C´iric´ type cyclic contractions and their best cyclic periodic points\"","authors":"M. Aslantaş, H. Sahin, I. Altun","doi":"10.37193/cjm.2022.02.04","DOIUrl":"https://doi.org/10.37193/cjm.2022.02.04","url":null,"abstract":"\"In the present paper, by introducing a new notion named as nonunique cyclic contractions, we give some best proximity point results for such mappings. Then, we indicate the shortcoming of the concept of best periodic proximity point which is defined for cyclic mapping by giving a simple example. To overcome this deficiency, we give a more suitable definition named as best cyclic periodic point. Finally, we obtain some best cyclic periodic point theorems, including the famous periodic point result of C´ iric´ [C´ iric´, L. B. On some maps with a nonunique fixed point. Institut Mathe´matique 17 (1974), 52–58.], for nonunique cyclic contractions. We also provide some illustrative and comparative examples to support our results.\"","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49156980","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
"On the real projections of zeros of analytic almost periodic functions" 关于解析概周期函数零点的实投影
IF 1.4 4区 数学
Carpathian Journal of Mathematics Pub Date : 2022-02-28 DOI: 10.37193/cjm.2022.02.18
J. M. Sepulcre, T. Vidal
{"title":"\"On the real projections of zeros of analytic almost periodic functions\"","authors":"J. M. Sepulcre, T. Vidal","doi":"10.37193/cjm.2022.02.18","DOIUrl":"https://doi.org/10.37193/cjm.2022.02.18","url":null,"abstract":"\"This paper deals with the sets of real projections of zeros of analytic almost periodic functions defined in a vertical strip. By using our equivalence relation introduced in the context of the complex functions which can be represented by a Dirichlet-like series, this work provides practical results in order to determine whether a real number belongs to the closure of such a set. Its main result shows that, in the case that the Fourier exponents of an analytic almost periodic function are linearly independent over the rational numbers, such a set has no isolated points.\"","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44860023","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
"Some sequences of Euler type, their convergences and their stability" 若干欧拉型序列及其收敛性和稳定性
IF 1.4 4区 数学
Carpathian Journal of Mathematics Pub Date : 2022-02-28 DOI: 10.37193/cjm.2022.02.16
D. Marinescu, M. Monea
{"title":"\"Some sequences of Euler type, their convergences and their stability\"","authors":"D. Marinescu, M. Monea","doi":"10.37193/cjm.2022.02.16","DOIUrl":"https://doi.org/10.37193/cjm.2022.02.16","url":null,"abstract":"\"The aim of this paper is to present some sequences of Euler type. We will explore the sequences $left( F_{n}right) _{ngeq 1},$ defined by $% F_{n}left( xright) =sum_{k=1}^{n}fleft( kright) -int_{1}^{n+x}fleft( tright) dt,$ for any $ngeq 1$ and $xin left[ 0,1right] ,$ where $f$ is a local integrable and positive function defined on $left[ 1,infty right) $. Starting from some particular example we will find that this sequence is uniformly convergent to a constant function. Also, we present a stability result.\"","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44638627","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
"An accelerated Visco-Cesaro means Tseng Type splitting method for fixed point and monotone inclusion problems" “不动点和单调包含问题的加速Visco-Cesaro均值Tseng型分裂方法”
IF 1.4 4区 数学
Carpathian Journal of Mathematics Pub Date : 2022-02-28 DOI: 10.37193/cjm.2022.02.02
Yasir Arfat, P. Kumam, M. A. A. Khan, Parinya Sa Ngiamsunthorn
{"title":"\"An accelerated Visco-Cesaro means Tseng Type splitting method for fixed point and monotone inclusion problems\"","authors":"Yasir Arfat, P. Kumam, M. A. A. Khan, Parinya Sa Ngiamsunthorn","doi":"10.37193/cjm.2022.02.02","DOIUrl":"https://doi.org/10.37193/cjm.2022.02.02","url":null,"abstract":"\"In this paper, we study a variant of Tseng’s splitting method for monotone inclusion problem and fixed point problem associated with a finite family of η-demimetric mappings in Hilbert spaces. The proposed algorithm is based on the combination of classical Tseng’s method together with the viscosity Ces´aro means method and the Nesterov’s acceleration method. The proposed iterative method exhibits accelerated strong convergence characteristics under suitable set of control conditions in such framework. Finally, we provide a numerical example to illustrate the applicability of the proposed algorithm as well as some useful abstract applications.\"","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41339471","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
"On instability in the theory of dipolar bodies with two-temperatures" “关于具有两个温度的偶极体理论的不稳定性”
IF 1.4 4区 数学
Carpathian Journal of Mathematics Pub Date : 2022-02-28 DOI: 10.37193/cjm.2022.02.15
M. Marin, S. Vlase, I. Fudulu, G. Precup
{"title":"\"On instability in the theory of dipolar bodies with two-temperatures\"","authors":"M. Marin, S. Vlase, I. Fudulu, G. Precup","doi":"10.37193/cjm.2022.02.15","DOIUrl":"https://doi.org/10.37193/cjm.2022.02.15","url":null,"abstract":"\"In this paper we approach a generalized thermoelasticity theory based on a heat conduction equation in bodies with dipolar structure, the heat conduction depends on two distinct temperatures, the thermodynamic temperature and the conductive temperature. In our considerations the difference between two temperatures is highlighted by the heat supply. For the mixed initial boundary value problem defined in this context, we prove the uniqueness of a solution corresponding some specific initial and boundary conditions. Also, if the initial energy is negative or null, we prove that the solutions of the mixed problem are exponentially unstable.\"","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43068423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
About convex structures on metric spaces 关于度量空间上的凸结构
IF 1.4 4区 数学
Carpathian Journal of Mathematics Pub Date : 2022-02-28 DOI: 10.37193/cjm.2022.02.10
M. Choban
{"title":"About convex structures on metric spaces","authors":"M. Choban","doi":"10.37193/cjm.2022.02.10","DOIUrl":"https://doi.org/10.37193/cjm.2022.02.10","url":null,"abstract":"\"In the present paper we study the relationships between different concepts of convex structures in metric spaces that that are related to the works of K. Menger [Menger, K. Untersuchungen \"\"{u}ber allgemeine Metrik. {it Math. Ann.} {bf100} (1928), 75--163], H. Busemann [Busemann, H. {it The geometry of geodesics}, Academic Press, 1955], I. N. Herstein; J. Milnor [Herstein, I. N.; Milnor, J. An axiomatic approach to measurable utility. {it Econometrica} {bf21} (1953), 291--297], E. Michael [Michael, E. Convex structures and continuous selections. {it Canad. J. Math.} {bf11} (1959), 556--575], A. Nijenhuis [Nijenhuis, A. A note on hyperconvexity in Riemannian manifolds. {it Canad. J. Math.} {bf11} (1959), 576--582.], W. Takahashi; T. Shimizu [Shimizu, T.; Takahashi, W. Fixed points of multivalued mappings in certain metric spaces. {it Topol. Methods Nonlinear Anal.} {bf8} (1996), no. 1, 197--203 and Takahashi, W. A convexity in metric space and nonexpansive mappings I. {it Kodai Math. Sem. Rep.} {bf 22} (1970), 142--149], M. Taskovi'{c} [Taskovi'{c}, M. General convex topological spaces and fixed points. {it Math. Moravica} {bf 1} (1997), 127--134], Yu. A. Aminov [Aminov, Yu. A. Two-Dimensional Surfaces in 3-Dimensional and 4-Dimensional Euclidean Spaces. Results and Unsolved Problems. {it Ukr. Math. J.} {bf 71} (2019), no. 1, 1--38.], H. V. Machado [Machado, H. V. A characterization of convex subsets of normed spaces.{it Kodai Math. Sem. Rep.} {bf25} (1973), 307--320], and many other papers. Some well known examples of concrete convex structures are reexamined and the possibilities of different embeddings of metric spaces with convex structures are also studied. Corollary ref{C5.1} states that the Bolyai-Lobachevskii plane and the Bolyai-Lobachevskii half-plane are not isometrically embedding in some strictly convex normed space. A characteristic of the invariant metric generated by a norm is presented (Proposition ref{P4.1}). \"","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42980286","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
"The penalty method for generalized mixed variational-hemivariational inequality problems" 广义混合变分-半变分不等式问题的惩罚方法
IF 1.4 4区 数学
Carpathian Journal of Mathematics Pub Date : 2022-02-28 DOI: 10.37193/cjm.2022.02.08
Shih-sen Chang, Salahuddin, A. Ahmadini, L. xilinx Wang, G. Wang
{"title":"\"The penalty method for generalized mixed variational-hemivariational inequality problems\"","authors":"Shih-sen Chang, Salahuddin, A. Ahmadini, L. xilinx Wang, G. Wang","doi":"10.37193/cjm.2022.02.08","DOIUrl":"https://doi.org/10.37193/cjm.2022.02.08","url":null,"abstract":"\"It is well known that many popular variational, quasi-variational, hemivariational inequalities and variational inclusions involving constraints in a Banach space to convert a fixed point problems for finding the solution of such problems. This paper is to infuse a sequence of penalized problems without constraints and we show under the few reasonable assumptions to the Kuratowski upper limit with respect to the weak topology of the sets of solutions to penalized problems is nonempty. As an application, we explore two complicated partial differential systems of elliptic mixed boundary value problem involving a nonlinear nonhomogeneous differential operator with an obstacle effect, and a nonlinear elastic contact problem in mechanics with unilateral constraints.\"","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41424788","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
"Common endpoints of generalized Suzuki-Kannan-C´ iric´ type mappings in hyperbolic spaces" 双曲空间中广义Suzuki-Kannan-C ' iric '型映射的公共端点
IF 1.4 4区 数学
Carpathian Journal of Mathematics Pub Date : 2022-02-28 DOI: 10.37193/cjm.2022.02.14
T. Laokul, B. Panyanak, N. Phudolsitthiphat, S. Suantai
{"title":"\"Common endpoints of generalized Suzuki-Kannan-C´ iric´ type mappings in hyperbolic spaces\"","authors":"T. Laokul, B. Panyanak, N. Phudolsitthiphat, S. Suantai","doi":"10.37193/cjm.2022.02.14","DOIUrl":"https://doi.org/10.37193/cjm.2022.02.14","url":null,"abstract":"\"In this paper, we introduce the concept of generalized Suzuki-Kannan-C´ iric´ type mappings in metric spaces and show that it is weaker than the concept of Suzuki-Kannan-C´ iric´ type mappings but stronger than the concept of semi-nonexpansive mappings. Moreover, we obtain the semiclosed principle and endpoint theorems for the class of generalized Suzuki-Kannan-C´ iric´ type mappings. The strong and Δ−convergence theorems of the Kuhfitting iteration for this class of mappings are also discussed.\"","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47286374","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
"On the crossing number of the join of the wheel on six vertices with a path" "在有路径的六个顶点的轮子连接处的交叉数上"
IF 1.4 4区 数学
Carpathian Journal of Mathematics Pub Date : 2022-02-28 DOI: 10.37193/cjm.2022.02.06
"ŠTEFAN ŠTEFAN" Berežný, M. Staš
{"title":"\"On the crossing number of the join of the wheel on six vertices with a path\"","authors":"\"ŠTEFAN ŠTEFAN\" Berežný, M. Staš","doi":"10.37193/cjm.2022.02.06","DOIUrl":"https://doi.org/10.37193/cjm.2022.02.06","url":null,"abstract":"The crossing number $mathrm{cr}(G)$ of a graph $G$ is the minimum number of edge crossings over all drawings of $G$ in the plane. The main aim of the paper is to give the crossing number of join product $W_5+P_n$ for the wheel $W_5$ on six vertices, where $P_n$ is the path on $n$ vertices. Stav s and Valiska conjectured that the crossing number of $W_m+P_n$ is equal to $Z(m+1)Z(n) + (Z(m)-1) big lfloor frac{n}{2} big rfloor + n +1$, for all $mgeq 3$, $ngeq 2$, where Zarankiewicz's number is defined as $Z(n)=big lfloor frac{n}{2} big rfloor big lfloor frac{n-1}{2} big rfloor $ for $ngeq 1$. Recently, this conjecture was proved for $W_3+P_n$ by Klev sv c and Schr\"otter, and for $W_4+P_n$ by Stav s and Valiska. We establish the validity of this conjecture for $W_5+P_n$. The conjecture also holds due to some isomorphisms for $W_m+P_2$, $W_m+P_3$ by Klev sv c, and for $W_m+P_4$ by Stav s for all $mgeq 3$.","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41584348","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Analysis of a nonlinear financial model 非线性财务模型的分析
IF 1.4 4区 数学
Carpathian Journal of Mathematics Pub Date : 2022-02-28 DOI: 10.37193/cjm.2022.02.17
G. Moza, E. Grecu, L. Tirtirau
{"title":"Analysis of a nonlinear financial model","authors":"G. Moza, E. Grecu, L. Tirtirau","doi":"10.37193/cjm.2022.02.17","DOIUrl":"https://doi.org/10.37193/cjm.2022.02.17","url":null,"abstract":"\"A three-dimensional nonlinear differential system for modeling inflation rate in a given economy is proposed and investigated in this article. Using a bifurcation-based method in the study, we describe the conditions leading to regions of stability for the long-term behavior of the model, which are economically desirable, along with regions of instability, which should be avoided in an economy.\"","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48232357","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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