Parametric generalized set-valued variational inclusions and resolvent equations

In this paper, we develop the sensitivity analysis for generalized set-valued variational inclusions and generalized resolvent equations. We establish the equivalence between the parametric generalized set-valued variational inclusions and parametric generalized resolvent equations, by using the resolvent operator technique without assuming the differentiability of the given data.     

Two-level iterative method for non-stationary mixed variational inequalities

We consider a mixed variational inequality problem involving a set-valued nonmonotone mapping and a general convex function, where only approximation sequences are known instead of exact values of the cost mapping and function, and feasible set. We suggest to apply a two-level approach with inexact solutions of each particular problem with a descent method and partial penalization and evaluation of accuracy with the help of a gap function. Its convergence is attained without concordance of penalty, accuracy, and approximation parameters under coercivity type conditions.     

Transition metal complexes of potassium dihydridobis-, hydridotris- and tetrakis-(thiophenolyl)borate anions

Summary The three new potential chelating ligands dihydridobis-, hydridotris- and tetrakis-(thiophenolyl)borate anions, and their chelates with first row transition metals have been synthesised. The divalent and trivalent metal ions form complexes in 12 and 13 (metal:ligand) ratios respectively. The number of ligands coordinated correspond to the number of anions replaced in the metal salis. The compounds were characterized by elemental analysis, i.r. spectra, magnetic susceptibility measurements and electronic spectral studies. The Cr^III and Fe^III complexes of dihydridobis- and hydridotris-(thiophenolyl)borates appear to be octahedral, and those of Cu^II are proposed to be square planar. Tetrahedral geometry is suggested for the Mn^II, Co^II and Ni^II complexes. The tetrakis-(thiophenolyl)borate yielded octahedral complexes with all the metal ions except for Cu^II which is square planar. The ligand field parameters 10Dq, B and have also been calculated wherever possible. The ligands may be placed in the vicinity of EDTA in the nephelauxetic series.     

New heterotrinuclear complexes containing copper(II) and a group IV metal

Summary Heterotrinuclear complexes of the type [Cu₂(TETA)₂Cl₄M] (M = Si, Ge, Sn, Ti and Zr; TETA = triethylene tetramine) have been prepared by direct reaction of [Cu[TETA)]Cl₂ with MCl₄ in a 21 ratio in MeOH. The compounds have been characterized by elemental analyses, e.s.r., electronic and i.r. spectra, magnetic susceptibility and conductivity measurements. The results indicate that [Cu(TETA)]Cl₂ is square planar and ionic, while its heterotrinuclear complexes, [Cu₂(TETA)₂Cl₄M], are covalent with an octahedral environment around the copper(II) ion.     

On Generalized Jordan Triple (α, β)*-Derivations and Related Mappings

Let R be a 2-torsion free semiprime *-ring and let α, β be surjective endomorphisms of R. The aim of the paper is to show that every generalized Jordan triple (α, β)*-derivation on R is a generalized Jordan (α, β)*-derivation. This result makes it possible to prove that every generalized Jordan triple (α, β)*-derivation on a semisimple H*- algebra is a generalized Jordan (α, β)*-derivation. Finally, we prove that every Jordan triple left α*-centralizer on a 2-torsion free semiprime ring is a Jordan left α*-centralizer.     

An Electrospun Nanofibrous Sensor Based on a Porous (Cr/Zn) Slats Oxide for Voltammetric Detection of Ezetimibe Drug in Real Samples

Herein, a series of bimetallic slats oxide nanofibers with different molar proportions of Cr: Zn were synthesized via the electrospinning method. Nanofibers with a molar proportion of (Cr: Zn=1: 2) [CrZn₃] demonstrated a large superficial area (123.3 m²/g) with minimal resistivity. A modulated carbon paste sensor (MCPS) constructed using 1.0 % of [CrZn₃] exhibited remarkable surface electrocatalytic activity for oxidation of ezetimibe drug and oxidation reduction of an electroactive probe (K₃[Fe(CN₆)]). Under optimized conditions, the limit of the detection of the obtained MCPS for ezetimibe in bulk form was 0.024 nmol L⁻¹ and its linear range was 0.08–1.5 nmol L⁻¹. The sensor also demonstrated good selectivity toward the drug in human medication and serum fluid.