We exploit the techniques developed in [Le] to study N -expansive homeomorphisms on surfaces. We prove that when f is a 2-expansive homeomorphism defined on a compact boundaryless surface M with nonwandering set Ω(f) being the whole of M then f is expansive. This condition on the nonwandering set cannot be relaxed: we present an example of a 2-expansive homeomorphisms on a surface with genus 2 ...

Upper bounds are given for the maximum period of periodic solutions of non-expansive mappings in the Banach space (IR n ; j j) with 1 < < 1. Basic in the derivation of these upper bounds are a theorem of Banach on rotations 2] and a geometric property of (IR n ; j j) for 6 = 2 5]. This paper provides a valid proof of a conjecture which appeared in 9]. Some remarks are made about what is diieren...

Video games, unlike traditional, non-digital games, are based on a combination of fixed rules which cannot be broken from the player position, and implied rules which are not enforced by the computer program. It is relatively common, however, for players to impose additional or alternative rules on video games, in order to refine or expand gameplay and to create new gaming experiences. This pap...

In this paper, we present the notion of θ−ϕ− expansive mapping in complete rectangular metric spaces and study various fixed point theorems for such mappings. The presented extend, generalize, improve many existing results literature.

Soil is naturally occurring material that is used for the construction of structures except the surface layers of pavements. This naturally occurring soil may not suit the design requirements of ongoing project. So, soil is to be prepared to meet the requirements called soil stabilization. Stabilization is the process of blending of different soils or mixing of additives to a soil to improve ch...

We show that a non-expansive action of a topological semigroup S on a metric space X is linearizable iff its orbits are bounded. The crucial point here is to prove that X can be extended by adding a fixed point of S, thus allowing application of a semigroup version of the Arens-Eells linearization, iff the orbits of S in X are bounded.

Abstract The expansive reach of US prosecutions addressing corporate and economic crimes has piqued the interest many commentators scholars. This is perhaps nowhere more evident than in enforcement Foreign Corrupt Practices Act (“FCPA”) against non-American corporations. adopted FCPA 1977 to ban payment bribes foreign public officials obtain a business advantage—decades before most other countr...

‎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...