• East Asian mathematical journal
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• 제25권1호
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• pp.107-117
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• 2009

In this paper, we give some new definitions of D-metric spaces and we prove a common fixed point theorem for a class of mappings under the condition of weakly compatible mappings in complete D-metric spaces. We get some improved versions of several fixed point theorems in complete D-metric spaces.

• East Asian mathematical journal
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• 제33권5호
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• pp.559-570
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• 2017

In this paper, existence of fixed point of certain operators imbedded in simulation function has been investigated in context of a complete M-metric spaces.

• Korean Journal of Mathematics
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• 제30권4호
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• pp.561-569
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• 2022

In this paper, we study the generalization of the Banach contraction principle in the vector space, involving four rational square terms in the inequality, by using the notation of bilinear functional. We also present an extension of Selberg's inequality to vector space.

• 대한수학회논문집
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• 제22권3호
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• pp.429-440
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• 2007

In this paper, a common fixed point theorem for weak compatible maps in complete fuzzy metric spaces is proved.

• Structural Engineering and Mechanics
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• 제34권1호
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• pp.85-95
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• 2010

In this paper, numerical solution of the singular integral equation for the multiple curved branch-cracks is investigated. If some quadrature rule is used, one difficult point in the problem is to balance the number of unknowns and equations in the solution. This difficult point was overcome by taking the following steps: (a) to place a point dislocation at the intersecting point of branches, (b) to use the curve length method to covert the integral on the curve to an integral on the real axis, (c) to use the semi-open quadrature rule in the integration. After taking these steps, the number of the unknowns is equal to the number of the resulting algebraic equations. This is a particular advantage of the suggested method. In addition, accurate results for the stress intensity factors (SIFs) at crack tips have been found in a numerical example. Finally, several numerical examples are given to illustrate the efficiency of the method presented.

• 스마트미디어저널
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• 제9권2호
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• pp.9-15
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• 2020

본 논문에서는 새롭게 제안하는 Multi-Path Encoder-Decoder 의 구조를 바탕으로 두개의 가지로 구성된 심층신경망을 통해서 영상 이미지에서 물체를 하나의 객체 단위로 분할 검출하는 방법을 제안하였다. 각 가지는 중심점 검출 가지(Dot branch), 객체 분할 가지(Segmentation branch)라 하고 중심점 검출 가지는 이미지로부터 각 객체의 중심점을 찾는 역할을 수행하고, 객체 분할 가지는 각 객체의 영역을 이미지로부터 분할하는 역할을 수행한다. 실험에서는 CVPPP 식물 이미지의 나뭇잎을 각각 구분하도록 학습 하였으며 중심점 검출 가지는 각 나뭇잎의 중심점들을 찾아내고, 객체 분할 가지는 원본 이미지와 찾아낸 중심점 이미지를 통하여 각 중심점에 해당하는 나뭇잎의 픽셀 분할 영역을 최종적으로 예측하게 된다. 기존의 객체 분할에서는 다양한 크기, 위치의 앵커박스를 만들어서 많은 영역(N > 1k)의 물체를 확인해야하는 연산량 문제점 혹은 이미지에서 고정되지 않는 총 객체의 개수를 예측하기 어려웠던 문제가 있었다. 제안한 심층신경망에서는 중심점을 기반으로 객체를 찾아내는 효과적인 방법을 제안하였다.

• 대한수학회논문집
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• 제27권2호
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• pp.399-410
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• 2012

We prove common fixed point theorems for weakly compatible mappings satisfying strict contractive conditions in fuzzy metric spaces using property (E.A). Our theorems extend a theorem of [1].

• 대한수학회논문집
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• 제27권2호
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• pp.347-356
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• 2012

In this paper, we present a common fixed point theorem for multivalued maps on $M$-complete fuzzy metric spaces. Also, the single valued case and an illustrative example are given.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제28권1호
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• pp.1-13
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• 2021

In this note we use a generalization of coincidence point(a property which was defined by [1] in symmetric spaces) to prove common fixed point theorem on S-metric spaces for weakly compatible maps. Also the results are used to achieve the solution of an integral equation and the bounded solution of a functional equation in dynamic programming.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제29권4호
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• pp.401-419
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• 2022

In this paper, we introduce the notion of partial S-metric space and prove a common fixed point theorem in the respective setting. An example is presented to show the effectiveness of this approach.