• Journal of applied mathematics & informatics
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• 제28권5_6호
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• pp.1395-1408
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• 2010

In this paper, a pair of Wolfe type second-order nondifferentiable multiobjective symmetric dual program over arbitrary cones is formulated. Weak, strong and converse duality theorems are established under second-order (F, $\alpha$, $\rho$, d)-convexity assumptions. An illustration is given to show that second-order (F, $\alpha$, $\rho$, d)-convex functions are generalization of second-order F-convex functions. Several known results including many recent works are obtained as special cases.

• Journal of applied mathematics & informatics
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• 제27권1_2호
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• pp.13-23
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• 2009

Some strong convergence theorems of explicit iteration scheme for asymptotically nonexpansive semi-groups in Banach spaces are established. The results presented in this paper extend and improve some recent results in [T. Suzuki. On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces, Proc. Amer. Math. Soc. 131(2002)2133-2136; H. K. Xu. A strong convergence theorem for contraction semigroups in Banach spaces, Bull. Aust. Math. Soc. 72(2005)371-379; N. Shioji and W. Takahashi. Strong convergence theorems for continuous semigroups in Banach spaces, Math. Japonica. 1(1999)57-66; T. Shimizu and W. Takahashi. Strong convergence to common fixed points of families of nonexpansive mappings, J. Math. Anal. Appl. 211(1997)71-83; N. Shioji and W. Takahashi. Strong convergence theorems for asymptotically nonexpansive mappings in Hilbert spaces, Nonlinear Anal. TMA, 34(1998)87-99; H. K. Xu. Approximations to fixed points of contraction semigroups in Hilbert space, Numer. Funct. Anal. Optim. 19(1998), 157-163.]

• 벤처창업연구
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• 제10권3호
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• pp.85-97
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• 2015

본 연구에서는 자원의존이론을 이용하여 사외이사 비중과 최고경영자의 이사회 의장직 겸임 효과가 하이테크 산업에 속해 있는 국내 상장기업의 인수합병 성과에 미치는 영향을 2004년부터 2012년까지 수행된 인수합병거래 246개를 대상으로 실증 분석하였다. 분석결과에 따르면, 사외이사 비중은 인수합병 성과에 정(+)의 영향을 미치는 것으로 나타났다. 그러나 최고경영자가 이사회 의장직을 겸임하는 경우 인수합병 성과에 부(-)의 영향을 미치는 것으로 나타났다. 사외이사의 비중과 최고경영자의 이사회 의장직 겸임이 지닌 상호작용의 효과를 살펴본 결과, 최고경영자가 이사회 의장직을 겸임하는 경우 사외이사의 비중이 인수합병 성과에 정(+)의 영향을 미치는 것으로 나타났다. 그러나 이사회 의장이 독립적인 지위를 가지는 경우 사외이사의 비중이 인수합병 성과에 부(-)의 영향을 미치는 것으로 나타났다. 아울러 연구결과의 타당성을 확보하기 위해 상호작용항을 통한 회귀분석 및 다양한 사건기간을 대상으로 실증분석을 수행하여 동일한 결과를 얻을 수 있었다. 최고경영자가 이사회 의장직을 겸임하는 경우 리더십 강화 및 조직 내 지휘체계 확립으로 인해 기업 외부의 이해관계자로부터 정당성을 확보하게 된다. 이를 통해 이사회의 자원의존 기능이 강화되며 인수합병 성과에 긍정적인 영향을 미치는 것으로 해석된다. 반대로 이사회 의장이 독립적인 지위를 가지는 경우 최고경영자의 최고책임자로서의 외부 정당성이 약화된다. 따라서 이사회의 자원의존 기능이 감소되고 인수합병 성과에 부정적인 영향을 미치는 것으로 해석할 수 있다. 기존의 선행연구에서는 최고경영자의 이사회 의장직 분리의 긍정적인 효과에 대해서 주목하였다면, 본 연구에서는 최고경영자의 이사회 의장직 겸임의 긍정적인 효과를 실증적으로 보여주었다는 점에서 그 의의가 있다고 생각한다.

• 충청수학회지
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• 제21권3호
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• pp.293-299
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• 2008

In this paper, we prove strong convergence theorems for a finite family of uniformly L-Lipschitzian mappings by a cyclic iterative algorithm in the framework of Banach spaces. Our results improve and extend the recent ones announced by many others.

• East Asian mathematical journal
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• 제25권1호
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• pp.97-105
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• 2009

In this paper, we prove a strong convergence theorem for a common fixed point of two relatively nonexpansive mappings in a Banach space by using the modified Ishikawa iteration method. Our results improved and extend the corresponding results announced by many others.

• Journal of applied mathematics & informatics
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• 제5권3호
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• pp.797-804
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• 1998

A pair of multiobjective generalized symmetric dual non-linear programming problems and weak strong and converse dual-ity theorems for these problems are established under generalized $\rho-(\eta,0)$-invexity assumptions. Several known results are obtained as special cases.

• The Journal of Asian Finance, Economics and Business
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• 제8권11호
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• pp.235-242
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• 2021

The paper aims to examine the relationship between the Board of Directors' characteristics and the timeliness of financial statements of listed firms in Vietnam. Accordingly, research data was collected from the FiinPro Platform database system, which included financial statements of 548 organizations listed on the Hochiminh Stock Exchange and the Hanoi Stock Exchange from 2013 to 2018. The paper employs the OLS regression method with a strong standard error method and FGLS to handle the problem of variable variance and autocorrelation. The research results show that the following three factors have significant impacts on the timeliness of financial statements: the duality of Chairman, the age of Chairman, and the change of members of the Board of Directors. The findings suggest that the duality of the Chairman of the Board of Directors will lead to a decrease in control effectiveness, adversely affecting the timeliness of the financial statements. In addition, the change of members in the Board of Directors will lead to a positive change in the timely provision of information. The age of the Chairman of the Board of Directors also positively impacts the timeliness of financial statements.

• 대한수학회논문집
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• 제35권2호
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• pp.401-415
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• 2020

It is well-known that if char𝕜 = 0, then an Artinian monomial complete intersection quotient 𝕜[x₁, …, x_n]/(x₁^a₁, …, x_n^a_n) has the strong Lefschetz property in the narrow sense, and it is decomposed by the direct sum of irreducible 𝖘𝖑₂-modules. For an Artinian ring A = 𝕜[x₁, x₂, x₃]/(x₁⁶, x₂⁶, x₃⁶), by the Schur-Weyl duality theorem, there exist 56 trivial representations, 70 standard representations, and 20 sign representations inside A. In this paper we find an explicit basis for A, which is compatible with the S₃-module structure.

• 한국통계학회:학술대회논문집
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• 한국통계학회 2002년도 춘계 학술발표회 논문집
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• pp.49-54
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• 2002

For arbitrary random variables {$X_{n},n{\geq}1$}, the order of growth of the series. $S_{n}\;=\;{\sum}_{j=1}^n\;X_{j}$ is studied in this paper. More specifically, when the series S_{n}$ diverges almost surely, the strong law of large numbers $S_{n}/g_{n}^{-1}$($A_{n}{\psi}(A_{n}))\;{\rightarrow}\;0$ a.s. is constructed by extending the results of Petrov (1973). On the other hand, if the series $S_{n}$ converges almost surely to a random variable S, then the tail series $T_{n}\;=\;S\;-\;S_{n-1}\;=\;{\sum}_{j=n}^{\infty}\;X_{j}$ is a well-defined sequence of random variables and converges to 0 almost surely. For the almost surely convergent series $S_{n}$, a tail series strong law of large numbers $T_{n}/g_{n}^{-1}(B_{n}{\psi}^{\ast}(B_{n}^{-1}))\;{\rightarrow}\;0$ a.s., which generalizes the result of Klesov (1984), is also established by investigating the duality between the limiting behavior of partial sums and that of tail series. In particular, an example is provided showing that the current work can prevail despite the fact that previous tail series strong law of large numbers does not work.

• 대한수학회지
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• 제46권6호
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• pp.1151-1164
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• 2009

Let E be a reflexive Banach space with a weakly sequentially continuous duality mapping, C be a nonempty closed convex subset of E, f : C $\rightarrow$C a contractive mapping (or a weakly contractive mapping), and T : C $\rightarrow$ C a nonexpansive mapping with the fixed point set F(T) ${\neq}{\emptyset}$. Let {$x_n$} be generated by a new composite iterative scheme: $y_n={\lambda}_nf(x_n)+(1-{\lambda}_n)Tx_n$, $x_{n+1}=(1-{\beta}_n)y_n+{\beta}_nTy_n$, ($n{\geq}0$). It is proved that {$x_n$} converges strongly to a point in F(T), which is a solution of certain variational inequality provided the sequence {$\lambda_n$} $\subset$ (0, 1) satisfies $lim_{n{\rightarrow}{\infty}}{\lambda}_n$ = 0 and $\sum_{n=0}^{\infty}{\lambda}_n={\infty}$, {$\beta_n$} $\subset$ [0, a) for some 0 < a < 1 and the sequence {$x_n$} is asymptotically regular.