In this paper, we first introduce the new notion of rational cyclic contraction and then establish some convergence theorems of best proximity points for two non-self mappings in the frame work of complete metric space. Our results generalized and improve some main results in the literature. An example is given to support our main results.

In this study, the internal energy and the specific heat of the one-dimensional Ising model obtained in the frame of the generalized statistical thermodynamics (GST) by R.F.S. Andrade (ref.[19]), have been extended somewhat and compared with the internal energy and the specific heat which have been calculated in the standard (conventional) statistical thermodynam-ics. In the q → 1 case, approac...

Abstract G-frames are generalized frames which include ordinary frames, bounded invertible linear operators, as well as many recent generalizations of frames, e.g., bounded quasi-projectors and frames of subspaces. G-frames are natural generalizations of frames and provide more choices on analyzing functions from frame expansion coefficients. We give characterizations of g-frames and prove that...

an experimental study is conducted on three ½ scales, single-story, single-bay, frame specimens. the first specimen was a reinforced concrete frame with solid-brick infill. the second specimen was a reinforced concrete frame with hollow clay perforated-brick infill. the last specimen was a reinforced concrete frame without any infill. these three specimens were tested by pseudostatic method. di...

The aim of this paper is to present a new framework for regularization by diffusion. The methods we develop in the sequel can be used to smooth multichannel images, multichannel image sequences (videos), vector fields and orthonormal frame fields in any dimension.1 From a mathematical viewpoint, we deal with vector bundles over Riemannian manifolds and socalled generalized Laplacians. Sections ...

Image restoration is one of the most important areas in imaging science. Mathematical tools have been widely used in image restoration, where wavelet frame based approach is one of the successful examples. In this paper, we introduce a generic wavelet frame based image restoration model, called the “general model”, which includes most of the existing wavelet frame based models as special cases....

Taking the Randall–Sundrum models as background scenario, we derive generalized Israel–Lanczos–Sen thin-shell junction conditions for systems in which several bulk scalar fields are non-minimally coupled to gravity. We demonstrate that the form of the junction conditions (though arguably not the physics) depends on the choice of frame. We show that generally (in any frame except the Einstein fr...

In this paper we show that if one writes down the structure equations for the evolution of a curve embedded in an n-dimensional Riemannian manifold with constant curvature this leads to a symplectic, a Hamiltonian and an hereditary operator. This gives us a natural connection between finite dimensional geometry, infinite dimensional geometry and integrable systems. Moreover one finds a Lax pair...

We consider fluid perturbations close to the ‘‘phantom divide’’ characterized by p and discuss the conditions under which divergencies in the perturbations can be avoided. We find that the behavior of the perturbations depends crucially on the prescription for the pressure perturbation p. The pressure perturbation is usually defined using the dark energy rest-frame, but we show that this frame ...

A mixture of reservation plus contention data slots is now widely implemented in TDMA/ CDMA systems to make a system flexible enough to suit various kinds of packets but preserve the good nature of frame-based protocols. We conducted performance analysis for an arbitrary connection in such a system under the assumption of MMPP (Markov-modulated Poisson process) arrivals. Accessible slot locatio...