‎in this paper, based on [a. razani, v. rako$check{c}$evi$acute{c}$ and z. goodarzi, nonself mappings in modular spaces and common fixed point theorems, cent. eur. j. math. 2 (2010) 357-366.] a fixed point theorem for non-self contraction mapping $t$ in the modular space $x_rho$ is presented. moreover, we study a new version of krasnoseleskii's fixed point theorem for $s+t$, where $t$ is a cont...

In this paper, the two-stage procedure is considered for autoregressive parameters estimation in the p-order autoregressive model ( AR(p)). The point estimation and fixed-size confidence ellipsoids construction are investigated which are based on least-squares estimators. Performance criteria are shown including asymptotically risk efficient, asymptotically efficient, and asymptotically consist...

Let (X, d, T ) be a dynamical system, where (X, d) is a compact metric space and T : X → X a continuous map. We introduce two conditions for the set of orbits, called respectively g-almost product property and uniform separation property. The g-almost product property holds for dynamical systems with the specification property, but also for many others. For example all β-shifts have the g-almos...

expansive soils undergo volumetric changes in response to changes in their moisture content that this characteristic causes irreparable problems particularly in civil projects. investigators have proposed chemical methods as well as mechanical treatments to stabilize the expansive soils. in this study, stabilization of expansive soil with randomly distributed fiber was investigated by reinforci...

*Correspondence: [email protected] 2College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, 650221, China Full list of author information is available at the end of the article Abstract In this paper, a new nonlinear mapping, asymptotically strict quasi-φ-pseudocontraction in the intermediate sense, is introduced. Projection algorithms are considered for ...

The motion planning problems encountered in manipulation and legged locomotion have a distinctive multi-modal structure, where the space of feasible configurations consists of overlapping submanifolds of non-uniform dimensionality. These spaces do not possess expansiveness, a property that characterizes whether planning queries can be solved with traditional sample-based planners. We present a ...

We consider asymptotic orbit-counting problems for certain expansive actions by commuting automorphisms of compact groups. A dichotomy is found between systems with asymptotically more periodic orbits than the topological entropy predicts, and those for which there is no excess of periodic orbits. Let G be a countable group acting on some set X, with the action written x 7→ g.x. Let L = L(G) de...