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ISSN : 1226-0657
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Vol.18 No.3
Abstract
In this paper, we present a new extended Jacobi method for computing eigenvalues and eigenvectors of Hermitian matrices which does not use any complex arithmetics. This method can be readily applied to skew-Hermitian and real skew-symmetric matrices as well. An example illustrating its computational efficiency is given.
Abstract
The aim of this paper is to define a new commutativity condition for a pair of self mappings i.e., (DS)-weak commutativity condition, which is weaker that compatibility of mappings in the settings of intuitionistic Menger spaces. We show that a common fixed point theorem can be proved for nonlinear contractive condition in intuitionistic Menger spaces without assuming continuity of any mapping. To prove the result we use (DS)-weak commutativity condition for mappings. We also give examples to validate our results.
Abstract
We determine the radius of convergence for some Newton{type methods (NTM) for approximating a locally unique solution of an equation in a Banach space setting. A comparison is given between the radii of (NTM) and Newton's method (NM). Numerical examples further validating the theoretical results are also provided in this study.
Abstract
We prove the Hyers-Ulam stability for trigonometric type functional inequalities in restricted domains with time variables. As consequences of the result we obtain asymptotic behaviors of the inequalities and stability of related functional inequalities in almost everywhere sense.
Abstract
Some new results on the intersection property of all nonzero solutions of a class of planar systems of Li<TEX>$\acute{e}$</TEX>nard type with vertical isoclines are obtained. The results of this paper generalize some previous results on this field.
Abstract
In this paper, we define the intuitionistic fuzzy contraction, and obtain some fixed point theorem using common property(E.A.) and weakly compatibility in intuitionistic fuzzy metric space.
Abstract
For a compact Hausdorff space X with its p-fold covering map <TEX>${\sigma}$</TEX>, we construct its corresponding topological groupoid <TEX>${\Gamma}$</TEX>, and show that there is a strong relation between the dynamical structures of (X, <TEX>${\sigma}$</TEX>) and the groupoid structures of <TEX>${\Gamma}$</TEX>.
Abstract
We investigate the divisor class group of surfaces over finite fields. For some surfaces the divisor class group depends on the characteristic of the field. We calculate the determinant of a matrix which will provide an information about the divisor class group of the surfaces.
Abstract
In this note we study the Schwarz lemma and its various versions. We find a condition for a holomorphic map to have fixed points only on the boundary of the unit disc and compare its derivatives at fixed points to get some relations among them.