• The Pure and Applied Mathematics
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• v.21 no.3
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• pp.165-181
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• 2014

We establish a common n-tupled fixed point theorem for hybrid pair of mappings under new contractive condition. It is to be noted that to find n-tupled coincidence point, we do not use the condition of continuity of any mapping involved. An example supporting to our result has also been cited. We improve, extend and generalize several known results.

• Honam Mathematical Journal
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• v.30 no.1
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• pp.197-203
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• 2008

We show the existence of the unique solution of the following system of the nonlinear wave equations with Dirichlet boundary conditions and periodic conditions under some conditions $U_{tt}-U_{xx}+av^+=s{\phi}_{00}+f$ in $(-{\frac{\pi}{2},{\frac{\pi}{2}}){\times}R$, ${\upsilon}_{tt}-{\upsilon}_{xx}+bu^+=t{\phi}_{00}+g$ in $(-{\frac{\pi}{2},{\frac{\pi}{2}}){\times}R$, where $u^+$ = max{u, 0}, s, t ${\in}$ R, ${\phi}_{00}$ is the eigenfunction corresponding to the positive eigenvalue ${\lambda}_{00}$ of the wave operator. We first show that the system has a positive solution or a negative solution depending on the sand t, and then prove the uniqueness theorem by the contraction mapping principle on the Banach space.

• Structural Engineering and Mechanics
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• v.3 no.2
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• pp.185-192
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• 1995

A numerical algorithm for plane stress and shell elasto-plasticity is presented in this paper. The proposed strain decomposition (SD) algorithm is an elastic predictor/plastic corrector algorithm, and in the context of operator splitting, is a return mapping algorithm. However, it differs significantly from other return mapping algorithms in that only the necessary response functions are used without invoking their gradients, and the stress increment is updated only at the end of the time step. This makes the proposed SD algorithm more suitable for materials with complex yield surfaces and will guard against error accumulation during the time step. Comparative analyses of structural systems using the proposed strain decomposition (SD) algorithm and the iterative radial return (IRR) algorithm are presented. The results demonstrate the accuracy and usefulness of the proposed algorithm.

• Nonlinear Functional Analysis and Applications
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• v.26 no.4
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• pp.717-731
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• 2021

In this paper, we introduce and study a new class of random generalized nonlinear implicit variational-like inclusion with random fuzzy mappings in a real separable Hilbert space and give its fixed point formulation. Using the fixed point formulation and the proximal mapping technique for strongly maximal monotone mapping, we suggest and analyze a random iterative scheme for finding the approximate solution of this class of inclusion. Further, we prove the existence of solution and discuss the convergence analysis of iterative scheme of this class of inclusion. Our results in this paper improve and generalize several known results in the literature.

• The Journal of Korean Association of Computer Education
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• v.18 no.3
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• pp.37-47
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• 2015

The purpose of this study is to review the concept mapping tools and provide implications for designing tools that support collaborative learning activities. For this purpose, representative concept mapping tools - Convince Me, Knowledge Forum, Cmaptools, Mindmeister, Belvedere - was analyzed by using the 3C(Communication, Coordination, Cooperation) framework. We have applied three research methods; 1) literature review on design principles of tools, 2) heuristic evaluation, 3) focus group interview. As a result, most of comcept mapping tools supported communication functions but partialy supported coordication and cooperation features.

• Bulletin of the Korean Mathematical Society
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• v.47 no.3
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• pp.623-632
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• 2010

A holomorphic function F defined on the unit disc belongs to $A^{p,{\alpha}}$ (0 < p < $\infty$, 1 < ${\alpha}$ < $\infty$) if $\int\limits_U|F(z)|^p \frac{1}{1-|z|}(1+log)\frac{1}{1-|z|})^{-\alpha}$ dxdy < $\infty$. For boundedness of the composition operator defined by $C_{fg}=g{\circ}f$ mapping Blochs into $A^{p,{\alpha}$ the following (1) is a sufficient condition while (2) is a necessary condition. (1) $\int\limits_o^1\frac{1}{1-r}(1+log\frac{1}{1-r})^{-\alpha}M_p(r,\lambda{\circ}f)^p\;dr$ < $\infty$ (2) $\int\limits_o^1\frac{1}{1-r}(1+log\frac{1}{1-r})^{-\alpha+p}(1-r)^pM_p(r,f^#)^p\;dr$ < $\infty$.

• Bulletin of the Korean Mathematical Society
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• v.46 no.1
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• pp.45-60
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• 2009

In this paper, we investigate homomorphisms in proper $JCQ^*$-triples and derivations on proper $JCQ^*$-triples associated to the following Pexiderized functional equation $$f(x+y+z)=f_0(x)+f_1(y)+f_2(z)$$. This is applied to investigate homomorphisms and derivations in proper $JCQ^*$-triples.

• Journal of applied mathematics & informatics
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• v.6 no.2
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• pp.433-446
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• 1999

Let G denote either of the groups $GL_2(q)$ or $SL_2(q)$. The mapping $theta$ sending a matrix to its transpose-inverse is an auto-mophism of G and therefore we can form the group $G^+$ = G.<$theta$>. In this paper conjugacy classes of elements in $G^+$ -G are found. These classes are closely related to the congruence classes of invert-ible matrices in G.

• Journal of Applied Biological Chemistry
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• v.43 no.1
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• pp.12-17
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• 2000

To understand the signal transduction pathway that leads to the activation of the wound-inducible proteinase inhibitor II (pin2) promoter. $F_2$ progenies of wound (-) mutant crossed with wild-type Arabidopsis plants were biochemically and genetically characterized. Wound (-) mutant was derived from transgenic Arabidopsis plants containing bacterial cytosine deaminase gene under the control of pin2 promoter. The cytosine deaminase assays indicated that wound (-) mutant is a dominant inhibitor of wound-inducibility as only 3 of the $20F_2$ progenies showed cytosine deaminase (CDase) activity, To construct a structural map of the wound (-) mutant chromosomal regions, cleaved, amplified polymorphic sequences (CAPS) markers that cover all Chromosomes were used. Chromosomal regions covered by three different CAPS markers could be candidates for further fine mapping of the location of the wound (-) mutation. g4026, RGA1 and ASA1 located at 84.9 on recombinant inbred (RI) map of chromosome I, at 1.75 on RI map of chromosome II, and 18.35 on RI map of chromosome V, respectively.

• Asian-Australasian Journal of Animal Sciences
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• v.21 no.7
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• pp.941-946
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• 2008

Single-minded 1 gene (SIM1) is a homolog of Drosophila SIM1 gene which plays a key role in the midline cell lineage of the central nervous system and is implicated in the regulation of feeding behavior and obesity in the human and mouse. In this study, porcine SIM1 gene was firstly mapped to chromosome 1p13 using radiation hybrid (RH) mapping and two polymorphisms were detected at position 607 (A/G) in SIM1 intron7 and position 780 (C/T) in SIM1 exon8. The last substitution was genotyped in a 364 F2 animal-population and an association analysis of these genotypes was performed with growth, carcass and meat quality traits by the statistical animal model. The results showed the significant influence of the SIM1 genotype on growth (p<0.05): live weight at birth, later period of growth and average daily gain; and effects on carcass composition (p<0.05): weight of head and buck kneed foreleg, backfat depth, loin eye area, carcass leaf fat and ham fat weights; and traits related to intramuscular fat content (p<0.05).