The contraction processes of metal-free molecular clouds of starlike mass (or cloud cores) are investigated. We calculate radiative transfer of the H2 lines and examine quasi-static contraction with radiative cooling. Comparing two time-scales, the free-fall time tff and the time-scale of quasi-static contraction tqsc (∼ tcool, the cooling time) of these cores, we find that the ratio of the two...

Abstract In this paper we introduce some new types of contractive mappings by combining Caristi contraction, ?iri?-quasi contraction and weak in the framework a metric space. We prove fixed point theorems for such type over complete spaces with help ? -diminishing property. Some examples are given strengthening hypothesis our established theorems.

In this paper, we introduce a new sequential space as generalization of M − metricspaces and b metric spaces. generalized define two contractive mappings namely m contraction quasi-contraction prove some fixed point theorems for such type mappings. Several illustrative examples have been presented in strengthening the hypothesis our theorems.

As a generalization to Banach contraction principle, ´ Ciri´c introduced the concept of quasi-contraction mappings. In this paper, we investigate these kinds of mappings in modular function spaces without the Δ 2-condition. In particular, we prove the existence of fixed points and discuss their uniqueness.

This paper deals with the Bayesian estimation of high dimensional Gaussian graphical models. We develop a quasi-Bayesian implementation of the neighborhood selection method of Meinshausen and Buhlmann (2006) for the estimation of Gaussian graphical models. The method produces a product-form quasiposterior distribution that can be efficiently explored by parallel computing. We derive a non-asymp...