• 대한수학회논문집
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• 제33권3호
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• pp.943-960
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• 2018

Our aim is to introduce the notion of a parametric $N_b-metric$ and study some basic properties of parametric $N_b-metric$ spaces. We give some fixed-point results on a complete parametric $N_b-metric$ space. Some illustrative examples are given to show that our results are valid as the generalizations of some known fixed-point results. As an application of this new theory, we prove a fixed-circle theorem on a parametric $N_b-metric$ space.

• Korean Journal of Mathematics
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• 제14권1호
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• pp.79-83
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• 2006

In this paper, we apply Zermelo's problem of navigation on Riemannian manifolds to Hermitian manifolds. Using a similar technique with which we define a Randers metric in a Finsler manifold by perturbing Riemannian metric with a vector field, we construct an $(a,b,f)$-metric in a Rizza manifold from a Hermitian metric and a given vector field.

• 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.

• 대한수학회논문집
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• 제32권2호
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• pp.375-387
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• 2017

In this paper, we prove some coincidence point theorems involving ${\varphi}-contraction$ in ordered partial metric spaces. We also extend newly introduced notion of g-comparability of a pair of maps for linear contraction in ordered metric spaces to non-linear contraction in ordered partial metric spaces. Thus, our results extend, modify and generalize some recent well known coincidence point theorems of ordered metric spaces.

• Nonlinear Functional Analysis and Applications
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• 제28권3호
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• pp.719-729
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• 2023

In this article, we present a new notion called "extended metric spaces of type (φ, ρ)" as a generalization of extended b-metric spaces. Also, we establish a fixed point result of a Reich-type contraction on an extended metric space of type (φ, ρ). We also provide several examples to demonstrate the significance of the established results.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제30권2호
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• pp.169-190
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• 2023

In this paper, we introduce an extension of rectangular metric spaces called controlled rectangular metric spaces, by changing the rectangular inequality in the definition of a metric space. We also establish some fixed point theorems for self-mappings defined on such spaces. Our main results extends and improves many results existing in the literature. Moreover, an illustrative example is presented to support the obtained results.

• Kyungpook Mathematical Journal
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• 제60권3호
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• pp.535-549
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• 2020

In this paper, we introduce the geometry of contact CR submanifolds and radical transversal lightlike submanifolds of Sasaki-like almost contact manifolds with B-metric. We obtain some new results that establish a relationship between these two submanifolds.

• Nonlinear Functional Analysis and Applications
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• 제28권1호
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• pp.251-263
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• 2023

In the setting of extended quasi b-metric spaces, we introduce a new concept called "extended A-contraction". We then use our concept to prove a common fixed point result for a pair of self mappings under a set of conditions. Also, we provide the concepts of extended B-contraction and extended R-contraction. We then establish a common fixed point under these new contractions. Our results generalize many existing result of fixed point in metric spaces. Furthermore, we give an example to illustrate and support our result.

• 대한수학회논문집
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• 제32권1호
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• pp.65-74
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• 2017

In this paper, we establish a unique common fixed point theorem for T-contraction of two self maps on generalized cone b-metric spaces with solid cone. The result of this paper improves and generalizes several well-known results in the literature. Two examples are also given to support the result.