University of MaraghehSahand Communications in Mathematical Analysis2322-580717220200601A New Iterative Algorithm for Multivalued Nonexpansive Mappping and Equlibruim Problems with Applications1223737110.22130/scma.2019.93964.499ENThierno Mohadamane MansourSowGaston Berger University, Saint Louis, Senegal.Journal Article20180917In this paper, we introduce two iterative schemes by a modified Krasnoselskii-Mann algorithm for finding a common element of the set of solutions of equilibrium problems and the set of fixed points of multivalued nonexpansive mappings in Hilbert space. We prove that the sequence generated by the proposed method converges strongly to a common element of the set of solutions of equilibruim problems and the set of fixed points of multivalued nonexpansive mappings which is also the minimum-norm element of the above two sets. Finally, some applications of our results to optimization problems with constraint and the split feasibility problem are given. No compactness assumption is made. The methods in the paper are novel and different from those in early and recent literature.https://scma.maragheh.ac.ir/article_37371_8562efa14f6c3cc3f1a5bef0e2759b6b.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580717220200601Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions23363737310.22130/scma.2019.97961.527ENMensurYalcinDepartment of Mathematics, Faculty of Science and Arts, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey.HakanSimsekDepartment of Mathematics, Faculty of Science and Arts, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey.IshakAltunDepartment of Mathematics, Faculty of Science and Arts, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey.Journal Article20181119In this paper, we present some fixed point theorems for single valued mappings on $K$-complete, $M$-complete and Symth complete quasi metric spaces. Here, for contractive condition, we consider some altering distance functions together with functions belonging to $C$-class and $A$-class. At the same time, we will consider two different type $M$ functions in contractive conditions because the quasi metric does not provide the symmetry property. Finally, we show that our main results includes many fixed point theorems presented on both complete metric and complete quasi metric spaces in the literature. We also provide an illustrative example to show importance of our results.https://scma.maragheh.ac.ir/article_37373_aad63a7ac585d04a6ecd958a0f67b051.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580717220200601Some Fixed Point Theorems in Generalized Metric Spaces Endowed with Vector-valued Metrics and Application in Linear and Nonlinear Matrix Equations37533741010.22130/scma.2018.86797.440ENHasanHosseinzadehDepartment of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran.0000-0002-1723-4140Journal Article20180524Let $\mathcal{X}$ be a partially ordered set and $d$ be a generalized metric on $\mathcal{X}$. We obtain some results in coupled and coupled coincidence of $g$-monotone functions on $\mathcal{X}$, where $g$ is a function from $\mathcal{X}$ into itself. Moreover, we show that a nonexpansive mapping on a partially ordered Hilbert space has a fixed point lying in the unit ball of the Hilbert space. Some applications for linear and nonlinear matrix equations are given.https://scma.maragheh.ac.ir/article_37410_66eea9cbee3a9a5ccfbce5ff9cbcd2b5.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580717220200601Some Results on the Field of Values of Matrix Polynomials55683741110.22130/scma.2018.88329.461ENZahraBoor Boor AzimiDepartment of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran.GholamrezaAghamollaeiDepartment of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman,
Kerman, Iran.Journal Article20180618In this paper, the notions of pseudofield of values and joint pseudofield of values of matrix polynomials are introduced and some of their algebraic and geometrical properties are studied. Moreover, the relationship between the pseudofield of values of a matrix polynomial and the pseudofield of values of its companion linearization is stated, and then some properties of the augmented field of values of basic A-factor block circulant matrices are investigated.https://scma.maragheh.ac.ir/article_37411_dde7ec5ae03c9208d9ee594fab1f00a2.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580717220200601Vector Optimization Problems and Generalized Vector Variational-Like Inequalities69823771210.22130/scma.2018.85895.433ENIldarSadeqiDepartment of Mathematics, Sahand University of Technology, Tabriz, Iran.0000-0001-5336-6186SomayehNadiDepartment of Mathematics, Sahand University of Technology, Tabriz, Iran.Journal Article20180510In this paper, some properties of pseudoinvex functions, defined by means of limiting subdifferential, are discussed. Furthermore, the Minty vector variational-like inequality, the Stampacchia vector variational-like inequality, and the weak formulations of these two inequalities defined by means of limiting subdifferential are studied. Moreover, some relationships between the vector variational-like inequalities and vector optimization problems are established.https://scma.maragheh.ac.ir/article_37712_21815133c068c44f4de658d87ac91628.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580717220200601Common Fixed Point Results on Complex-Valued $S$-Metric Spaces831053741210.22130/scma.2018.92986.488ENNihalTaşDepartment of Mathematics, Bali kesir University, 10145, Bali kesir, Turkey.0000-0002-4535-4019NihalYilmaz OzgurDepartment of Mathematics, Bal\i kesir University, 10145 Bal\i kesir, Turkey.0000-0002-8152-1830Journal Article20180903Banach's contraction principle has been improved and extensively studied on several generalized metric spaces. Recently, complex-valued $S$-metric spaces have been introduced and studied for this purpose. In this paper, we investigate some generalized fixed point results on a complete complex valued $S$-metric space. To do this, we prove some common fixed point (resp. fixed point) theorems using different techniques by means of new generalized contractive conditions and the notion of the closed ball. Our results generalize and improve some known fixed point results. We provide some illustrative examples to show the validity of our definitions and fixed<br />point theorems.https://scma.maragheh.ac.ir/article_37412_e477c6d8dffcdb074632c412bdb687c1.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580717220200601On the Monotone Mappings in CAT(0) Spaces1071173741410.22130/scma.2019.69719.273ENDavoodAfkhami TabaDepartment of Mathematics, Bandar Abbas Branch, Islamic Azad University, P.O.Box 79158-93144, Bandar Abbas, Iran.HosseinDehghanDepartment of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Gava Zang, P.O.Box 45137-66731, Zanjan, IranJournal Article20170808In this paper, we first introduce a monotone mapping and its resolvent in general metric spaces.<br />Then, we give two new iterative methods by combining the resolvent method with Halpern's iterative method and viscosity approximation method for finding a fixed point of monotone mappings and a solution of variational inequalities. We prove convergence theorems of the proposed iterations in CAT(0) metric spaces.https://scma.maragheh.ac.ir/article_37414_68347178e93bdca436046052192cf88e.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580717220200601Best Proximity Point Results for Almost Contraction and Application to Nonlinear Differential Equation1191383839110.22130/scma.2019.95982.515ENAzharHussainDepartment of Mathematics, University of Sargodha, Sargodha-40100, Pakistan.MujahidAbbasDepartment of Mathematics, Government College University, Lahore 54000, Pakistan and Department of Mathematics and Applied Mathematics, University of Pretoria Hatfield 002, Pretoria, South Africa.MuhammadAdeelDepartment of Mathematics, University of Sargodha, Sargodha-40100, Pakistan.TanzeelaKanwalDepartment of Mathematics, University of Sargodha, Sargodha-40100, Pakistan.Journal Article20181018Berinde [V. Berinde, Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Anal. Forum {\bf 9} (2004), 43-53] introduced almost contraction mappings and proved Banach contraction principle for such mappings. The aim of this paper is to introduce the notion of multivalued almost $\Theta$- contraction mappings and<br />to prove some best proximity point results for this new class of mappings. As applications, best proximity point and fixed point results for weak single valued $\Theta$-contraction mappings are obtained. Moreover, we give an example to support the results presented herein. An application to a nonlinear differential equation is also provided.https://scma.maragheh.ac.ir/article_38391_5cea07e80507a72f15663157ce9b5ec2.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580717220200601Inequalities of Ando's Type for $n$-convex Functions1391593746910.22130/scma.2018.94775.506ENRozarijaMikicUniversity of Zagreb, Faculty of Textile Technology, 10000 Zagreb, Croatia.JosipPečarićRUDN University, Miklukho-Maklaya str. 6, 117198 Moscow, Russia.Journal Article20180930By utilizing different scalar equalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Ando's inequality and in the Edmundson-Lah-Ribari\v c inequality for solidarities that hold for a class of $n$-convex functions. As an application, main results are applied to some operator means and relative operator entropy.https://scma.maragheh.ac.ir/article_37469_f2353c2142d6389e80c0e9841406ce3f.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580717220200601New Generalization of Darbo's Fixed Point Theorem via $\alpha$-admissible Simulation Functions with Application1611713783610.22130/scma.2018.84950.427ENHosseinMonfaredDepartment of Mathematics, Bilehsavar Branch, Islamic Azad University, Bilehsavar, Iran.MehdiAsadiDepartment of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran.AliFarajzadehDepartment of Mathematics, Razi University, Kermanshah, 67149, Iran.0000-0001-5221-6741Journal Article20180425In this paper, at first, we introduce $\alpha_{\mu}$-admissible, $Z_\mu$-contraction and $N_{\mu}$-contraction via simulation functions. We prove some new fixed point theorems for defined class of contractions via $\alpha$-admissible simulation mappings, as well. Our results can be viewed as extension of the corresponding results in this area. Moreover, some examples and an application to functional integral equations are given to support the obtained results.https://scma.maragheh.ac.ir/article_37836_ebd5fb7f6d8fb30eaa38020d459af69d.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580717220200601Bornological Completion of Locally Convex Cones1731833905110.22130/scma.2019.107061.601ENDavoodAyasehDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.0000-0002-9225-319xAsgharRanjbariDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.0000-0003-0789-4812Journal Article20190429In this paper, firstly, we obtain some new results about bornological convergence in locally convex cones (which was studied in [1]) and then we introduce the concept of bornological completion for locally convex cones. Also, we prove that the completion of a bornological locally convex cone is bornological. We illustrate the main result by an example.https://scma.maragheh.ac.ir/article_39051_31fe870e6a837c4f5f9a112e82686fa3.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580717220200601Generalized Continuous Frames for Operators1852013740910.22130/scma.2018.97329.523ENChander.ShekharDepartment of Mathematics Indraprastha college for Women, University of Delhi, Delhi 110054, India.SunayanaBhatiDepartment of Mathematics and Statistics, University college of Science, M.L.S. University, Udaipur, Rajasthan, India.G.S.RathoreDepartment of Mathematics and Statistics, University college of Science, M.L.S. University, Udaipur, Rajasthan, India.Journal Article20181109In this note, the notion of generalized continuous K- frame in a Hilbert space is defined. Examples have been given to exhibit the existence of generalized continuous $K$-frames. A necessary and sufficient condition for the existence of a generalized continuous $K$-frame in terms of its frame operator is obtained and a characterization of a generalized continuous $K$-frame for $ \mathcal{H} $ with respect to $ \mu $ is given. Also, a sufficient condition for a generalized continuous $K$-frame is given. Further, among other results, we prove that generalized continuous $K$-frames are invariant under a linear homeomorphism. Finally, keeping in mind the importance of perturbation theory in various branches of applied mathematics, we study perturbation of $K$-frames and obtain conditions for the stability of generalized continuous $K$-frames.https://scma.maragheh.ac.ir/article_37409_fa26e1468b04482563c581f767572d35.pdf