• Journal of applied mathematics & informatics
• /
• v.24 no.1_2
• /
• pp.437-448
• /
• 2007

Suppose K is a nonempty closed convex nonexpansive retract of a real uniformly convex Banach space E with P as a nonexpansive retraction. Let $T_1,\;T_2\;and\;T_3\;:\;K{\rightarrow}E$ be nonexpansive mappings with nonempty common fixed points set. Let $\{\alpha_n\},\;\{\beta_n\},\;\{\gamma_n\},\;\{\alpha'_n\},\;\{\beta'_n\},\;\{\gamma'_n\},\;\{\alpha'_n\},\;\{\beta'_n\}\;and\;\{\gamma'_n\}$ be real sequences in [0, 1] such that ${\alpha}_n+{\beta}_n+{\gamma}_n={\alpha}'_n+{\beta'_n+\gamma}'_n={\alpha}'_n+{\beta}'_n+{\gamma}'_n=1$, starting from arbitrary $x_1{\in}K$, define the sequence $\{x_n\}$ by $$\{zn=P({\alpha}'_nT_1x_n+{\beta}'_nx_n+{\gamma}'_nw_n)\;yn=P({\alpha}'_nT_2z_n+{\beta}'_nx_n+{\gamma}'_nv_n)\;x_{n+1}=P({\alpha}_nT_3y_n+{\beta}_nx_n+{\gamma}_nu_n)$$ with the restrictions $\sum^\infty_{n=1}{\gamma}_n<\infty,\;\sum^\infty_{n=1}{\gamma}'_n<\infty,\; \sum^\infty_{n=1}{\gamma}'_n<\infty$. (i) If the dual $E^*$ of E has the Kadec-Klee property, then weak convergence of a $\{x_n\}$ to some $x^*{\in}F(T_1){\cap}{F}(T_2){\cap}(T_3)$ is proved; (ii) If $T_1,\;T_2\;and\;T_3$ satisfy condition(A'), then strong convergence of $\{x_n\}$ to some $x^*{\in}F(T_1){\cap}{F}(T_2){\cap}(T_3)$ is obtained.

• Journal of applied mathematics & informatics
• /
• v.30 no.3_4
• /
• pp.603-612
• /
• 2012

In this paper, we introduce and study the intuitionistic fuzzy prime (semi-prime) ${\Gamma}$-ideals of ${\Gamma}$-LA-semigroups and some interesting properties are investigated. The main result of the paper is: if $A={\langle}{\mu}_A,{\gamma}_A{\rangle}$ is an IFS in ${\Gamma}$-LA-semigroup S, then $A={\langle}{\mu}_A,{\gamma}_A{\rangle}$ is an intuitionistic fuzzy prime (semi-prime) ${\Gamma}$-ideal of S if and only if for any $s,t{\in}[0,1]$, the sets $U({\mu}_A,s)=\{x{\in}S:{\mu}_A(x){\geq}s\}$ and $L({\gamma}_A,t)=\{x{\in}S:{\gamma}_A(x){\leq}t\}$ are prime (semi-prime) ${\Gamma}$-ideals of S.

• Proceedings of the Korean Institute of Intelligent Systems Conference
• /
• 2001.05a
• /
• pp.34-37
• /
• 2001

Park et al. [Proc. KFIS Fall Conf. 10(2) (2000), 59-62] defined fuzzy ${\gamma}$-open sets by using an operation ${\gamma}$ on a fts (X, $\tau$) and investigated the related fuzzy topological properties of the associated fuzzy topology $\tau$/seb ${\gamma}$/ and $\tau$. As generalizations of the notion of fuzzy ${\gamma}$-closed sets, we define gf. ${\gamma}$-closed sets and g*f. ${\gamma}$-closed sets and study basic properties of these sets relative to union and intersection. Also, we introduce and study two classes of ftss called fuzzy ${\gamma}$-T* and fuzzy ${\gamma}$-T$_{1}$2/ spaces by using the notions of gf. ${\gamma}$-closed and g*f. ${\gamma}$-closed sets.

• Communications of the Korean Mathematical Society
• /
• v.19 no.2
• /
• pp.233-242
• /
• 2004

The aim of this note is to study properties of the generalized centroid of the semi-prime gamma rings. Main results are the following theorems: (1) Let M be a semi-prime $\Gamma$-ring and Q a quotient $\Gamma$-ring of M. If W is a non-zero submodule of the right (left) M-module Q, then $W\Gamma$W $\neq 0. Furthermore Q is a semi-prime $\Gamma$-ring. (2) Let M be a semi-prime $\Gamma$-ring and $C_{{Gamma}$ the generalized centroid of M. Then $C_{\Gamma}$ is a regular $\Gamma$-ring. (3) Let M be a semi-prime $\Gamma$-ring and $C_{\gamma}$ the extended centroid of M. If $C_{\gamma}$ is a $\Gamma$-field, then the $\Gamma$-ring M is a prime $\Gamma$-ring.

• Korean Journal of Plant Resources
• /
• v.25 no.1
• /
• pp.142-151
• /
• 2012

This study was carried out to evaluate genetic variation of early-heading rice (Oryza sativa L. cv. Dongjin 1) lines derived from gamma-ray ($^{60}Co$, 300 Gy) irradiation. The average heading date of the 5 early-heading lines in $M_7$ and $M_8$ generation was faster than that of untreated control as 11 (line ${\gamma}$-2), 10 (line ${\gamma}$-5), 6 (${\gamma}$-1 line), 5 (${\gamma}$-3) and 4 days (line ${\gamma}$-4), respectively. According to ISSR analysis, polymorphic rate of the early-heading lines (from 5.9% to 23.4%) was higher than that of control (4.3%). The result indicates that the gamma-ray promote variation at DNA level. When genetic variations of rps16-trnK region were evaluated by nucleotide analysis, nucleotide length of the rps16-trnK region was 664 bp in all the early-heading lines and control. Out of 5 sites of nucleotide transposition detected in the region, however, 2 sites were appeared only in the early-heading lines.

• Journal of Microbiology and Biotechnology
• /
• v.28 no.4
• /
• pp.527-533
• /
• 2018

This study compared the radioprotective effects of high-molecular-weight poly-gamma-glutamate (${\gamma}-PGA$, average molecular mass 3,000 kDa) and a reduced form of glutathione (GSH, a known radioprotector) on calf thymus DNA damage. The radiation-induced DNA damage was measured on the basis of the decreased fluorescence intensity after binding the DNA with ethidium bromide. All the experiments used $^{60}Co$ gamma radiation at 1,252 Gy, representing 50% DNA damage. When increasing the concentration of ${\gamma}-PGA$ from 0.33 to $1.65{\mu}M$, the DNA protection from radiation-induced damage also increased, with a maximum of 87% protection. Meanwhile, the maximal DNA protection when increasing the concentration of GSH was only 70%. Therefore, ${\gamma}-PGA$ exhibited significant radioprotective effects against gamma irradiation.

• Journal of Periodontal and Implant Science
• /
• v.33 no.4
• /
• pp.747-753
• /
• 2003

면역글로불린의 Fc 부분에 대한 수용기인 $Fc{\gamma}R$는 세균에 대한 인식, 결합과 포식작용과정에서 중요한 역할을 한다. 이 $Fc{\gamma}R$에서 $Fc{\gamma}R$IIa, $Fc{\gamma}R$IIIa, $Fc{\gamma}R$IIIb의 유전자 다형성이 치의학 분야에서 연구되고 있다. $Fc{\gamma}R$IIa에서는 두 번째 세포외 면역글로불린 유사 영역의 131번째 아미노산에서 아르기닌($Fc{\gamma}R$IIa-R131) 혹은 히스티딘($Fc{\gamma}R$IIa-H131)을 갖고 있으며, $Fc{\gamma}R$IIIa에서는 두번째 세포외 영역의 158번째 아미노산이 발린($Fc{\gamma}R$IIIa-158V) 혹은 페닐알라닌($Fc{\gamma}R$IIIa-158F)을 갖고 있다. $Fc{\gamma}R$IIIb에서는 첫 번째 세포외 면역글로불린 유사영역의 4개의 아미노산의 유전자 다형성으로 인해서 $Fc{\gamma}R$IIIb-NA1과 $Fc{\gamma}R$IIIb-NA2의 두가지 유전자 다형성을 보이고 있다. 이번 연구는 치주적으로 건강한 한국인에서 $Fc{\gamma}R$IIa, $Fc{\gamma}R$IIIa, $Fc{\gamma}R$IIIb에 대한 유전자형의 분포를 조사하고자 한 것으로 서울대학교 치과병원에 근무하는 치과의사, 치과위생사, 간호조무사 및 서울대학교 치과대학 4학년 학생 중 치주낭 깊이와 부착소실이 4mm 이하인 치주적으로 건강한 한국인 65명을 대상으로 하였다. $Fc{\gamma}R$IIa, $Fc{\gamma}R$IIIa, $Fc{\gamma}R$IIIb의 유전자 다형성은 분리한 DNA에 각 대립유전자에 특이성을 지닌 primer를 넣고 PCR(polymerase Chain Reaction)법을 이용하여 증폭시킨후 전기영동법을 이용하여 각 대립유전자의 존재를 확인함으로써 결정하였다. $Fc{\gamma}R$IIa의 유전자 다형성은 R/R131, R/H131, H/H131의 유전자형에 대하여 각각 7.7%, 38.5%, 53.8%의 분포를 보였으며, $Fc{\gamma}R$IIIa의 158V/V, 158V/F, 158F/F 유전자형에 대하여 각각 7.7%, 35.4%, 56.9%의 분포를 보였다. 또한 $Fc{\gamma}R$IIIb의 NA1/NA1, NA1/NA2, NA2/NA2 유전자형은 각각 33.9%, 53.8%, 12.3%의 분포를 보였다. 이를 바탕으로 각 대립유전자의 발생빈도 계산한 결과 $Fc{\gamma}R$IIa의 R131과 H131이 26.9% 73.1%로 나타났으며, $Fc{\gamma}R$IIIa의 158V, 158F의 유전자형이 25.4%, 74.6%로 나타났다. $Fc{\gamma}R$IIIb의 NA1, NA2 유전자형의 발생빈도는 60.8%, 29.2%로 나타났다. 이번 연구는 치주적으로 건강한 한국인에서의 $Fc{\gamma}R$IIa, $Fc{\gamma}R$IIIa, $Fc{\gamma}R$IIIb에 대한 유전자형의 분포를 조사한 것으로, 이후 치주질환자의 유전자형 분포와의 비교로 치주질환과 $Fc{\gamma}R$IIa, $Fc{\gamma}R$IIIa, $Fc{\gamma}R$IIIb의 유전자다형성과의 관련성에 관한 추가적인 연구가 필요할 것으로 여겨진다.

• Honam Mathematical Journal
• /
• v.30 no.3
• /
• pp.435-442
• /
• 2008

We introduce the concepts of weakly ${\gamma}$-continuity, strongly ${\gamma}$-closed graph and ${\gamma}-T_2$ spaces. And we study some characterizations and properties or such concepts.

• The Pure and Applied Mathematics
• /
• v.16 no.2
• /
• pp.187-192
• /
• 2009

In this paper, we introduce the notions of $s{\gamma}$-generalized closed sets and $s{\gamma}$-generalized sets, and investigate some properties for such notions.

• Korean Journal of Mathematics
• /
• v.6 no.2
• /
• pp.149-154
• /
• 1998

We consider the ordered ${\Gamma}$-semigroups in which $x{\gamma}x(x{\in}M,{\gamma}{\in}{\Gamma})$ are left elements. We show that this $po-{\Gamma}$-semigroup is left regular if and only if M is a union of left simple sub-${\Gamma}$-semigroups of M.