Communications in Mathematics and Applications
https://www.rgnpublications.com/journals/index.php/cma
<p><span>The journal “<strong>Communications in Mathematics and Applications”</strong></span><span> (CMA) is being regularly published since 2010. </span><span>The “</span><strong>Communications in Mathematics and Applications</strong><span>” is an international journal devoted to the publication of original and high-quality research of pure mathematics.</span></p><p><strong>Subjects covered by <strong>Communications in Mathematics and Applications</strong>: </strong></p><ul><li><strong>Algebra <br /></strong></li><li><strong>Algebraic Geometry <br /></strong></li><li><strong>Analysis <br /></strong></li><li><strong>Category Theory <br /></strong></li><li><strong>Graph Theory <br /></strong></li><li><strong>Mathematical Logic & Foundations <br /></strong></li><li><strong>Number Theory <br /></strong></li><li><strong>Philosophy of Mathematics <br /></strong></li><li><strong>Topology</strong></li></ul><p>To ensure speedy publication, only articles which are sufficiently well presented, containing significant results and not required major revisions will be considered. The papers are accepted only after peer review.</p><p>Editorial decisions on acceptance or otherwise are taken within 4 to 8 weeks (two months) of receipt of the paper.</p><p>The journal will also publish survey articles giving details of research progress made during the last three decades in a particular area.</p><p><img src="/journals/icons/cma/icore.jpg" alt="" /></p>RGN Publicationsen-USCommunications in Mathematics and Applications0976-5905Authors who publish with this journal agree to the following terms:<br /><ul><li>Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.</li><li>Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.</li><li>Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.</li></ul>Common Fixed Point Theorems of Quadruple Mappings Satisfying \(CLR\) Property in \(G_p\) Metric Spaces With Applications
https://www.rgnpublications.com/journals/index.php/cma/article/view/1402
<p>The aim of this paper is to establish common fixed point theorems for quadruple of weakly compatible mappings satisfying a new type of common limit range property and involving almost altering distances in \(G_p\) metric space. Furthermore, we present an example to validate our main result. Further, we obtain some common fixed point theorems for mappings satisfying contractive conditions of integral type and for \(\varphi\)-contractive mappings.</p>Rakesh TiwariS. K. SrivastavaShashi Thakur2020-09-302020-09-3011Closed Forms of General Solutions for Rectangular Systems of Coupled Generalized Sylvester Matrix Differential Equations
https://www.rgnpublications.com/journals/index.php/cma/article/view/1324
<p>We investigate a rectangular system of coupled generalized Sylvester matrix differential equations in both nonhomogeneous and homogeneous cases. In order to obtain a closed form of its general solution, we transform it to an equivalent vector differential equation. This is done by using the vector operator and the Kronecker product. An explicit form of its general solution is given in terms of matrix series concerning Mittag-Leffler functions, exponentials, and hyperbolic functions. The main system includes certain systems of coupled matrix/vector differential equations, and single matrix differential equations as special cases.</p>Pattrawut Chansangiam2020-09-302020-09-3011Existence and Uniqueness of Solution of Summation-Difference Equation of Finite Delay in Cone Metric Space
https://www.rgnpublications.com/journals/index.php/cma/article/view/1395
<p>In this research article, we study the existence and uniqueness of solution of Summation-Difference equation of finite delay with nonlocal condition in cone metric space. The result is obtained by using the some extensions of Banach’s contraction principle in complete cone metric space and also provide example to demonstrate of main result.</p>G. C. DoneK. L. BondarP. U. Chopade2020-09-302020-09-3011Cyclic Averages of Regular Polygons and Platonic Solids
https://www.rgnpublications.com/journals/index.php/cma/article/view/1420
<p>The concept of the cyclic averages are introduced for a regular polygon \(P_n\) and a Platonic solid \(T_n\). It is shown that cyclic averages of equal powers are the same for various \(P_n(T_n)\), but their number is characteristic of \(P_n(T_n)\). Given the definition of a circle (sphere) by the vertices of \(P_n(T_n)\) and on the base of the cyclic averages are established the common metrical relations of \(P_n(T_n)\).</p>Mamuka Meskhishvili2020-09-302020-09-3011Coincidence Point and Common Fixed Point Results in Cone Metric Spaces Under \(c\)-Distance
https://www.rgnpublications.com/journals/index.php/cma/article/view/1355
<p>In this paper, by using the concept of \(c\)-distance in a cone metric space, we prove some coincidence point and common fixed point results with different type of contractive condition. Our results, extend, generalize and improve the corresponding results of Fadail <em>et al</em>. [17-20].</p>Anil Kumar DubeyMadhubala KasarR. P. Dubey2020-09-302020-09-3011Common Fixed Points for Hybrid Pair of Maps with CLR-Property in Convex Metric Space
https://www.rgnpublications.com/journals/index.php/cma/article/view/1318
<p>In present work, we prove common fixed point theorem and best proximity point theorem for two pairs of hybrid mappings in convex metric space satisfying \((\psi-\phi)\)-contractive conditions under <em>common limit range property</em> with respect to \(q\). We prove both theorems for two pairs of hybrid mappings which can be utilized to derive common fixed point and best proximity point theorem including any number of finite mappings. We also present an example to support our main result.</p>Kusum DhingraSavita Rathee2020-09-302020-09-3011On the Solution of the Delay Differential Equation via Laplace Transform
https://www.rgnpublications.com/journals/index.php/cma/article/view/1359
<p>In this paper, we consider the initial-value problem for a linear second order delay differential equation. We use Laplace transform method for solving this problem. Furthermore, we present examples provided support the theoretical results.</p>Erkan CimenSevket Uncu2020-09-302020-09-3011Strong and \(\Delta\)-Convergence Results for Generalized Nonexpansive Mapping in Hyperbolic Space
https://www.rgnpublications.com/journals/index.php/cma/article/view/1357
<p>In this paper, we propose a new iteration process which is faster than Picard Normal S-iteration process, Normal S-iteration process, Mann iteration process and Picard iteration process in hyperbolic space for generalized nonexpansive mapping. We also present strong and \(\Delta\)-convergence results for proposed iteration process. An illustrative example with different set of parameters is also given in this paper.</p>Samir DashputreC. PadmavatiKavita Sakure2020-09-302020-09-3011Some Results on Strong Edge Geodetic Problem in Graphs
https://www.rgnpublications.com/journals/index.php/cma/article/view/1385
<p>For a graph \(G(V(G),E(G))\), the problem to find a \(S\subseteq V(G)\) where every edge of the graph \(G\) is covered by a unique fixed geodesic between the pair of vertices in \(S\) is called the strong edge geodetic problem and the cardinality of the smallest such \(S\) is the strong edge geodetic number of \(G\). In this paper the strong edge geodetic problem for product graphs are studied and also some results for general graphs are derived.</p>D. Antony XavierDeepa MathewSantiagu TheresalEddith Sarah Varghese2020-09-302020-09-3011Balanced Shifts
https://www.rgnpublications.com/journals/index.php/cma/article/view/883
<p>The notion of the balanced generator of the Dyke system (or Dyck system) has been extended to a general subshift called <em>balanced shift</em> and it has been shown that they are essentially mixing. All balanced shifts are half synchronized and full shifts are the only balanced and synchronized subshifts. Also, a formula for the Gurevic entropy of a balanced shift has been given.</p>Dawoud Ahmadi DastjerdiM. Shahamat2020-09-302020-09-3011Fixed Point Theorems in Soft Multiplicative Metric Space
https://www.rgnpublications.com/journals/index.php/cma/article/view/1316
<p>In this article, we first define the concept of soft multiplicative metric space and then establish its relation with soft metric and multiplicative metric space. This new approach enables us to obtain some fixed point results. We also provide some examples to verify and illustrate our results.</p>Savita RatheeRidam GirdharKusum Dhingra2020-09-302020-09-3011On Solving Minimization Problem and Common Fixed Point Problem Over Geodesic Spaces With Curvature Bounded Above
https://www.rgnpublications.com/journals/index.php/cma/article/view/1404
In this paper, we introduce a new modified proximal point algorithm for solving minimization problems and common fixed point problem in CAT\((1)\) spaces. We prove strong and \(\Delta\)-convergence theorems under some mild conditions. Further, an application on convex minimization and common fixed point problem over CAT\((\kappa)\) spaces with the bounded positive real number \(\kappa\) are presented.\ Our results extend and improve the corresponding recent results in the literature.Nopparat WairojjanaPhachara Saipara2020-09-302020-09-3011About Riemann’s Zeta-Function and Applications
https://www.rgnpublications.com/journals/index.php/cma/article/view/1399
<p>In this paper we give some remarks on the Riemann’s zeta-function related to theoretic arithmetic functions and some applications.</p>N. Daili2020-09-302020-09-3011Homomorphism between Rings
https://www.rgnpublications.com/journals/index.php/cma/article/view/1415
<p>In this paper, using elementary algebra and analysis, we characterize and compute all ring homomorphism from \(\mathbb{Z}^n\) to \(\mathbb{Z}^m\) and from \(\mathbb{Q}^n\) to \(\mathbb{Q}^m\). Also, we characterize and compute all continuous ring homomorphism from \(\mathbb{R}^n\) to \(\mathbb{R}\).</p>Vinod S.Biju G. S.Minikumari N. S.2020-09-302020-09-3011Numerical Solution of Boundary Layer Problem Using Second Order Variable Mesh Method
https://www.rgnpublications.com/journals/index.php/cma/article/view/1350
<p>In this paper, a second-order finite difference method on non-uniform grid is proposed for the solution of singularly perturbed boundary value problems. Replace the derivatives of the problem with highorder finite differences on a non-uniform grid to get a discrete equation. This equation can be effectively solved by tridiagonal method. This method performs convergence analysis and the method produces second-order consistent convergence. The numerical experiments are used to illustrate the method. The absolute error has been proposed to compare with other methods in the literature to prove the rationality of the method.</p>D. SwarnakarB. S. L. Soujanya G.2020-09-302020-09-3011Intuitionistic Fuzzy Soft Near Rings Induced by \((T,S)\)-norms
https://www.rgnpublications.com/journals/index.php/cma/article/view/1383
<p>In this work, we combine the near ring concept and intuitionistic fuzzy soft set. By using \(t\)-norm and \(t\)-conorm we define intuitionistic fuzzy soft near ring over a given classical near ring and study its characteristic properties.</p>Banu Pazar VarolHalis Aygün2020-09-302020-09-3011