A New Iterative Algorithm for Multivalued Nonexpansive Mappping and Equlibruim Problems with Applications Thierno Mohadamane Mansour Sow Gaston Berger University, Saint Louis, Senegal. author text article 2020 eng In 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. Sahand Communications in Mathematical Analysis University of Maragheh 2322-5807 17 v. 2 no. 2020 1 22 https://scma.maragheh.ac.ir/article_37371_a45543e6139e50592742c377bbb3e07a.pdf dx.doi.org/10.22130/scma.2019.93964.499 Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions Mensur Yalcin Department of Mathematics, Faculty of Science and Arts, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey. author Hakan Simsek Department of Mathematics, Faculty of Science and Arts, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey. author Ishak Altun Department of Mathematics, Faculty of Science and Arts, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey. author text article 2020 eng In 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. Sahand Communications in Mathematical Analysis University of Maragheh 2322-5807 17 v. 2 no. 2020 23 36 https://scma.maragheh.ac.ir/article_37373_a6570a8c7efa8102a5a2376c2d3d7fd4.pdf dx.doi.org/10.22130/scma.2019.97961.527 Some Fixed Point Theorems in Generalized Metric Spaces Endowed with Vector-valued Metrics and Application in Linear and Nonlinear Matrix Equations Hasan Hosseinzadeh Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran. author text article 2020 eng Let $\mathcal{X}$ 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. Sahand Communications in Mathematical Analysis University of Maragheh 2322-5807 17 v. 2 no. 2020 37 53 https://scma.maragheh.ac.ir/article_37410_f2d64a18e13a8179dcb9e3507cf25af1.pdf dx.doi.org/10.22130/scma.2018.86797.440 Some Results on the Field of Values of Matrix Polynomials Zahra Boor Boor Azimi Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran. author Gholamreza Aghamollaei Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran. author text article 2020 eng In 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. Sahand Communications in Mathematical Analysis University of Maragheh 2322-5807 17 v. 2 no. 2020 55 68 https://scma.maragheh.ac.ir/article_37411_9e2b73b28530ee677702cc376d967792.pdf dx.doi.org/10.22130/scma.2018.88329.461 Vector Optimization Problems and Generalized Vector Variational-Like Inequalities Ildar Sadeqi Department of Mathematics, Sahand University of Technology, Tabriz, Iran. author Somayeh Nadi Department of Mathematics, Sahand University of Technology, Tabriz, Iran. author text article 2020 eng In 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. Sahand Communications in Mathematical Analysis University of Maragheh 2322-5807 17 v. 2 no. 2020 69 82 https://scma.maragheh.ac.ir/article_37712_612932aa8853c744edc12091035d112c.pdf dx.doi.org/10.22130/scma.2018.85895.433 Common Fixed Point Results on Complex-Valued $S$-Metric Spaces Nihal Taş Department of Mathematics, Bali kesir University, 10145, Bali kesir, Turkey. author Nihal Yilmaz Ozgur Department of Mathematics, Bal\i kesir University, 10145 Bal\i kesir, Turkey. author text article 2020 eng Banach'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 fixedpoint theorems. Sahand Communications in Mathematical Analysis University of Maragheh 2322-5807 17 v. 2 no. 2020 83 105 https://scma.maragheh.ac.ir/article_37412_b6d9f7287f605b0fe1bd1bc28da3845b.pdf dx.doi.org/10.22130/scma.2018.92986.488 On the Monotone Mappings in CAT(0) Spaces Davood Afkhami Taba Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, P.O.Box 79158-93144, Bandar Abbas, Iran. author Hossein Dehghan Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Gava Zang, P.O.Box 45137-66731, Zanjan, Iran author text article 2020 eng In this paper, we first introduce a monotone mapping and its resolvent in general metric spaces.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. Sahand Communications in Mathematical Analysis University of Maragheh 2322-5807 17 v. 2 no. 2020 107 117 https://scma.maragheh.ac.ir/article_37414_32c80ecebc2c3d6c8e60ea1c74bfbb9a.pdf dx.doi.org/10.22130/scma.2019.69719.273 Best Proximity Point Results for Almost Contraction and Application to Nonlinear Differential Equation Azhar Hussain Department of Mathematics, University of Sargodha, Sargodha-40100, Pakistan. author Mujahid Abbas Department of Mathematics, Government College University, Lahore 54000, Pakistan and Department of Mathematics and Applied Mathematics, University of Pretoria Hatfield 002, Pretoria, South Africa. author Muhammad Adeel Department of Mathematics, University of Sargodha, Sargodha-40100, Pakistan. author Tanzeela Kanwal Department of Mathematics, University of Sargodha, Sargodha-40100, Pakistan. author text article 2020 eng Berinde [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 andto 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. Sahand Communications in Mathematical Analysis University of Maragheh 2322-5807 17 v. 2 no. 2020 119 138 https://scma.maragheh.ac.ir/article_38391_8add387ec1b4cd717b79ca1c2b06cf11.pdf dx.doi.org/10.22130/scma.2019.95982.515 Inequalities of Ando's Type for $n$-convex Functions Rozarija Mikic University of Zagreb, Faculty of Textile Technology, 10000 Zagreb, Croatia. author Josip Pečarić RUDN University, Miklukho-Maklaya str. 6, 117198 Moscow, Russia. author text article 2020 eng By 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. Sahand Communications in Mathematical Analysis University of Maragheh 2322-5807 17 v. 2 no. 2020 139 159 https://scma.maragheh.ac.ir/article_37469_2d7ac926af76cbb8dedb6c7e2dfbdd48.pdf dx.doi.org/10.22130/scma.2018.94775.506 New Generalization of Darbo's Fixed Point Theorem via $\alpha$-admissible Simulation Functions with Application Hossein Monfared Department of Mathematics, Bilehsavar Branch, Islamic Azad University, Bilehsavar, Iran. author Mehdi Asadi Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran. author Ali Farajzadeh Department of Mathematics, Razi University, Kermanshah, 67149, Iran. author text article 2020 eng In 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. Sahand Communications in Mathematical Analysis University of Maragheh 2322-5807 17 v. 2 no. 2020 161 171 https://scma.maragheh.ac.ir/article_37836_39ad1aa7de0c747d55d528d05434e30a.pdf dx.doi.org/10.22130/scma.2018.84950.427 Bornological Completion of Locally Convex Cones Davood Ayaseh Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran. author Asghar Ranjbari Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran. author text article 2020 eng In this paper, firstly, we obtain some new results about bornological convergence in locally convex cones (which was studied in ) 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. Sahand Communications in Mathematical Analysis University of Maragheh 2322-5807 17 v. 2 no. 2020 173 183 https://scma.maragheh.ac.ir/article_39051_d288ff89dcc9ff1cf567e425be3f5c8f.pdf dx.doi.org/10.22130/scma.2019.107061.601 Generalized Continuous Frames for Operators Chander .Shekhar Department of Mathematics Indraprastha college for Women, University of Delhi, Delhi 110054, India. author Sunayana Bhati Department of Mathematics and Statistics, University college of Science, M.L.S. University, Udaipur, Rajasthan, India. author G.S. Rathore Department of Mathematics and Statistics, University college of Science, M.L.S. University, Udaipur, Rajasthan, India. author text article 2020 eng In 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. Sahand Communications in Mathematical Analysis University of Maragheh 2322-5807 17 v. 2 no. 2020 185 201 https://scma.maragheh.ac.ir/article_37409_6c5ddb5008c0e3934c7fff932837d13d.pdf dx.doi.org/10.22130/scma.2018.97329.523