We provide a new approach to the Hutchinson-Barnsley theory for idempotent measures first presented in Mazurenko and Zarichnyi (2018) [24]. The main feature developed here is metrization of space using embedding fuzzy sets. metric obtained induces topology stronger than canonical pointwise convergence topology. A key result existence bijection between sets conjugation Markov operator an IFS on ...

In constrast to discretized space-time approximations to continuum quantum field theories, discretized velocity space approximations to continuum quantum field theories are investigated. A fourmomentum operator is given in terms of bare fermion-antifermionboson creation and annihilation operators with discrete indices. In continuum quantum field theories the fermion-antifermion creation and ann...

this paper presents characterizations of m-fuzzifying matroids bymeans of two kinds of fuzzy operators, called m-fuzzifying derived operatorsand m-fuzzifying difference derived operators.

0 While the model theory for contraction operators (cf. [4]) is always a useful tool, it is particularly powerful when dealing with C 0 (1) operators. Recall that an operator T on a Hilbert space H is a C 0 (N)-operator (N = 1, 2. . .) if T ≤ 1, T n → 0 and, T n → 0 (strongly) when n → ∞ and rank(1 − T * T) = N. In particular, a C 0 (1) operator is unitarily equivalent to the compression of the...

Let H be a real Hilbert space, C a nonempty closed convex subset of H , and T : C → C a mapping. Recall that T is nonexpansive if ‖Tx−Ty‖ ≤ ‖x− y‖ for all x, y ∈ C. A point x ∈ C is called a fixed point of T provided Tx = x. Denote by F(T) the set of fixed points of T , that is, F(T) = {x ∈ C : Tx = x}. Recall that a self-mapping f : C → C is a contraction on C, if there exists a constant α∈ (0...

One of the most widely used methods for solving average cost MDP problems is the value iteration method. This method, however, is often computationally impractical and restricted in size of solvable MDP problems. We propose acceleration operators that improve the performance of the value iteration for average reward MDP models. These operators are based on two important properties of Markovian ...

This paper is concerned with uniform large deviation principles of fractional stochastic reaction-diffusion equations driven by additive noise defined on unbounded domains where the solution operator non-compact and hence result [32] does not apply. The nonlinear drift assumed to be locally Lipschitz continnous instead being globally continuous. We first prove a principle for linear equation we...

we characterize compact composition operators on real banach spaces of complex-valued bounded lipschitz functions on metric spaces, not necessarily compact, with lipschitz involutions and determine their spectra.

Abstract In open quantum systems, the Zeno effect consists in frequent applications of a given operation, e.g., measurement, used to restrict time evolution (due, for example, decoherence) states that are invariant under operation. an abstract setting, sequence is alternating concatenation contraction operator (quantum operation) and $$C_0$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/Math...