Belief propagation (BP) is an iterative method to perform approximate inference on arbitrary graphical models. Whether BP converges and if the solution is a unique fixed point depends on both, the structure and the parametrization of the model. To understand this dependence it is interesting to find all fixed points. In this work, we formulate a set of polynomial equations, the solutions of whi...

and Applied Analysis 3 Clearly, if the semigroup S(t) (t ≥ 0) is positive, then, by the definitions, the operators U(t) and V(t) are also positive for all t ≥ 0. The following lemma follows from the results in [14, Lemma 2.9] and [15, Lemmas 3.2–3.5]. Lemma 6. The operators U(t) and V(t) have the following properties. (i) For any fixed t ≥ 0 and any x ∈ Xα, one has ‖U(t)x‖α ≤ M‖x‖α, ‖V(t)x‖α ≤ ...

in this paper, we study sufficient conditions for existence and uniqueness of solutions of three point boundary vale problem for p-laplacian fractional order differential equations. we use schauder's fixed point theorem for existence of solutions and concavity of the operator for uniqueness of solution. we include some examples to show the applicability of our results.

We proved that the modified implicit Mann iteration process can be applied to approximate the fixed point of strictly hemicontractive mappings in smooth Banach spaces.

In this work, we first introduce the concept of approximate sequence and establish some new convergence theorems for approximate sequences. By applying our new convergence theorems, we obtain new best proximity point theorems which improve and generalize some known results in the literature. As applications, some simultaneous generalizations of common fixed point theorems of Banach type, Kannan...

In this project, we study proximity problems in high dimensional space. We give efficient algorithms in the data stream model that compute an approximation of the Minimum Enclosing Ball and diameter of a point set. We also give a simple insertion only data sructure that answers approximate farthest point queries.

there are some reports about development of prenatal ruminants' testis. but there is not any report about it in goat; so the present study was performed on 23 goats fetuses collected from ahvaz slaughterhouse. after measuring fetuses crown rump length (crl), their approximate ages were determined. on the basis of the crl, the fetuses were divided into 6 groups. then testes were extruded ou...