Hybrid Proximal Point Algorithm and Applications to Equilibrium Problems and Convex Programming

The problem of finding minima of weakly sequentially lower semicontinuous functions on reflexive Banach spaces is studied by means of convex and nonconvex subdifferentials. Finding a descent direction for a non-stationary point is a question of importance for many optimization algorithms. The existence or non-existence of such a direction is clarified through several theorems and a series of selective examples. For the general problem, a notion called radius of descent is proposed and shown to be useful for the analysis related to descent directions.     

Controlled removal of overpainting and painting layers under the action of UV laser radiation

Laser material removal applied to selective overpaintings and subsequent painting layers detachment was studied in order to select the best cleaning practice of painted artworks. The ablation depth as a function of incident laser fluence/intensity and irradiation pulse number was considered as a reference parameter. We have measured the ablation depth with both a contact microprofilometer and a white light interferometer as a function of laser irradiation parameters. The measurements have evidenced that the ablation depth in our experiments varied between 2 and 100 μm making possible selective removal of painting.     

Synthesis of doubly labeled polyacrylic acid with14C and3H

Polyacrylic hydrogels were¹⁴C- and³H-labeled in three main steps. In the first one, the monomer as sodium salt was¹⁴C-labeled at the carboxyl group via the carbonation of vinylmagnesium bromide and [1-¹⁴C]acrylic acid was obtained, followed by labeling with tritium via isotopic exchange in heterogeneous catalysis. The monomer was purified and its radiochemical purity was analyzed using TLC. In the last step, the hydrogel was obtained through radiopolymerization of the doubly labeled monomer using a⁶⁰Co source. The oligomers and unpolymerized monomers were eliminated from the hydrogel by swelling in water followed by dehydration with methanol.     

Scientific investigations of the Imperial Gates from the Petrindu wooden church,Salaj County,Romania

In order to preserve and restore the Imperial Gates from the Petrindu wooden church, Salaj County, Romania, (map location—latitude, longitude: 46.97, 23.19), the scientific investigation of the wooden support and painting materials (ground and pigments) was performed, employing Fourier‐transform infrared spectroscopy (FTIR), X‐ray fluorescence spectroscopy, and 3D scanning. FTIR spectroscopy offered information about the wooden degradation stage, whereas X‐ray fluorescence and FTIR spectroscopic methods were employed for structural painting materials characterization. The structural data can be correlated with the artistic, theological, and historical analysis of this religious patrimony object. After obtaining information about the wooden support and painting materials, the Imperial Gates were 3D digitized using state of the art laser scanning technology. The digital 3D model obtained was restored in a virtual environment and converted into an interactive 3D model that can be used for Romanian cultural heritage digital dissemination.     

Planar Chromatographic and Electrophoretic Study of Thermally Induced Conformational Modifications of Protein Structure

JPC – Journal of Planar Chromatography – Modern TLC -     

Comparison of Young's modulus and specific heat anomalies at the magnetic transition in α′-NaV2O5

We have measured Young's modulus (using a vibrating reed technique) and the specific heat (using ac calorimetry) on the same crystals of α′-NaV₂O₅ at its T_c=34 K magnetic phase transition. Both properties exhibit large, unsymmetrical, and sample-dependent anomalies. While the specific heat results suggest tricritical behavior of the transition, large fluctuation effects are observed in the modulus above T_c. Fits of the modulus in terms of the specific heat, entropy, and free energy suggest that fluctuations are strongly stress- and sample-dependent.     

Approximate weak invariance for semilinear differential inclusions in Banach spaces

In this paper we give a criterion for a given set K in Banach space to be approximately weakly invariant with respect to the differential inclusion x′(t) ∈ Ax(t) + F(x(t)), where A generates a C ₀-semigroup and F is a given multi-function, using the concept of a tangent set to another set. As an application, we establish the relation between approximate solutions to the considered differential inclusion and solutions to the relaxed one, i.e., x′(t) ∈ Ax(t) + [`(co)]\overline {co} F(x(t)), without any Lipschitz conditions on the multi-function F.     

Synthesis of [1,2-T2]-nandrolon for RIA kits

Nandrolon is an androgenic growth promoter. This anabolic substance can be used for accelerating the increase of animal body mass. This steroid is used also in the therapy of animals like cattle, sheep or hogs and it can be found as residuum in the animal body. In a lot of countries this therapy is used abusively and, as result, results in a high level of residuals in different food stuffs such as beef and pork meat and veal liver. Because of these potential health damages it is important to monitor the food concerning the hormonal residuals. Due to their very low concentration in animal products, these chemical compounds can be determined only using ELISA and RIA immunochemical analysis techniques. In this paper, we describe the methods of obtaining tritium-labeled nandrolone for RIA kits production.     

Some results on multi-valued weakly jungck mappings in <Emphasis Type="Italic">b</Emphasis>-metric space

In this paper, the concept of multi-valued weak contraction of Berinde and Berinde [8] for the Picard iteration in a complete metric space is extended to the case of multi-valued weak contraction for the Jungck iteration in a complete b-metric space. While our main results generalize the recent results of Berinde and Berinde [8], they also extend, improve and unify several classical results pertainning to single and multi-valued contractive mappings in the fixed point theory. Our results also improve the recent results of Daffer and Kaneko [16].      

Some common fixed point theorems for selfmappings satisfying two contractive conditions of integral type in a uniform space

In this paper, we establish some common fixed point theorems for selfmappings of a uniform space by employing both the concepts of an A—distance and an E—distance introduced by Aamri and El Moutawakil [1] and two contractive conditions of integral type. Our results are generalizations and extensions of the classical Banach’s fixed point theorem of [2, 3, 19], some results of Aamri and El Moutawakil [1], Theorem 2.1 of Branciari [5] as well as a result of Jungck [7].