فهرست مطالب

Journal of Mahani Mathematical Research
Volume:3 Issue: 2, Winter and Spring 2014

  • تاریخ انتشار: 1393/11/07
  • تعداد عناوین: 3
|
  • SOME NEW RESULTS ON REMOTEST POINTS IN NORMED SPACES
    H. Mazaheri *, M. ZARENEJHAD Pages 37-50

    In this paper, using the best proximity theorems for an extensionof Brosowski's theorem. We obtain other results on farthest points. Finally, wede ne the concept of e- farthest points. We shall prove interesting relationshipbetween the -best approximation and the e-farthest points in normed linearspaces (X; ||.||). If z in W is a e-farthest point from an x in X, then z is also a-best approximation in W.

    * The Formulas is not displayed correctly.

    Keywords: Remotest points, Approximate remotest points, Bestproximity points, Fixed points, Approximate best proximity points
    Abstract View Paper Research/Original Article Original: English
  • Gauss-Sidel and Successive Over Relaxation Iterative Methods for Solving System of Fuzzy Sylvester Equations
    Fatemeh Salary Pour Sharif Abad *, Azim Rivaz Pages 51-60
    In this paper, we present Gauss-Sidel and successive over relaxation (SOR) iterative methods for finding the approximate solution system of fuzzy Sylvester equations (SFSE), AX + XB = C, where A and B are two m*m crisp matrices, C is an m*m fuzzy matrix and X is an m*m unknown matrix. Finally, the proposed iterative methods are illustrated by solving one example.
    Keywords: Gauss-Sidel method, successive over relaxation method, System of fuzzy Sylvester equations
    Abstract View Paper Research/Original Article Original: English
  • Stability analysis of fractional-order nonlinear Systems via Lyapunov method
    Ali Bayati Eshkaftaki *, Javad Alidousti, Reza Khoshsiar Ghaziani Pages 61-73
    ‎In this paper‎, ‎we study stability of fractional-order nonlinear dynamic systems by means of Lyapunov‎ ‎method‎. ‎To examine the obtained results‎, ‎we employe the developed techniques on test examples‎.
    Keywords: Stability‎, ‎Riemann-Liouville derivative‎, ‎Caputo derivative‎, ‎Lyapunov method
    Abstract View Paper Research/Original Article Original: English