We present a compositional method which allows to overapproximate the set of attractors and under-approximate the set of basins of attraction of a Boolean network (BN). This merely consists in replacing a global fixed-point computation by a composition of local fixedpoint computations. Once these approximations have been computed, it becomes much more tractable to generate the exact sets of att...

Fixed-point simulation results are used for the performance measure of inverting matrices by Cholesky decomposition. The fixed-point Cholesky decomposition algorithm is implemented using a fixed-point reconfigurable processing element. The reconfigurable processing element provides all mathematical operations required by Cholesky decomposition. The fixed-point word length analysis is based on s...

We introduce methods which seem to be a new and promising tool in hierarchical fixedpoint problems. The goal of this note is to analyze the convergence properties of these new types of approximating methods for fixed-point problems. The limit attained by these curves is the solution of the general variational inequality, 0 ∈ (I −Q)x∞ +NFixP(x∞), where NFixP denotes the normal cone to the set of...

In this paper, we devote to investigation of the existence of positive solutions for the boundary value problem of nonlinear fractional differential equations { D0+u(t)+ f (t,u(t)) = 0, 0 < t < 1, u(0) = u′(0) = · · ·u(n−2)(0) = D0+u(1), where D0+ , D β 0+ are the standard Riemann-Liouville fractional derivative, n− 1 < α n , n−2 β n−1 , n 3 . By means of constructing an exact cone of the Banac...

Translation planes of order q and kernel containing KGGFðqÞ admitting fixedpoint-free collineation groups GK , each of whose point orbits is the set of nonzero vectors of a 2-dimensional K-subspace, are shown to permit spread-retraction and produce either Baer subgeometry or mixed partitions of a corresponding projective space. When the same translation plane or spread produces a number of part...

In this paper, we give two unique common coupled fixed point theorems for mappings satisfying a generalized condition in d-complete topological spaces. 1 Department of Applied Mathematics, Acharya Nagarjuna University-Dr.M.R.Appa Row Campus, Nuzvid-521 201,Andhra Pradesh,India E-mail address: [email protected],[email protected] 2 Department of Mathematics, Atilim University 06836, İncek, Anka...

G-protein-coupled receptors (GPCRs) are a large family of proteins that contain a seven transmembrane helical structural motif. They mediate responses to several ligands by binding and activating intracellular heterotrimeric G proteins. Since the cloning of the first GPCR, insights gained from structure-function studies, genetics and drug development have contributed to uncovering a common mech...