• Korean Journal of Mathematics
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• 제25권2호
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• pp.261-278
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• 2017

In this paper, we introduce the concepts of ([r, s], [t, u])-interval-valued intuitionistic fuzzy alpha generalized closed and open sets in the interval-valued intuitionistic smooth topological space and ([r, s], [t, u])-interval-valued intuitionistic fuzzy alpha generalized continuous mappings and then investigate some of their properties.

• Korean Journal of Mathematics
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• 제25권1호
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• pp.1-18
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• 2017

In this paper, we introduce the concepts of ([r, s], [t, u])-interval-valued intuitionistic fuzzy generalized preclosed sets and ([r, s], [t, u])-interval-valued intuitionistic fuzzy generalized preopen sets in the interval-valued intuitionistic smooth topological space and ([r, s], [t, u])-interval-valued intuitionistic fuzzy generalized pre-continuous mappings and then investigate some of their properties.

• 대한수학회논문집
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• 제13권4호
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• pp.765-773
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• 1998

Let E be a smooth Banach space. Suppose T : E longrightarrow E is a strongly accretive map. It is proved that each of the two well known fixed point iteration methods (the Mann and Ishikawa iteration methods), under suitable conditions, converges strongly to a solution of the equation Tx = f.

• 정보처리학회논문지A
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• 제9A권1호
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• pp.99-104
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• 2002

본 논문에서는 벡터공간 $R_n$에서 정의된 Bezier곡선과 Bezier곡면을 Lie군(Lie group)에서 확장하는 일반적인 새로운 생성방법을 제시한다. 이 방법에 의해서 생성된 Bezier곡선과 Bezier곡면은 Lie군의 성질에 의해서 미분 가능한 구조를 갖는다. 이 방법은 공간상에서 움직이는 물체에 대한 부드러운 움직임을 묘사하거나 궤도생성에 사용할 수 있다.

• 충청수학회지
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• 제28권1호
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• pp.65-72
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• 2015

The (affine) development of a smooth curve in a smooth manifold M with respect to an arbitrarily given affine connection in the bundle of affine frames over M is well known (cf. S.Kobayashi and K.Nomizu, Foundations of Differential Geometry, Vol.1). In this paper, we get the generalized affine development of a smooth curve $x_t$ ($t{\in}[0,1]$) in M into the affine tangent space at $x_0$ (${\in}M$) with respect to a given generalized affine connection in the bundle of affine frames over M.

• Korean Journal of Mathematics
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• 제20권2호
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• pp.225-237
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• 2012

In this paper, we introduce a new iterative scheme to investigate the problem of nding a common element of nonexpansive mappings and the set of solutions of generalized variational inequalities for a $k$-strict pseudo-contraction by relaxed extra-gradient methods. Strong convergence theorems are established in $q$-uniformly smooth Banach spaces.

• Korean Journal of Mathematics
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• 제24권4호
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• pp.663-679
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• 2016

In this paper, we introduce the concepts of several types of interval-valued intuitionistic fuzzy mappings and several types of interval-valued intuitionistic fuzzy compactness in interval-valued intuitionistic smooth topological spaces and then investigate their properties.

• 대한수학회보
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• 제58권3호
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• pp.617-635
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• 2021

Let X be a smooth hypersurface X of degree d ≥ 4 in a projective space ℙⁿ⁺¹. We consider a projection of X from p ∈ ℙⁿ⁺¹ to a plane H ≅ ℙⁿ. This projection induces an extension of function fields ℂ(X)/ℂ(ℙⁿ). The point p is called a Galois point if the extension is Galois. In this paper, we will give necessary and sufficient conditions for X to have Galois points by using linear automorphisms.

• Kyungpook Mathematical Journal
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• 제58권1호
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• pp.47-54
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• 2018

We classify the extreme, exposed and smooth bilinear forms of the unit ball of the space of bilinear forms on $l^2_{\infty}$.

• 한국조경학회지
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• 제29권4호
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• pp.1-11
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• 2001

The purpose of this study is to re-interpretate the meaning of place from the perspective view of events. In the realm of events, time, process, and evolution are emerging as more important elements for better places rather than space or fixed physical elements. First, this study reviews the phenomenological contribution to the meaning of place by discussing differences between positivism and phenomenology. The phenomenological approach has strengths that can perceive individual experiences and idiosyncraises through a holistic approach and qualitative methods. However, it has weaknesses such as unpredictability, subjectivity and ambiguity. In order to overcome these weaknesses, the notion of singularities(pure events) on the metaphysical plane existing between nature and culture is explored via Deleuzean concepts(Post-structuralism); singularities become events(simulacre) through ´becoming´ and these events have meaning through this process in the particular place. By this process, the subject an feed a sense of place through this meaning. Events unexpectedly create a series of events and have impact in the future. Creating various events in the particular place requires many contextural settings where the embodied perceptions could take place. Describing the potentiality of embodied perceptions demands ´smooth space´ rather than ´striated space´. Smooth space refers to the space where orientations and linkages are in continuous variation. Recent architectural and landscape architectural design projects reveal that the emphasis is placed on the open-ended set of various events unfolding over time rather than the physical settings of the place. For better landscape design, new concepts need to be introduced and implemented. These new concepts should focus on creating a series of events and considering the evolution of the place over time through multi-contextural and rhizomatical synthesis rather than rigid and static master plan of SAD(survey-analysis-design) methodology.