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ISSN : 1226-0657
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Vol.22 No.3
Abstract
We establish a common coupled fixed point theorem for hybrid pair of mappings under generalized Mizoguchi-Takahashi contraction on a noncomplete metric space, which is not partially ordered. It is to be noted that to find coupled oincidence point, we do not employ the condition of continuity of any mapping involved therein. An example is also given to validate our results. We improve, extend and generalize several known results.
Abstract
In this paper, we investigate bounds for solutions of nonlinear functional differential systems using the notion of t<sub>∞</sub>-similarity.
Abstract
We suggest and analyze a family of multi-step iterative methods for solving nonlinear equations using the decomposition technique mainly due to Rafiq et al. <xref>[13]</xref>.
Abstract
The notion of a parabolically semistandard tableau is a generalisation of Young tableau, which explains combinatorial aspect of various Howe dualities of type A. We prove a Jacobi-Trudi type formula for the character of parabolically semistandard tableaux of a given generalised partition shape by using non-intersecting lattice paths.
Abstract
In this paper, a boundary version of Schwarz lemma is investigated. For the function holomorphic f(z) = a + c<sub>p</sub>z<sup>p</sup> + c<sub>p</sub>+<sub>1</sub>z<sup>p+1</sup> + ... defined in the unit disc satisfying |f(z) − 1| < 1, where 0 < a < 2, we estimate a module of angular derivative at the boundary point b, f(b) = 2, by taking into account their first nonzero two Maclaurin coefficients. The sharpness of these estimates is also proved.
Abstract
Let T be a bounded linear operator on a complex Hilbert space H. For a positive integer k, an operator T is said to be a k-quasi-2-isometric operator if T<sup>∗k</sup>(T<sup>∗2</sup>T<sup>2</sup> − 2T<sup>∗</sup>T + I)T<sup>k</sup> = 0, which is a generalization of 2-isometric operator. In this paper, we consider basic structural properties of k-quasi-2-isometric operators. Moreover, we give some examples of k-quasi-2-isometric operators. Finally, we prove that generalized Weyl’s theorem holds for polynomially k-quasi-2-isometric operators.
Abstract
In <xref>[41]</xref>, Th.M. Rassias proved that the norm defined over a real vector space V is induced by an inner product if and only if for a fixed positive integer l <graphic></graphic> holds for all x<sub>1</sub>, ⋯ , x<sub>2l</sub> ∈ V . For the above equality, we can define the following functional equation <graphic></graphic> Using the fixed point method, we prove the Hyers-Ulam stability of the functional equation (0.1) in fuzzy Banach spaces.
Abstract
In this paper, we show the effectiveness of copulas by comparing the correlation of market data of year 2010 with those of years 2006-2009 and investigate copula functions as pricing methods of digital and rainbow options through real market data. We propose an accurate method of pricing rainbow options by using the correlation coefficients obtained from the copula functions depending on strike prices between assetes instead of simple traditional correlation coefficients.