In 2006, Espinola and Kirk made a useful contribution on combining fixed point theoryand graph theory. Recently, Reich and Zaslavski studied a new inexact iterative scheme for fixed points of contractive and nonexpansive multifunctions. In this paper, by using  the main idea of their work and the idea of combining fixed point theory on intuitionistic fuzzy metric spaces and graph theory, ...

There are two established ways to introduce geometric control in the category of free modules—the bounded control and the continuous control at infinity. Both types of control can be generalized to arbitrary modules over a noetherian ring and applied to study algebraic K-theory of infinite groups. This was accomplished for bounded control in part I of the present paper and the subsequent work o...

Let D be a uniform discrete subgroup of a simply connected, connected nilpotent Lie group (i.e. N D N D ... DN D N = e,N = [N,N*] andN/Dis compact). There is a unique normalised "Haar" measure m on N/D which is preserved by left translations. Let A ; N -> N, AD C D be an automorphism and let a E N. Then T(xD) = aAxD is called an affine transformation of the nilmanifold N/D. If etEN is a one-par...

We present some explicit computations checking a particular form of gradient formula for a boundary beta function in two-dimensional quantum field theory on a disk. The form of the potential function and metric that we consider were introduced in [16], [18] in the context of background independent open string field theory. We check the gradient formula to the third order in perturbation theory ...