The Weyl anomaly in the Holographic Renormalisation Group as implemented using Hamilton–Jacobi language is studied in detail. We investigate the breakdown of the descent equations in order to isolate the Weyl anomaly of the dual field theory close to the (UV) fixed point. We use the freedom of adding finite terms to the renormalised effective action in order to bring the anomalies in the expect...

This paper deals with almost periodic Hematopoiesis dynamic equation on time scales. By applying a novel method based on the fixed point theorem of decreasing operator, we establish sufficient conditions for the existence of unique almost periodic positive solution. Particularly, we give iterative sequence which converges to the almost periodic positive solution. Moreover, we investigate global...

One new solving expression is built for Nizhnik-Novikov-Veselov system in the paper. Through corresponding auxiliary equation arrangement, more than 150 analytical solutions of elementary and Jacobi elliptic functions are obtained so that the NNV system has a wider range of physical meaning. At the same time, the existence and uniqueness of this systematic solution are discussed by fixed point ...

Fixed point equations x = f(x) over ω-continuous semirings can be seen as the mathematical foundation of interprocedural program analysis. The sequence 0, f(0), f(0), . . . converges to the least fixed point μf . The convergence can be accelerated if the underlying semiring is commutative. We show that accelerations in the literature, namely Newton’s method for the arithmetic semiring [4] and a...

The purpose of this paper is to introduce the concept of fuzzy variational-like inequalities and to study the existence problem and the iterative approximation problem for solutions of certain kinds of fuzzy variational-like inequalities in Hilbert spaces. By using the general auxiliary principle technique, Ky Fan’s KKM theorem, Nadler’s fixed point theorem, and some new analytic techniques, so...

This paper deals with solvability of the following functional equation arising in dynamic programming of multistage decision processes f(x) = opt y∈D { u(x, y)(p(x, y) + f(a(x, y))) + v(x, y) opt{q(x, y), f(b(x, y))} } , ∀x ∈ S. Using the Banach fixed point theorem and new iterative techniques, we obtain the existence and uniqueness of solutions for the above equation in the complete metric spa...

In the present paper, we deal with two different existence results of solutions for a nonlocal elliptic Dirichlet boundary value problem involving p(x)-Laplacian. The first one is based on the Brouwer fixed point theorem and the Galerkin method which gives a priori estimate of a nontrivial weak soltion. The second one is based on the variational methods. By using Mountain-Pass theorem, we obtai...

we de ne approximate xed point in fuzzy norm spaces and prove the existence theorems, we also consider approximate pair constructive map- ping and show its relation with approximate fuzzy xed point.

The split common fixed-point problem is an inverse problem that consists in finding an element in a fixed-point set such that its image under a bounded linear operator belongs to another fixed-point set. In this paper, we propose a new algorithm that is completely different from the existing algorithms. Under standard assumptions, we establish a weak convergence theorem of the proposed algorith...

In this paper, we proved that if a random Mann iteration scheme is defined by two random operators is convergent under some contractive inequality the limit point is a common fixed point of each of two random operators in Banach space.