http://www.rgnpublications.com/journals/index.php/cma/issue/feedCommunications in Mathematics and Applications2021-01-19T11:46:35+00:00Head, Editorial Sectioneditorial@rgnpublications.comOpen Journal SystemsAuthors 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><p style="line-height: 1.5;">The “<strong>Communications in Mathematics and Applications</strong>” (CMA) is an international journal devoted to the publication of original and high-quality research of <strong>Pure and Applied Mathematics</strong>. <span>The journal “Communications in Mathematics and Applications”</span><span> (CMA) is being regularly published since 2010.</span></p><p style="line-height: 1.5;">The<strong> "<strong>Communications in Mathematics and Applications"</strong></strong> covers the following subject fields (but not limited to):</p><table width="622" border="0" cellspacing="2" cellpadding="2"><tbody><tr><td valign="top"><span style="font-family: Helvetica, Arial, sans-serif;"><strong>Pure Mathematics</strong><br /> </span></td><td valign="top"><span style="font-family: Helvetica, Arial, sans-serif;"><strong>Applied Mathematics</strong><br /> </span></td></tr><tr><td valign="top"><ul><li><span style="font-family: Helvetica, Arial, sans-serif;">Algebra</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Algebraic Geometry</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Analysis</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Category Theory</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Graph Theory</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Mathematical Logic & Foundations</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Number Theory</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Philosophy of Mathematics</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Topology <br /> </span></li></ul></td><td valign="top"><ul><li><span style="font-family: Helvetica, Arial, sans-serif;">Information Theory</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Mathematical Physics </span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Numerical Analysis</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Operations Research</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Probability Theory</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Statistics</span></li></ul></td></tr></tbody></table><p style="line-height: 1.5;">To ensure speedy publication, only articles which are sufficiently well presented, containing significant results and not required major revisions will be considered. Articles are accepted only after peer review.</p><p style="line-height: 1.5;">Editorial decisions on the acceptance or otherwise are taken normally within 8 to 12 weeks (three months) of receipt of the article. <br />The journal is also publishing survey articles giving details of research progress made during the last three decades in a particular area.</p><p style="line-height: 0.25;"><img src="/journals/public/site/images/ganesh/hbar.png" alt="" width="6000" height="24" /></p>http://www.rgnpublications.com/journals/index.php/cma/article/view/1421An Accelerated Popov’s Subgradient Extragradient Method for Strongly Pseudomonotone Equilibrium Problems in a Real Hilbert Space With Applications2021-01-19T11:46:35+00:00Nopparat Wairojjananopparat@vru.ac.thHabib ur Rehmanhrehman.hed@gmail.comNuttapol Pakkaranangnuttapol.pakka@gmail.comChainarong Khanpanukiprove2000ck@gmail.com<p>In this paper, we introduce a subgradient extragradient method to find the numerical solution of strongly pseudomonotone equilibrium problems with the Lipschitz-type condition on a bifunction in a real Hilbert space. The strong convergence theorem for the proposed method is precisely established on the basis of the standard cost bifunction assumptions. The application of our convergence results is also considered in the context of variational inequalities. For numerical analysis, we consider the well-known Nash-Cournot oligopolistic equilibrium model to support our well-established convergence results.</p>2020-12-31T00:00:00+00:00http://www.rgnpublications.com/journals/index.php/cma/article/view/1386Construction of a Family of \(C^1\) Convex Integro Cubic Splines2021-01-19T11:46:35+00:00Zhanlav Tugaltzhanlav@yahoo.comMijiddorj Renchin-Ochirmijiddorj@msue.edu.mn<p>We construct a family of monotone and convex \(C^1\) integro cubic splines under a strictly convex position of the dataset. Then, we find an optimal spline by considering its approximation properties. Finally, we give some examples to illustrate the convex-preserving properties of these splines.</p>2020-12-31T00:00:00+00:00http://www.rgnpublications.com/journals/index.php/cma/article/view/1409Common Fixed Point Results in \(C\)-Complete Complex Valued Metric Spaces2021-01-19T11:46:35+00:00Rita Palritapal001@gmail.comA. K. Dubeyanilkumardby70@gmail.comMithilesh Deo Pandeymithileshpandey1978@gmail.com<p>In this paper, we establish some common fixed point theorems involving two pairs of weakly compatible mappings satisfying rational inequality in the setting of \(C\)-complex valued metric space. The presented theorems generalize, extend and improve the known results in the literature.</p>2020-12-31T00:00:00+00:00http://www.rgnpublications.com/journals/index.php/cma/article/view/1441Cycle Neighbor Polynomial of Graphs2021-01-19T11:46:35+00:00Annie Sabitha Paulanniesabithapaul@gmail.comRaji Pilakkatrajipilakkat@gmail.com<p>In this paper, a new univariate graph polynomial called <em>Cycle Neighbor Polynomial </em>\(CN[G;x]\) of a graph \(G\) is introduced. We obtain some interesting properties of this polynomial and compute cycle neighbor polynomial of some specific graphs.</p>2020-12-31T00:00:00+00:00http://www.rgnpublications.com/journals/index.php/cma/article/view/1118Equality in Distribution of Random Sums for Introducing Selfdecomposability2021-01-19T11:46:35+00:00Constantinos T. Artikisctartikis@gmail.comPanagiotis T. Artikisptartikis@gmail.com<p>It constitutes a general recognition that discrete Poisson random sums are very strong tools of probability theory with significant applications in a very wide variety of important practical disciplines. The paper makes use of an equality in distribution for the investigation of the structure of a particularly significant class of discrete Poisson random sums.</p>2020-12-31T00:00:00+00:00http://www.rgnpublications.com/journals/index.php/cma/article/view/1411Some Special Families of Holomorphic and Sălăgean Type Bi-univalent Functions Associated with \((m,n)\)-Lucas Polynomials2021-01-19T11:46:35+00:00S. R. Swamymailtoswamy@rediffmail.comAbbas Kareem Wanasabbaskareem.w@gmail.comY. Sailajasailajay@rvce.edu.in<p>The aim of the present paper is to introduce some special families of holomorphic and S<span>ă</span>l<span>ă</span>gean type bi-univalent functions associated with \((m,n)\)-Lucas polynomials in the open unit disc \(\mathfrak{D}\). We investigate the upper bounds on initial coefficients for functions in these newly introduced special families and also discuss the Fekete-Szeg<span>ö</span> problem.\ Some interesting consequences of the results established here are indicated.</p>2020-12-31T00:00:00+00:00http://www.rgnpublications.com/journals/index.php/cma/article/view/1370Approximate Solution of Time-Fractional Helmholtz and Coupled Helmholtz Equations2021-01-19T11:46:35+00:00Mine Aylin Bayrakaylin@kocaeli.edu.trSemiha Tetiksemiha.ttk@gmail.com<p>The approximate analytical solution of the time-fractional Helmholtz and coupled Helmholtz equations have been acquired successfully via Residual Power Series Method (RPSM). The approximate solutions obtained by RPSM are compared with the exact solutions through different graphics and tables. The fractional derivatives are described in the Caputo sense. The numerical results demonstrate that the new method is quite accurate and readily implemented.</p>2020-12-31T00:00:00+00:00http://www.rgnpublications.com/journals/index.php/cma/article/view/1413Some Best Proximity Point Results for \(\mathcal{MT}\)-Rational Cyclic Contractions in \(S\)-Metric Space2021-01-19T11:46:35+00:00Somkiat Chaipornjareansrisomkiat.chai@gmail.com<p>In this paper, we use the concept of \(\mathcal{MT}\)-function to establish the best proximity point results for a certain class of proximal cyclic contractive mappings in \(S\)-metric spaces. Our results extend and improve some known results in the literature. We give an example to analyze and support our main results.</p>2020-12-31T00:00:00+00:00http://www.rgnpublications.com/journals/index.php/cma/article/view/1427Linking R&D Spillovers to Market Structure and Its Impact on Equilibrium Results2021-01-19T11:46:35+00:00Mohamad Alghamdialmohamad@ksu.edu.sa<p>We develop an R&D network model by linking R&D spillovers to the degree of substitution of goods. Then, we examine the impact of the new model on the equilibrium outcomes under Cournot competition. The results show that the importance of the spillover restriction appears if the substitution degree of goods is small where in this case, the outcomes are maximized under the restricted spillover. The results also show that as the degree of replacement increases, the structure of socially optimal cooperation under restricted spillover effects is more intense than in the case of free spillover effects.</p>2020-12-31T00:00:00+00:00http://www.rgnpublications.com/journals/index.php/cma/article/view/1431Perturbation-Iteration Method for Solving Differential-Difference Equations Having Boundary Layer2021-01-19T11:46:35+00:00Raghvendra Pratap Singhnitraghu7@gmail.comY. N. Reddyynreddy@nitw.ac.in<p>In this paper, a perturbation iteration method is described for solving differential-difference equations having boundary layer. Firstly, the given differential-difference equation having boundary layer is converted into a singularly perturbed ordinary differential equation using Taylor’s transformation. Then perturbation iteration method applied to solve the resulting singularly perturbed ordinary differential equation. To demonstrate the applicability of this method, three model examples are solved. It is observed that the perturbation iteration method produces very good approximation to the exact solution.</p>2020-12-31T00:00:00+00:00http://www.rgnpublications.com/journals/index.php/cma/article/view/1425Existence of Solution to a Quadratic Functional Integro-Differential Fractional Equation2021-01-19T11:46:35+00:00B. D. Karandebdkarande@rediffmail.comS. N. Kondekarsachinkondekar7@gmail.comAn algebraic fixed point theorem involving the two operators in a Banach algebra is used to prove the existence of solutions to fractional order quadratic functional integro-differential equation in (\mathcal{R}_+\). Also, we establish the locally attractivity results and extremal solutions along with suitable example.2020-12-31T00:00:00+00:00