University of MaraghehSahand Communications in Mathematical Analysis2322-580718320210801Fixed Points of $p$-Hybrid $L$-Fuzzy Contractions12524432510.22130/scma.2021.137899.863ENShehu ShagariMohammedDepartment of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria.0000-0002-0365-2878Ibrahim AliyuFulatanDepartment of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria.YahayaSirajoSchool of Arts and Sciences, American University of Nigeria, Yola, Adamawa State, Nigeria.Journal Article20201010In this paper, the notion of $p$-hybrid $L$-fuzzy contractions in the framework of $b$-metric space is introduced. Sufficient conditions for existence of common $L$-fuzzy fixed points under such contractions are also investigated. The established ideas are generalizations of many concepts in fuzzy mathematics. In the case where our postulates are reduced to their classical variants, the concept presented herein merges and extends several significant and well-known fixed point theorems in the setting of both single-valued and multi-valued mappings in the corresponding literature of discrete and computational mathematics. A few of these special cases are pointed out and discussed. In support of our main hypotheses, a nontrivial example is provided.https://scma.maragheh.ac.ir/article_244325_d30754f6d2c0cb3fb229dfc03729d6c5.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580718320210801A Generalized Class of Univalent Harmonic Functions Associated with a Multiplier Transformation273924432610.22130/scma.2021.132155.841ENDeeplaiKhuranaDepartment of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India.Department of Mathematics, Hans Raj Mahila Maha Vidyalya, Jalandhar-144001, Punjab, India.Raj KumarGargDepartment of Mathematics, DAV University, Jalandhar-144001, Punjab, India.0000-0001-9277-0915SarikaVermaDepartment of Mathematics, DAV University, Jalandhar-144001, Punjab, India.GangadharanMurugusundaramoorthySchool of Advanced Science,Vellore Institute of technology Deemed to be University, Vellore - 632014, India.0000-0001-8285-6619Journal Article20200804We define a new subclass of univalent harmonic mappings using multiplier transformation and investigate various properties like necessary and sufficient conditions, extreme points, starlikeness, radius of convexity. We prove that the class is closed under harmonic convolutions and convex combinations. Finally, we show that this class is invariant under Bernandi-Libera-Livingston integral for harmonic functions.https://scma.maragheh.ac.ir/article_244326_e055e5b960113742ca0491d26ac5329a.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580718320210801On Some Linear Operators Preserving Disjoint Support Property414924493910.22130/scma.2021.115697.690ENNohaEftekhariDepartment of pure Mathematics, Faculty of Mathematical Sciences,
University of Shahrekord, P.O.Box 115, Shahrekord, 88186-34141, Iran.0000-0002-8159-1652AliBayati EshkaftakiDepartment of pure Mathematics, Faculty of Mathematical Sciences,
University of Shahrekord, P.O.Box 115, Shahrekord, 88186-34141, Iran.Journal Article20191013The aim of this work is to characterize all bounded linear operators $T:\lpi\rightarrow\lpi$ which preserve disjoint support property. We show that the constant coefficients of all isometries on $\lpi$ are in the class of such operators, where $2\neq p\in [1,\infty )$ and $I$ is a non-empty set. We extend preserving disjoint support property to linear operators on $\mathfrak{c}_{0}(I).$ At the end, we obtain some equivalent properties of isometries on Banach spaces.https://scma.maragheh.ac.ir/article_244939_8c1b7702456136d5bdd669a1216f6552.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580718320210801Existence and Uniqueness for a Class of SPDEs Driven by L\'{e}vy Noise in Hilbert Spaces516824494010.22130/scma.2021.520720.884ENMajidZamaniDepartment of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran.S. MansourVaezpourDepartment of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran.0000-0003-3909-4203ErfanSalavatiDepartment of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran.Journal Article20201208The present paper seeks to prove the existence and uniqueness of solutions to stochastic evolution equations in Hilbert spaces driven by both Poisson random measure and Wiener process with non-Lipschitz drift term. The proof is provided by the theory of measure of noncompactness and condensing operators. Moreover, we give some examples to illustrate the application of our main theorem.https://scma.maragheh.ac.ir/article_244940_dba1e68bdd5e1765959ed2e089f27abc.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580718320210801Bicomplex Frames698924494110.22130/scma.2021.140216.875ENAiadElgourariLab. P.D.E., Algebra and Spectral Geometry, Department of mathematics, Faculty of sciences, P.O.Box 133, Ibn Tofail University in Kenitra; Morocco.0000-0002-3050-3106AllalGhanmiAnalysis, P.D.G $\&$ Spectral Geometry. Lab. M.I.A.-S.I., CeReMAR, Department of Mathematics, P.O. Box 1014, Faculty of Sciences, Mohammed V University in Rabat, Morocco.0000000307645576MohammedSouid El AininFaculty of Law, Economics and Social Sciences, Ibn Zohr University, Agadir, Morocco.000000025835283xJournal Article20201209We define in a natural way the bicomplex analog of the frames (bc-frames) in the setting of bicomplex infinite Hilbert spaces, and we characterize them in terms of their idempotent components. We also extend some classical results from frames theory to bc-frames and show that some of them do not remain valid for bc-frames in general. The construction of bc-frame operators and Weyl--Heisenberg bc-frames are also discussed.https://scma.maragheh.ac.ir/article_244941_28312fad14c7968bb218915ac76a0ec2.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580718320210801Integral $K$-Operator Frames for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$9110724509310.22130/scma.2021.140176.874ENHatimLabriguiDepartment of Mathematics, Faculty of Science, University of Ibn Tofail, B.P. 133, Kenitra, Morocco.0000-0001-8807-487XSamirKabbajDepartment of Mathematics, Faculty of Science, University of Ibn Tofail, B.P. 133, Kenitra, Morocco.0000000197179366Journal Article20201120In this work, we introduce a new concept of integral $K$-operator frame for the set of all adjointable operators from a Hilbert $C^{\ast}$-module $\mathcal{H}$ to itself denoted by $End_{\mathcal{A}}^{\ast}(\mathcal{H}) $. We give some properties relating to some constructions of integral $K$-operator frames and to operators preserving integral $K$-operator frame and we establish some new results.https://scma.maragheh.ac.ir/article_245093_07dd1360b8edf8b60112e040dfd1a67b.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580718320210801Characteristics of Solutions of Fractional Hybrid Integro-Differential Equations in Banach Algebra10913124509610.22130/scma.2021.120867.876ENAhmedEl-SayedDepartment of mathematics, Alexandria University, Alexandria, Egypt.https://orcid.org/00HindHashemDepartment of mathematics, College of Science, Qassim University, P.O. Box 6644 Buraidah 51452 , Saudi Arabia.ShoroukAl-IssaDepartment of mathematics, Lebanese International University, Lebanon, Saida.0000-0002-1488-0817Journal Article20201122In this paper, we discuss the existence results for a class of hybrid initial value problems of Riemann-Liouville fractional differential equations. Our investigation is based on the Dhage hybrid fixed point theorem, remarks and some special cases will be discussed. The continuous dependence of the unique solution on one of its functions will be proved.https://scma.maragheh.ac.ir/article_245096_db0e04a3c16285e17ecf58580ada2ec3.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580718320210801Woven g-Fusion Frames in Hilbert Spaces13315124565610.22130/scma.2021.137940.870ENMaryamMohammadrezaeeDepartment of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran.MehdiRashidi-KouchiDepartment of Mathematics, Ghaderabad Center, Islamic Azad University, Ghaderabad, Iran.AkbarNazariDepartment of Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.AliOloomiDepartment of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran.0000-0003-4647-364xJournal Article20201108In this paper, we introduce the notion of woven g-fusion frames in Hilbert spaces. Then, we present sufficient conditions for woven g-fusion frames in terms of woven frames in Hilbert spaces. We extend some of the recent results of standard woven frames and woven fusion frames to woven g-fusion frames. Also, we study perturbations of woven g-fusion frames.https://scma.maragheh.ac.ir/article_245656_84649d2e0770efe44077b193828a8a3a.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580718320210801A Review on Some Fuzzy Integral Inequalities15318525267010.22130/scma.2022.555219.1125ENBayazDarabyDepartment of Mathematics, University of Maragheh, P. O. Box 55181-83111, Maragheh, Iran.0000-0001-6872-8661Journal Article20220606In this paper, we introduce fuzzy measure and fuzzy integral concepts and express some of the fuzzy integral properties. The main purpose of this article is to reviewing of some important mathematical inequalities that have many applications in modeling mathematical problems. Firstly, we prove the related Gauss-Winkler type inequality for fuzzy integrals. Indeed, we prove fuzzy version provided by D. H. Hong. Another the famous mathematical inequality is Minkowski's inequality. It is an important inequality from both mathematical and application points of view. Here, we state a Minkowski type inequality for fuzzy integrals. The established results are based on the classical Minkowski's inequality for integrals. In the continue, we showed that by an example the classical Pr\'{e}kopa-Leindler type inequality is not valid for the Sugeno integral. We proved one version of the Pr\'{e}kopa-Leindler type inequality by adding concave fuzzy measure and quasi-concave fuzzy measure assumptions for the Sugeno integral with different proofs. Also, we obtained a derivation version of the Pr\'{e}kopa-Leindler inequality and illustrated all of the main results by examples. Finally, we investigate the Thunsdorff's inequality for Sugeno integral. By an example, we show that the classical form of this inequality does not hold for the Sugeno integral. Then, by reviewing the initial conditions, we prove two main theorems for this inequality.By checking the special case of the aforementioned Thunsdorff's inequality, we prove Frank-Pick type inequality for the Sugeno integral and illustrate it by an example.https://scma.maragheh.ac.ir/article_252670_81847809bb775ee02a7be32cea2fbfd9.pdf