Existence of fixed point in orthogonal metric spaces has been initiated recently by Eshaghi and et al. [On orthogonal sets and Banach fixed Point theorem, Fixed Point Theory, in press]. In this paper, we introduce the notion of the strongly orthogonal sets and prove a genuine generalization of Banach' fixed point theorem and Walter's theorem. Also, we give an example showing that our main theor...

this paper presents an operational formulation of the tau method based upon orthogonal polynomials by using a reduced set of matrix operations for the numerical solution of nonlinear multi-order fractional differential equations(fdes). the main characteristic behind the approach using this technique is that it reduces such problems to those of solving a system of non-linear algebraic equations....

Many applications of machine learning on discrete domains, such as preference functions in recommender systems or auctions, can be reduced to estimating a set function that is sparse the Fourier domain. In this work, we present new family algorithms for Fourier-sparse functions. They require at most nk − k log + queries (set evaluations), under mild conditions coefficients, where n size ground ...

In this article we analyze some residual-based stabilization techniques for the transient Stokes problem when considering anisotropic time-space discretizations. We define an anisotropic time-space discretization as a family of time-space partitions that does not satisfy the condition h ≤ Cδt with C uniform with respect to h and δt. Standard residual-based stabilization techniques are motivated...

Tasks can be classi ed as either periodic which execute every some time units or vice versa as aperiodic. Sporadic tasks are a special case of aperiodic tasks which are guaranteed to have a minimum spacing between consecutive instances of the same task. Sporadic tasks sets can be handled by modeling them as periodic tasks and therefore we will concentrate on the former two types of tasks. Sched...

Suppose that A is a C^*-algebra. We consider the class of A-linear mappins between two inner product A-modules such that for each two orthogonal vectors in the domain space their values are orthogonal in the target space. In this paper, we intend to determine A-linear mappings that preserve orthogonality. For this purpose, suppose that E and F are two inner product A-modules and A+ is the set o...