• Korean Journal of Mathematics
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• 제31권3호
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• pp.373-383
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• 2023

The aim of this paper is to prove some new approximate best proximity pair theorems on metric spaces using contraction mappings such as P-Bianchini contraction, P - B contraction and so on. A few examples are provided to exemplify our findings. Finally, we discuss some applications that are related to the main results.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제30권4호
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• pp.417-427
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• 2023

The purpose of this paper is establish the existence of proximity point for the cyclic B-contraction mapping on metric spaces and uniformly convex Banach spaces. Also, we prove the common proximity point for the S-weakly cyclic B-contraction mapping. In addition, a few examples are provided to demonstrate our findings.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제27권3호
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• pp.160-179
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• 2023

In this paper, we investigate the existence and diameter of the approximate fixed point results on E-metric spaces (not necessarily complete) by using various cyclic contraction mappings, including the B-cyclic contraction, the Bianchini cyclic contraction, the Hardy-Rogers cyclic contraction, and so on. Additionally, we prove the approximate fixed point results for rational type cyclic contraction mappings, which were discussed mainly in [35] and [37], in the setting of E-metric space. Also, a few examples are provided to demonstrate our findings. Subsequently, we discuss some applications of approximate fixed point results in the field of applied mathematics rigorously.

• Korean Journal of Mathematics
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• 제32권2호
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• pp.329-348
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• 2024

In this text, we investigate some fixed point results in double-controlled cone metric spaces using several contraction mappings such as the B-contraction, the Hardy-Rogers contraction, and so on. Additionally, we prove the same fixed point results by using rational type contraction mappings, which were discussed by the authors Dass. B. K and Gupta. S. Also, a few examples are included to illustrate the results. Finally, we discuss some applications that support our main results in the field of applied mathematics.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제17권2호
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• pp.157-165
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• 2010

Let (M,p) be a germ of a $C^{\infty}$ CR manifold of CR dimension n and CR codimension d. Suppose (M,p) admits a $C^{\infty}$ contraction at p. In this paper, we show that (M,p) is CR equivalent to a generic submanifold in $\mathbb{C}^{n+d}$ defined by a vector valued weighted homogeneous polynomial.

• 대한수학회보
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• 제54권5호
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• pp.1577-1596
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• 2017

We study contraction of points on ${\mathbb{P}}^1({\bar{\mathbb{Q}}})$ with certain control on local ramification indices, with application to the unramified curve correspondence problem initiated by Bogomolov and Tschinkel.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제24권2호
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• pp.79-98
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• 2017

We establish a coupled coincidence point theorem for generalized compatible pair of mappings $F,G:X{\times}X{\rightarrow}X$ under generalized symmetric Meir-Keeler contraction on a partially ordered metric space. We also deduce certain coupled fixed point results without mixed monotone property of $F:X{\times}X{\rightarrow}X$. An example supporting to our result has also been cited. As an application the solution of integral equations are obtain here to illustrate the usability of the obtained results. We improve, extend and generalize several known results.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제25권2호
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• pp.73-94
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• 2018

We introduce some new type of admissible mappings and prove a coupled coincidence point theorem by using newly defined concepts for generalized compatible pair of mappings satisfying ${\alpha}-{\psi}$ contraction on partially ordered metric spaces. We also prove the uniqueness of a coupled fixed point for such mappings in this setup. Furthermore, we give an example and an application to integral equations to demonstrate the applicability of the obtained results. Our results generalize some recent results in the literature.

• 한국융합학회논문지
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• 제7권1호
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• pp.105-111
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• 2016

본 연구에서는 실시간 초음파 영상 분석을 통해 세 가지 골반바닥근 수축 운동이 골반바닥근과 배가로근, 배속빗근, 그리고 배바깥빗근의 두께에 미치는 영향을 분석하였다. 골반바닥근과 몸통 근육들의 근두께는 초음파 영상 장비를 이용하여 안정시, 전통적 골반바닥근 수축[운동 A]시, 엉덩 모음근과 골반바닥근 동시 수축[운동 B]시, 실시간 초음파 영상장비를 이용한 골반바닥근 수축 유도[운동 C])시 측정하였다. 측정 결과, 다른 운동들에 비해 운동 C 수행 시 안정 시 보다 가장 크게 골반바닥근의 두께가 감소하였고(p<.05), 배가로근 역시 다른 운동들에 비해 운동 C 수행 시 안정 시 보다 근두께가 가장 크게 증가하였다(p<.05). 이와 같은 결과를 바탕으로, 본 연구에서 수행한 세 가지 골반바닥근 수축 방법들 중에서 실시간 초음파 영상 장비를 이용하여 골반바닥근 수축을 유도하는 운동 C 방법이 골반바닥근 수축을 통한 여성들의 오줌새기를 개선시킬 수 있는 방법으로 추천될 수 있을 것으로 사료된다.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제27권4호
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• pp.207-229
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• 2020

We establish fixed point and multidimensional fixed point results satisfying generalized (𝜓, 𝜃, 𝜑)-contraction on partially ordered non-Archimedean fuzzy metric spaces. By using this result we obtain the solution for periodic boundary value problems and give an example to show the degree of validity of our hypothesis. Our results generalize, extend and modify several well-known results in the literature.