• 대한수학회지
• /
• 제38권3호
• /
• pp.683-695
• /
• 2001

In this paper we are concerned with theoretical properties of gap functions for the extended variational inequality problem (EVI) in a general Banach space. We will present a correction of a recent result of Chen et. al. without assuming the convexity of the given function Ω. Using this correction, we will discuss the continuity and the differentiability of a gap function, and compute its gradient formula under tow particular situations in a general Banach space. Our results can be regarded as infinite dimensional generalizations of the well-known results of Fukushima, and Zhu and Marcotte with soem modifications.

• Nonlinear Functional Analysis and Applications
• /
• 제29권1호
• /
• pp.15-33
• /
• 2024

In this article, we considered a class of nonlinear variational hemivariational inequality problems and investigated a gap function and regularized gap function for the problems. We discussed the global error bounds for such inequalities in terms of gap function and regularized gap functions by utilizing the Clarke generalized gradient, relaxed monotonicity, and relaxed Lipschitz continuous mappings. Finally, as applications, we addressed an application to non-stationary non-smooth semi-permeability problems.

• Journal of applied mathematics & informatics
• /
• 제31권5_6호
• /
• pp.795-812
• /
• 2013

The merit function arises from the development of the solution methods for the complementarity problems defined over the cone of non negative real vectors and has been well extended to the complementarity problems defined over the symmetric cones. In this paper, we focus on the extension of the merit functions including the gap function, the regularized gap function, the implicit Lagrangian and others to the complementarity problems defined over the nonsymmetric matrix cone. These theoretical results of this paper suggest new solution methods based on unconstrained and/or simply constrained methods to solve the matrix cone complementarity problems (MCCP).

• 한국원자력학회:학술대회논문집
• /
• 한국원자력학회 1995년도 추계학술발표회논문집(2)
• /
• pp.636-643
• /
• 1995

The accurate determination of the fuel-cladding gap conductance as functions of rod burnup and power level may be a key to the design and safety analysis of a reactor. The incorporation of a sophisticated gap conductance model into nuclear design code for computing thermal hydraulic feedback effect has not been implemented mainly because of computational inefficiency due to complicated behavior of gap conductance. To avoid the time-consuming iteration scheme, simplification of the gap conductance model is done for the current design model. The simplified model considers only the heat conductance contribution to the gap conductance. The simplification is made possible by direct consideration of the gas conductivity depending on the composition of constituent gases in the gap and the fuel-cladding gap size from computer simulation of representative power histories. The simplified gap conductance model is applied to the various fuel power histories and the predicted gap conductances are found to agree well with the results of the design model.

• 충청수학회지
• /
• 제27권2호
• /
• pp.271-276
• /
• 2014

Recently, Taji [7] and Harms et al. [4] studied the regularized gap function of QVI analogous to that of VI by Fukushima [2]. Discussions are made in a finite dimensional Euclidean space. In this note, an infinite dimensional generalization is considered in the framework of a reflexive Banach space. To do so, we introduce an extended quasi-variational inequality problem (in short, EQVI) and a generalized regularized gap function of EQVI. Then we investigate some basic properties of it. Our results may be regarded as an infinite dimensional extension of corresponding results due to Taji [7].

• 충청수학회지
• /
• 제28권1호
• /
• pp.145-150
• /
• 2015

Aussel et al. [1] introduced the notion of inverse quasi-variational inequalities (IQVI) by combining quasi-variational inequalities and inverse variational inequalities. Discussions are made in a finite dimensional Euclidean space. In this note, we develop an infinite dimensional version of IQVI by investigating some basic properties of the regularized gap function of IQVI in a Banach space.

• 한국건설관리학회논문집
• /
• 제15권6호
• /
• pp.3-15
• /
• 2014

국내 건설기업들의 해외 건설시장 진출이 중요한 쟁점이 되고 있는 현 시점에서, 타산업에 비해 경쟁강도가 낮으며, 높은 파급효과를 지닌 플랜트건설 수주확대를 위한 전략모색이 무엇보다 필요하다. 이에 본 연구에서는, 종합적인 측면에서의 표준화된 플랜트건설 사업관리 14가지 업무기능과 4가지 관리기법의 단계적 정의를 바탕으로 플랜트건설 전문가를 대상으로 선진국 대비 현재(2013년)와 미래(2018년)의 사업관리 업무기능별 역량수준을 조사 및 GAP분석을 실시하였다. 그 결과, 과거 실적을 바탕으로 노하우가 축적된 시공관리와 같은 하드웨어적인 역량은 선진국에 비하여 크게 뒤처지지 않으나, 경쟁강도가 상대적으로 낮고 부가가치가 높은 기획, 설계관리, 계약관리, 리스크관리와 같은 소프트웨어적인 측면의 역량은 뒤처진 것으로 나타났다. 또한 국가 산업적 차원에서 전문인력 및 원천기술 확보, 체계적인 관리 지원시스템 구축을 위한 연구개발의 확대가 필요한 것으로 분석되었다.

• 대한기계학회논문집B
• /
• 제36권1호
• /
• pp.67-74
• /
• 2012

본 논문은 응축기의 비 응축 가스 배출 타입에 따른 틈 간격의 비율이 응축기의 성능에 미치는 영향에 관하여 다공성 매질 개념을 적용한 수치적 연구에 관한 것이다. 다공성 매질의 개념을 이용한 응축기의 성능 해석에서는 응축기기 내부의 다관군을 다공성 매질로 간주하며, 다관군에 의한 압력 강하는 상관식으로 반영한다. 상용수치해석 프로그램인 Fluent 와 user-defined functions 를 이용하여 McAllister 응축기에 다공성 매질 개념을 적용하여 3 차원 응축량을 해석하였다. 순수증기의 해석에서는 틈 간격이 응축량에 미치는 영향이 거의 없었다. 그러나 비 응축가스가 포함되어 있으며, 외부 배출의 경우 틈 간격은 응축량에 매우 큰 영향을 미쳤는데, 틈 간격이 줄어듦에 따라 응축량이 매우 증가하는 결과를 얻었다.

• 대한의생명과학회지
• /
• 제20권2호
• /
• pp.49-55
• /
• 2014

RalBP1 is an ATP-dependent non-ABC transporter, responsible for the major transport function in many cells including many cancer cell lines, causing efflux of glutathione-electrophile conjugates of both endogenous metabolites and environmental toxins. RalBP1 is expressed in most human tissues, and is over-expressed in non-small cell lung cancer cell lines and in many other tumor types. Blockade of RalBP1 by various approaches has been shown to increase sensitivity to radiation and chemotherapeutic drugs, leading to cell apoptosis. In xenograft tumor models in mice, RalBP1 blockade or depletion results in complete and sustained regression across many cancer cell types including lung cancer cells. In addition to its transport function, RalBP1 has many other cellular and physiological functions, based on its domain structure which includes a unique Ral-binding domain and a RhoGAP catalytic domain, as well as docking sites for multiple signaling proteins. Additionally, RalBP1 is also important for stromal cell function in tumors, as it was recently shown to be required for efficient endothelial cell function and angiogenesis in solid tumors. In this review, we discuss the cellular and physiological functions of RalBP1 in normal and lung cancer cells.

• Earthquakes and Structures
• /
• 제26권4호
• /
• pp.285-297
• /
• 2024

Due to the imbalanced vibration of the adjacent buildings, the pounding phenomenon occurs as a result of an insufficient gap between them. Providing enough gap between adjacent structures is the most efficient approach to preventing the pounding effect. This paper calculated the required separation gaps between adjacent buildings, including two, four, eight, twelve and twenty stories steel moment-resisting frames, and investigated their related influencing parameters such as time periods, damping ratios, and the number of bays. The linear and nonlinear dynamic time-history analyses under real seismic event records were conducted to calculate the required separation gaps by obtaining relative displacement and velocity functions of two adjacent frames. The results showed that the required separation gap increased when the time periods of adjacent frames were not the same. The resulting separation gaps values of linear and nonlinear analyses were similar only for two and four stories frames. In other frames, the resulting separation gap values of linear analyses surpassed the corresponding nonlinear analyses. Although increasing the damping ratios in adjacent frames causes a decrease in the required separation gaps, the number of bays had no significant effect on them.