In this paper we present new iterative algorithms in convex metric spaces. We show that these iterative schemes are convergent to the fixed point of a single-valued contraction operator. Then we make the comparison of their rate of convergence. Additionally, numerical examples for these iteration processes are given.

‎In this paper‎, ‎we study weighted composition operators between Lipschitz algebras of complex-valued bounded functions on metric spaces‎, ‎not necessarily compact‎. ‎We give necessary and sufficient conditions for the injectivity and the surjectivity of these operators‎. ‎We also obtain sufficient and necessary conditions for a weighted composition operator between these spaces to be compact.

Abstract The main purpose of this article is to establish some new characterizations the (variable) Lipschitz spaces in terms boundedness commutator multilinear fractional Calderón-Zygmund integral operators context variable exponent Lebesgue spaces. authors do so by applying techniques Fourier series and operator, as well pointwise estimates for commutators. key tool obtaining such a estimate ...

In this paper we discuss a model of quantum computer in which a state is an operator of density matrix and gates are general quantum operations, not necessarily unitary. A mixed state (operator of density matrix) of n two-level quantum systems is considered as an element of 4n-dimensional operator Hilbert space (Liouville space). It allows to use a quantum computer model with four-valued logic....

The evaluation is an important approach to promote the development of the E-Government. Since the rapid development of E-Government in the world, the E-Government performance evaluation has become a hot issue in the academia. In this paper, we develop a new evaluation method for the development of the E-Government based on the interval-valued intuitionistic fuzzy set which is a powerful techniq...

In this paper we generalize the usual model of quantum computer to a model in which the state is an operator of density matrix and the gates are general superoperators (quantum operations), not necessarily unitary. A mixed state (operator of density matrix) of n twolevel quantum system (open or closed n-qubit system) is considered as an element of 4dimensional operator Hilbert space (Liouville ...

Abstract In this article, we study the Bohr operator for operator-valued subordination class $S(f)$ consisting of holomorphic functions subordinate to f in unit disk $\mathbb {D}:=\{z \in \mathbb {C}: |z|<1\}$ , where $f:\mathbb {D} \rightarrow \mathcal {B}(\mathcal {H})$ is and $\mathcal algebra bounded linear operators on a complex Hilbert space {H}$ . We establish several results, which c...

This paper proposes a group decision making method based on entropy of neutrosophic linguistic sets and generalized single valued neutrosophic linguistic operators. This method is applied to solve the multiple attribute group decision making problems under single valued neutrosophic liguistic environment, in which the attribute weights are completely unknown. First, the attribute weights are ob...

For a square integrable vector-valued process f on the Loeb product space, it is shown that vector orthogonality is almost equivalent to componentwise scalar orthogonality. Various characterizations of almost sure uncorrelatedness for f are presented. The process f is also related to multilinear forms on the target Hilbert space. Finally, a general structure result for f involving the biorthogo...