• Title/Summary/Keyword: complementarity problems

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A HYBRID PROXIMAL POINT ALGORITHM AND STABILITY FOR SET-VALUED MIXED VARIATIONAL INCLUSIONS INVOLVING (A, ${\eta}$)-ACCRETIVE MAPPINGS

  • Kim, Jong-Kyu;Li, Hong Gang
    • East Asian mathematical journal
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    • v.26 no.5
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    • pp.703-714
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    • 2010
  • A new class of nonlinear set-valued mixed variational inclusions involving (A, ${\eta}$)-accretive mappings in Banach spaces is introduced and studied, which includes many kind of variational inclusion (inequality) and complementarity problems as special cases. By using the resolvent operator associated with (A, ${\eta}$)-accretive operator due to Lan-Cho-Verma, the existence of solution for this kind of variational inclusion is proved, and a new hybrid proximal point algorithm is established and suggested, the convergence and stability theorems of iterative sequences generated by new iterative algorithms are also given in q-uniformly smooth Banach spaces.

New large-update primal interior point algorithms based on kernel functions for LCPs

  • Kim, Min-Kyung;Cho, Gyeong-Mi
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.11 no.4
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    • pp.69-88
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    • 2007
  • In this paper we propose new large-update primal-dual interior point algorithms for $P_{\neq}({\kappa})$ linear complementarity problems(LCPs). New search directions and proximity measures are proposed based on a specific class of kernel functions, ${\psi}(t)={\frac{t^{p+1}-1}{p+1}}+{\frac{t^{-q}-1}{q}}$, q>0, $p{\in}[0,\;1]$, which are the generalized form of the ones in [3] and [12]. It is the first to use this class of kernel functions in the complexity analysis of interior point method(IPM) for $P_*({\kappa})$LCPs. We showed that if a strictly feasible starting point is available, then new large-update primal-dual interior point algorithms for $P_*({\kappa})$ LCPs have the best known complexity $O((1+2{\kappa}){\sqrt{2n}}(log2n)log{\frac{n}{\varepsilon}})$ when p=1 and $q=\frac{1}{2}(log2n)-1$.

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Leveraging and Fostering Diversity in the IS Discipline: Intradisciplinary Knowledge Building via the IT View-IS Phenomenon (VP) Matrix

  • Inchan Kim;Jama Summers
    • Asia pacific journal of information systems
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    • v.34 no.1
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    • pp.49-90
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    • 2024
  • Intradisciplinary research refers to research that integrates ideas often associated with different research domains in a discipline. Such cross-fertilization leverages abundant diversity present in the IS discipline to tackle increasingly complex IS problems and grand challenges. Despite its importance and recent attention, a concerted, sustained effort toward intradisciplinary research is lagging. A fundamental issue we see is a lack of an elaborate IS research map that effectively shows similarities and differences among research domains and demonstrates types of ideas that may travel and integrate into different domains. We thus aim to propose an elaborate IS research map and compile research elements that can be tried and combined across research domains. To do so, we utilize two IS classics (i.e., IT views and IS phenomena), identify their complementarity, and interweave the two disparate ways of portraying the IS research field. The resultant view-phenomenon (VP) matrix specifies research domains based on two consistent, comprehensive criteria and helps researchers discern similarities and differences among research domains more effectively. The VP matrix also sheds light on a variety of research elements that can flow across research domains. The VP matrix along with the research elements together facilitate intradisciplinary efforts and, more broadly, help the IS discipline to prosper. The VP matrix is particularly helpful for doctoral students and young scholars.

A study on the humanistic measure about cultural changes of voice recognition technology (음성인식기술의 문화변동에 대한 인문학적 대응에 관한 연구)

  • Yuk, Hyun-Seung;Cho, Byung-Chul
    • Journal of Digital Convergence
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    • v.13 no.8
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    • pp.21-31
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    • 2015
  • The Journal of Digital Policy & Management. This space is for the abstract of your study in English. Recently, advancements in voice recognition technology lead to a new oral cultural era. Text based on new oral cultures, can bring about a cultural revolution. This research is rooted within the humanistic approach, including oral and text. The goal of the research is the humanistic measurements in regards to these cultural issues. Just like the complementary relationship between oral and text for the future. First of all, we will discuss the aspects that have resulted in the change between a text culture to an oral culture. After checking these changes with regards to voice recognition technology, we will be able to discuss the possibilities and problems of this cultural change. We discussed expected outcomes, such as the complementarity of speaking and writing, the expansion from the private culture to the public culture, the possibilities of a simultaneous concurrency. We also discussed the necessity such as a new semiotic approach of the voice and preparation for the expansion of the world of life. Specifically, the necessity for the advancement and control of the Korean culture against the dominance of a global corporation will be explored. In this study, basic research will be undertaken to look at the possibility of the new voice recognition technology and cultural changes, that are expected to be able to be effectively utilized and continue into more detailed research.

Theory of Network city and perspective on development of the Yeongnam region (네트워크도시 이론과 영남권 지역의 발전 전망)

  • Choi, Byung-Doo
    • Journal of the Korean association of regional geographers
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    • v.21 no.1
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    • pp.1-20
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    • 2015
  • This paper is to provide some suggestions to complement and extend theory of network city, and to consider preliminarily its applicability for development of the Yeongnam region, exploring its normative implications for urban and regional policy and its significance of empirical research. In order to resolve some limitations and problems of network city theory and of empirical research, we need to reconsider systematically analysis methods, to extend indices of connectivity, to reconfirm normative characters inherent in network city theory, to suggest the constitution of cooperative governance, and to develop policies for embedding functional connectivity into internal community. In a preliminary analysis of Yeongnam region on the basis of network city theory, it is not clear whether the urban system of the region is entirely a type of network city, even though it seems to be close to network city. However, in order for the Yeongnam region to orient towards network city, we can point out importance of policy issues such as expansion of transportation and communication infrastructure, strengthening of economic connectivity, constitution of cooperative governance, and local embeddedness of functional network within the region.

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