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1

The equivalence of convergence results between modified Ishikawa and modified Mann iterations

Mogbademu A. A., Kim J. K.

Fasciculi Mathematici

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2019

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nr 62

93--102

EN

In [11], the author discussed a new class of nearly weak uniformly L-Lipschitzian mappings and prove some strong convergence results of the modified Ishikawa iteration with errors in real Banach spaces. And the author has given the open problem as follows: Are there any difference on convergence between the Mann iteration and Ishikawa iteration? Can we prove the equivalence on convergence between these two iterations? In this paper, we given an affirmative answer to the open problem.

2

Approximation solvability for a system of implicit nonlinear variational inclusions with H-monotone operators

Kim J. K., Bhat M. I.

Demonstratio Mathematica

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2018

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Vol. 51, nr 1

241--254

EN

In this paper, we introduce and study a new system of variational inclusions which is called a system of nonlinear implicit variational inclusion problems with A-monotone and H-monotone operators in semi-inner product spaces. We define the resolvent operator associated with A-monotone and H-monotone operators and prove its Lipschitz continuity. Using resolvent operator technique, we prove the existence and uniqueness of solution for this new system of variational inclusions. Moreover, we suggest an iterative algorithm for approximating the solution of this system and discuss the convergence analysis of the sequences generated by the iterative algorithm under some suitable conditions.

3

Effect Of Carbon Nanotubes On The Properties Of Spark Plasma Sintered ZrO2/CNT Composites

Shim D. H., Jung S. S., Kim H. S., Cho H., Kim J. K., Kim T. G., Yoon S. J.

Archives of Metallurgy and Materials

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2015

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Vol. 60, iss. 2B

1315--1318

EN

Zirconia matrix ZrO2/CNT composite materials reinforced with multiwall carbon nanotubes were fabricated using a spark plasma sintering technique. The effects of the amount of CNTs addition, sintering temperature and sintering pressure on the properties of the resulting ZrO2/CNT composites were examined. 0 to 9 vol. % CNTs were dispersed in zirconia powder, and the resulting mixture was sintered. The electrical conductivity, hardness, flexural strength, and density were measured to characterize the composites. The friction and wear properties of the composites were also tested. The flexural strength and friction coefficient of the composites were improved with up to 6 vol.% of CNT addition and the flexural strength showed a close relationship with the relative density of the composite. The electrical conductivity increased with increasing proportion of the CNTs, but the efficiency was reduced at more than 6 vol.% CNTs.

4

On the convergence of the method of lines for quasi-nonlinear functional evolutions in Banach spaces

Jin B. J., Kim J. K.

Journal of Applied Analysis

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2000

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Vol. 6, nr 1

105-127

EN

This paper is concerned with the existence of global limit solutions for the quasi-nonlinear functional evolution problem x`∈ A(t, xt) x+ G(t, xt, Ltx),t ∈ [0,T], (FDE, φ) x0=φ, where A(t, ψ 1) and G(t , ψ 1,Lt ψ 2) are defined, with respect to ψ 1, on a subspace of the space PC([-r, 0],X) of all piecewise continuous functions f : [--r, 0] → X. An appropriate subspace of PC([--r, t],X) is the domain of definition of the nonlinear operators Lt, t ∈ [0,T]. The operators A(t, ψ)x are w-dissipative and Lipschitz - like in (t, ψ ) which are more general conditions than those of Karsatos-Liu. The operators G and Lt are Lipschitzian mappings on their respective domains. Moreover, we investigate the uniqueness and strong solution for such problem.

5

Application of tsh bioindicator for studying the biological efficiency of radiation

Cebulska-Wasilewska A., Rękas K., Kim J.K.

Nukleonika

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1999

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Vol. 44, nr 1

15-30

EN

The effectiveness of neutrons from a californium-252 source in the induction of various abnormalities in the Tradescantia clone 4430 stamen hair cells (TSH-assay) was studied. Special attention was paid to check whether any enhancement in effects caused by the process of boron neutron capture is visible in the cells enriched with boron ions. Two chemicals (borax and BSH) were applied to introduce boron-10 ions into cells. Inflorescences, normal or pretreated with chemicals containing boron, were irradiated in the air with neutrons from the 252 Cf source at KAERI, Taejon, Korea. To estimate the relative biological effectiveness (RBE) of the beam under the study, Tradescantia inflorescences without chemical pretreatment were irradiated with various doses of X-rays. The ranges of radiation doses used for neutrons were 0-0.1 Gy and for X-rays 0-0.5 Gy. After time needed to complete the postirradiation repair Tradescantia cuttings were transferred to Krakow, where screening of gene and lethal mutations in somatic cells of stamen hairs have been done, and dose response relationships were plotted. In two independent experimental studies an alteration of dose-response curves was observed, probably due to slight changes in the postexposure plant treatment. However, it has not resulted in the change of the maximal RBE values, which for the induction of gene mutations were estimated as 5.6 in the pilot studies, and 5.8 one year later. Inflorescences pretreated with borax and BSH responded to neutrons differently. The values of RBE have changed from 5.6 to 7.9 in the case of plants pretreated with 240 ppm of B-10 from borax, and 5.8 to 7.2 in the case of 400 ppm of B-10 from BSH. The results showed an increase, although statistically insignificant, in biological efficiency of radiation from the 252 Cf source in the samples pretreated with boron containing chemicals.

PL

Oszacowano skuteczność jonów ze źródła 252 Cf w indukowaniu mutacji genowych w komórkach pręcików Tradescantia (klonu 4430). Sprawdzono także czy proces wychwytu neutronów powoduje widoczny wzrost efektu w komórkach kwiatostanów traktowanych związkami boru przed napromieniowaniem neutronami. W doświadczeniu użyto dwa związki wprowadzające jony 10 B do komórek: boraks i BSH. Kwiatostany normalne oraz traktowane związkami boru były napromieniowane neutronami ze źródła 252 Cf w KAERI, Taejon, Korea. W celu oszacowania względnej skuteczności biologicznej (RBE) kwiatostany Tradescantia napromeniowano różnymi dawkami promieniowania rentgenowskiego. Zakresy dawek wynosiły: 0-0.1 Gy w przypadku neutronów i 0-0.5 Gy w przypadku promieniowania rentgenowskiego. Po czasie potrzebnym na naprawę popromienną rośliny przetransportowano do Krakowa, gdzie badano mutacje genowe i letalne w komórkach somatycznych, oraz wyznaczono zależności dawka-efekt. Maksymalne wartości RBE (5.6-5.8) szacowane w oparciu o współczynniki nachylenia krzywych dawka-efekt zależne były od różnych warunków po napromienieniu. W pracy przedstawiono analizę zmiany parametrów opisujących procesy komórkowe. Uzyskane rezultaty wykazują niewielki, statystycznie nieznaczący wzrost skuteczności biologicznej źródła 252 Cf w komórkach roślin traktowanych związkami zawierającymi bor. Wartości RBE zmieniały sie od 5.6 do 7.9 w przypadku roślin traktowanych boraksem (240 ppm 10B) i od 5.8 do 7.2 w przypadku BSH (400 ppm 10B).