• Journal of applied mathematics & informatics
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• 제27권1_2호
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• pp.351-363
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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 six 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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• 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.

• 대한수학회보
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• 제55권3호
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• pp.967-970
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• 2018

The aim of this paper is to show that there exists a weakly quasisymmetric homeomorphism $f:(X,d){\rightarrow}(Y,d^{\prime})$ between two locally compact non-complete metric spaces such that $f:(X,d_h){\rightarrow}(Y,d^{\prime}_h)$ is not quasi-isometric, where dh denotes the Gromov hyperbolic metric with respect to the metric d introduced by Ibragimov in 2011. This result shows that the answer to the related question asked by Ibragimov in 2013 is negative.

• 대한전기학회논문지:시스템및제어부문D
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• 제52권7호
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• pp.434-441
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• 2003

This paper proposes a new quantitative and objective image quality metric which is essential to verify the performance of block-based DCT image coding. The proposed metric considers not only global distortion of coded image such as spatial frequency sensitivity and channel masking using HVS based multi-channel model, but also structural distortions caused block-based coding. The experimental results show a strong correlation between proposed metric and subjective metric.

• 충청수학회지
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• 제17권2호
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• pp.111-124
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• 2004

In [4], Dhage proved a result for common fixed point of two self-maps satisfying a contractive condition in D-metric spaces. This note proves a fixed point theorem for five self-maps under weak-compatibility in D-metric space which improves and generalizes the above mentioned result.

• Nonlinear Functional Analysis and Applications
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• 제27권2호
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• pp.309-322
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• 2022

In this paper, we introduce the notion of a new generalized type of rational F-contraction mapping. Further, the concept is used to obtain fixed points in a complete b-metric space. We also prove another unique fixed point theorem in the context of b-metric space. Our results are verified with example.

• 한국통신학회논문지
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• 제24권10A호
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• pp.1563-1570
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• 1999

본 논문은 디지털 지상파 TV 방송 시스템에서 erasure 기술을 이용한 연판정 복조방법에 관한 것으로, 제안된 디코더는 COFDM 시스템의 송신기에서 삽입된 pilot으로부터 구해진 채널상태정보를 이용하여 복호화를 행한다. 입력되는 I, Q의 데이터는 우선 branch metric을 구하는 블록으로 입력되어 branch metric을 구한다. 이 때 채널상태정보도 branch metric을 구하는 블록으로 입력되어 새로운 branch metric을 구한다. 이렇게 구해진 새로운 branch metric은 COFDM 시스템에서의 각각의 캐리어의 채널상태를 각각 반영하였기 때문에 종전의 branch metric 계산방법에 비해 성능 개선을 가져올 수 있다. 본 논문에서는 ETS 300 744[1]의 표준에 정의되어 있는 Rayleigh fading 채널을 이용하여 이의 성능개선 정도를 확인하였다. 모의실험 결과 종래의 단순한 branch metric 계산 방법보다 비트 인터리버와 심벌 인터리버를 모두 사용할 경우에는 0.15 ∼ 0.7 dB 정도의 성능개선을, 심벌 인터리버만을 사용하였을 경우에는 2.2 ∼ 2.0 dB 정도의 성능 개선을 확인할 수 있었다.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 1997년도 추계학술대회 학술발표 논문집
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• pp.69-72
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• 1997

In this papaers, we generalize the usual fuzzy metric on R, the set of all real numbers, and induce the fuzzy metric space(X, d) from a metric space(X, d)

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제9권1호
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• pp.1-7
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• 2002

For A bounded subset G of a metric Space (X,d) and $\chi \in X$, let $f_{G}$ be the real-valued function on X defined by $f_{G}$($\chi$)=sup{$d (\chi, g)\in:G$}, and $F(G,\chi)$={$z \in X:sup_{g \in G}d(g,z)=sup_{g \in G}d(g,\chi)+d(\chi,z)$}. In this paper we discuss some properties of the map $f_G$ and of the set $ F(G, \chi)$ in convex metric spaces. A sufficient condition for an element of a convex metric space X to lie in $ F(G, \chi)$ is also given in this pope.

• 대한수학회보
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• 제50권6호
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• pp.1873-1886
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• 2013

In this paper, we characterize inner uniform domains in $\mathbb{R}^n$ in terms of Apollonian inner metric and the metric $j^{\prime}_D$ when D are Apollonian. As an application, a new characterization for A-uniform domains is obtained.