Abstract The equilibrium problem for an elastic body having inhomogeneous inclusion with curvilinear boundaries is considered within the framework of antiplane shear. We assume that there a power-law dependence shear modulus on small parameter characterizing its width. justify passage to limit as vanishes and construct asymptotic model containing thin inclusion. also show that, depending expone...

The purpose of this paper is to study a split hierarchical monotone variational inclusion problem which includes split variational inequality problems, split common fixed point problems, split monotone variational inclusion problems, split convex minimization problems, etc., as special cases, and fixed point problems for nonexpansive semigroup in the setting of Hilbert spaces. For solving this ...

We study maximal monotone inclusions from the perspective of (convex) gap functions. We propose a very natural gap function and will demonstrate how this function arises from the Fitzpatrick function — a convex function used effectively to represent maximal monotone operators. • This approach allows us to use the powerful strong Fitzpatrick inequality to analyse solutions of the inclusion. – We...

Let p1 ≤ p2 and consider estimating a fixed set {x : p1 ≤ f(x) ≤ p2} by the random set {x : p1 ≤ f̂n(x) ≤ p2}, where f̂n is a consistent estimator of the continuous function f . This paper gives consistency conditions for these sets, and provides a new method to construct confidence regions from empirical averages of sets. The method can also be used to construct confidence regions for sets of th...

Access controls ensure that all direct accesses to objects are authorized by means of user identification. However, in some scenarios it is also necessary to continuously check the identity of the user in order to avoid malicious behaviors such as person exchanges immediately after the initial authentication phase. Aim of this work is to propose a methodology based on a balanced mix of strong a...

The distribution of an inhomogeneous Wiener process is determined by the mean function m(t) ss EW(t) and the variance function b(t) = V^(W(t)) which depend on unknown parameter d _ 0 . Observations are assumed to be in discrete time points where the sample size tends to infinity. Using the general theory of Ibragimow, Hasminskij [2] sufficient conditions for consistency of MLE i?n are establish...