University of MaraghehSahand Communications in Mathematical Analysis2322-580719320220901A Study on Statistical Convergence of Triple Sequences in Intuitionistic Fuzzy Normed Space11225416410.22130/scma.2022.545429.1039ENShailendraPanditDepartment of Mathematics, Faculty of Science, National Institute of Technology Patna, Ashok Rajpath, Patna (India).0000-0002-2069-1676AyazAhmadDepartment of Mathematics, Faculty of Science, National Institute of Technology Patna, Ashok Rajpath, Patna (India).Journal Article20211223S. Karkaus, K. Demirci, and O. Duman in 2008 studied the statistical convergence of a single sequence over Intuitionistic fuzzy normed space(\textbf{IFNS}). M. Mursaleen in 2009, generalized the above work for double sequences over IFNS. The present article is the study of statistical convergence of triple sequence and triple Cauchy sequences on IFNS. In addition, the article includes examples in support of some definitions and theorems. Furthermore, we examined the proof of the completeness of special sequence space.https://scma.maragheh.ac.ir/article_254164_a744fa62d8c5d6763a4eb084dd949865.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580719320220901Nearly $k-th$ Partial Ternary Cubic $*$-Derivations On Non-Archimedean $\ell$-Fuzzy $C^{*}$-Ternary Algebras133325196810.22130/scma.2021.543926.1026ENMohammad AliAbolfathiDepartment of Mathematics, Faculty of Science, Urmia University, P.O.Box 165, Urmia, Iran.0000-0002-1298-003XJournal Article20211129In this paper, we investigate approximations of the $k-th$ partial ternary cubic derivations on non-Archimedean $\ell$-fuzzy Banach ternary algebras and non-Archimedean $\ell$-fuzzy $C^{*}$-ternary algebras. First, we study non-Archimedean and $\ell$-fuzzy spaces, and then prove the stability of partial ternary cubic $*$-derivations on non-Archimedean $\ell$-fuzzy $C^{*}$-ternary algebras. We therefore provide a link among different disciplines: fuzzy set theory, lattice theory, non-Archimedean spaces, and mathematical analysis.https://scma.maragheh.ac.ir/article_251968_1124b5bfb4a5fd95ef9179be88a44ba4.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580719320220901Three Weak Solutions for an Anisotropic Variable Exponent Problem with Neumann Boundary Condition355325408710.22130/scma.2022.540486.1003ENTahereh -Norouzi GharaDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.0000-0002-5327-7981SomayeKhademlooDepartment of Basic Sciences, Babol Noshirvani University of Technology Babol, Iran.0000-0002-5380-2934GhasemAlizadeh AfrouziDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.LinLiSchool of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China, Chongqing Key Laboratory of Economic and Social Application Statistics.Journal Article20211007In the present work, we investigate an interval of real parameters $ \lambda $ for which the problem admits at least one nontrivial solution. Moreover we deal with the existence results of three solutions for anisotropic problems with variable exponents.https://scma.maragheh.ac.ir/article_254087_91b00a4d1dc306e1a4599d8aff49950e.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580719320220901An Approach to Change the Topology of a Topological Space556325433910.22130/scma.2022.132038.842ENAminTalabeigiDepartment of Mathematics, Payame Noor University(PNU), P.O.Box, 19395-4697, Tehran, Iran.0000-0001-5232-5008MaryamTalabeigiDepartment of Electrical Computer Engineering,
instructor of girls Kosar Sirjan branch, Technical and Vocational University (TVU), Kerman, Iran.Journal Article20200810In this paper, we are going to introduce an approach to convert the topology of a topological space to another topology (in fact, a coarser topology). For this purpose, we consider a topological space $(X, \tau)$ with a closed point $p$ of its points. Using a grill $\mathcal{G}$ on the space $(X, \tau)$ and the closure operator associated with $\tau$, we define a Kuratowski closure operator $cl^*_p$ on $X$ to create the desired topology. We then characterize the form of this resulting topology and also determine its relationship to the initial topology of the space.https://scma.maragheh.ac.ir/article_254339_7e881e561c422471177c3588c1ac0ca6.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580719320220901Conservation Laws and Moving Frame Method of Vaidya-Bonner Space-Time657625484110.22130/scma.2022.550731.1080ENDavoodFarrokhiDepartment of Mathematics, Karaj Branch, Islamic Azad University, karaj, Iran.RohollahBakhshandeh-ChamazkotiFaculty of Basic Sciences, Babol Noshirvani University of Technology, Babol, Iran.0000-0002-3345-4055MehdiNadjafikhahSchool of Mathematics, Iran University of Science and Technology, Tehran, Iran.Journal Article20220317In the present paper, we compute the conservation laws of the Vaidya-Bonner geodesic space-time metric in a<br />Riemannian space and carry out the moving frame method for this metric. We obtain the connection forms and<br />curvature 2-forms, using the first and second Cartan's structure equations. Finally, the Ricci scalar tensor and the components of Einstein curvature are calculated.https://scma.maragheh.ac.ir/article_254841_4f4d68240f93f1a69f38b7032b73e7bd.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580719320220901$ps-ro$ $\beta$-Open (Closed) Fuzzy Sets and Related Fuzzy Function and Continuity779225491310.22130/scma.2022.527982.928ENPankajChettriDepartment of Mathematics, Sikkim Manipal Institute of Technology Sikkim Manipal University, Sikkim, India.0000-0001-9092-1492GauravThapaDepartment of Mathematics, Sikkim Manipal Institute of Technology Sikkim Manipal University, Sikkim, India.AnamikaChettriDepartment of Mathematics, Sikkim Manipal Institute of Technology Sikkim Manipal University, Sikkim, India.Journal Article20210410In this paper, the notion of $ps-ro$ $\beta$-open (closed) fuzzy sets on a fuzzy topological space($fts$) has been introduced as a new tool to study $fts$, the properties of these sets are investigated and shown to be unrelated to the common concept of fuzzy $\beta$-open (closed) sets. Based on these fuzzy sets, $ps-ro$ fuzzy $\beta$-continuity and $ps-ro$ fuzzy $\beta$-open (closed) functions are proposed and they are also found to be different from the idea of fuzzy $\beta$-continuous and fuzzy $\beta$-open (closed) functions, respectively. Further, their characterizations and relationships with existing allied concepts are investigated.https://scma.maragheh.ac.ir/article_254913_2e02080a3ac15f31844e1a75ddab8034.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580719320220901Non-Instantaneous Impulsive Fractional Integro-Differential Equations with State-Dependent Delay9310925491210.22130/scma.2022.542200.1014ENNadiaBenkhettouLaboratory of Mathematics, University of Sidi Bel-Abb\`{e}s, PO Box 89, 22000, Sidi Bel-Abb\`es, Algeria.AbdelkrimSalimLaboratory of Mathematics, University of Sidi Bel-Abb\`{e}s, PO Box 89, 22000, Sidi Bel-Abb\`es, Algeria.Faculty of Technology, Hassiba Benbouali University, P.O. Box 151 Chlef 02000, Algeria.0000-0003-2795-6224KhalidaAissaniUniversity of Bechar, PO Box 417, 08000, Bechar, Algeria.0000-0002-6798-3254MouffakBenchohraLaboratory of Mathematics, University of Sidi Bel-Abb\`{e}s, PO Box 89, 22000, Sidi Bel-Abb\`es, Algeria.0000-0003-3063-9449ErdalKarapinarDivision of Applied Mathematics, Thu Dau Mot University, Thu Dau Mot City 820000, Binh Duong Province, Vietnam.Department of Mathematics, \c{C}ankaya University, 06790, Etimesgut, Ankara, Turkey.Journal Article20211105This paper deals with the existence and uniqueness of the mild solution of the fractional integro-differential equations with non-instantaneous impulses and state-dependent delay. Our arguments are based on the fixed point theory. Finally, an example to confirm of the results is provided.https://scma.maragheh.ac.ir/article_254912_0f1ba3f8dcec92918b13f6ef782c9f13.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580719320220901Uncertain Measure and its Application in Minimum Weighted Maximal Matching Problem11112425357710.22130/scma.2022.552238.1098ENMehdiDjahangiriDepartment of Mathematics, University Maragheh, Maragheh, Iran.Journal Article20220421The inherent feature of real-world data is uncertainty. If data is generated in valid experiments or standard collections, probability theory or fuzzy theory is a powerful tool for analyzing them. But data is not always reliable, especially when it is not possible to perform a reliable test or data collection multiple times. In this situations, referring to the beliefs of experts in the field in question is an alternative approach and uncertainty theory is a tool by which the beliefs of experts can be mathematically incorporated into the problem-solving structure. In this paper, we investigate the finding minimum weighted maximal matching with uncertain weights. For this purpose, we offer two methods. In the first method, by introducing the concept of chance constraint, we obtain model with definite coefficients. The second method is based on the concept of uncertain expected value. Finally, a numerical example for these two methods is presented. https://scma.maragheh.ac.ir/article_253577_2353068629178988c1d30b7719063cdf.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580719320220901Bijections on the Unit Ball of $B(H)$ Preserving $^{\ast}$-Jordan Triple Product12513925196710.22130/scma.2022.541050.1008ENShirinHejazianDepartment of Pure Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159, Mashhad, Iran.0000-0003-3052-1862MozhdehSafarizadehDepartment of Pure Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159, Mashhad, Iran.0000-0001-5017-4031Journal Article20211026Let $ \mathcal{B}_1$ denote the closed unit ball of $\mathcal B(H)$, the von Neumann algebra of all bounded linear operators on a complex Hilbert space $H$ with $\dim H\geq 2$. Suppose that $\phi$ is a bijection on $ \mathcal{B}_1$ (with no linearity assumption) satisfying<br />\begin{equation*}<br />\phi(AB^{*}A)=\phi(A)\phi(B)^{*}\phi(A), \quad( A, B\in \mathcal{B}_1).<br />\end{equation*}<br />If $I$ and $\mathbb T$ denote the identity operator on $H$ and the unit circle in $\mathbb C$, respectively and if $\phi$ is continuous on $\{\lambda I: \lambda\in \mathbb T\}$, then we show that $\phi(I)$ is a unitary operator and $\phi(I)\phi$ extends to a linear or conjugate linear Jordan $^*$-automorphism on $\mathcal B(H)$. As a consequence, there is either a unitary or an antiunitary operator $U$ on $H$ such that $\phi(A)=\phi(I) UAU^*$, $(A\in {\mathcal B}_1)$ or $ \phi(A)=\phi(I) UA^*U^*$, $(A\in {\mathcal B}_1)$.https://scma.maragheh.ac.ir/article_251967_0adf05940d21103cf91ec358bf9d7fe6.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580719320220901Generalizations of Some Inequalities for Sugino Integrals14116825501610.22130/scma.2022.562857.1183ENBayazDarabyDepartment of Mathematics, University of Maragheh, P. O. Box 55181-83111, Maragheh, Iran.0000-0001-6872-8661Journal Article20221001In this paper, we express and prove Bushell-Okrasiaski, Hardy and Minkowski type inequalities for two classes of pseudo-integrals. One of them, classes with pseudo-integrals where pseudo-operations are defined via a monotone and continuous generator function. The other one concerns the pseudo-integrals based on a semiring with an idempotent addition and a pseudo-multiplication generator. Those are important inequalities from both mathematical and application points of view. The established results are based on the classical Bushell-Okrasiaski, Hardy and Minkowski's inequalities for integrals. Also, some examples and applications are presented.https://scma.maragheh.ac.ir/article_255016_e86435ad220bf615452781bc98b104c0.pdf