• 한국수학교육학회지시리즈B:순수및응용수학
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• 제31권3호
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• pp.267-281
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• 2024

Aim is to present fixed point theorems for contractive mappings in the settings of partial metric spaces equipped with graph. To substantiate the claims and importance of newly obtained fixed point results, we present an application and non-trivial examples. In the light of an application, we ensure the existence of a solution of the linear integral equation via fixed point results. In this way, we generalize, extend and modify some important recent fixed point results of the existing literature, that is, in the settings of partial metric spaces equipped with graph.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제28권3호
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• pp.253-266
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• 2021

In this paper, we generalize the notion of comparable set-valued mappings by introducing two types of 𝓡-closed set-valued mappings and utilize these to obtain an analogue of celebrated Mizoguchi and Takahashi fixed point theorem in relational metric spaces. To annotate the claims and usefulness of such findings, we prove fixed point results for both set-valued and single-valued mappings and validate the assertions with the help of examples. In this way, these investigations extend, modify and generalize some prominent recent fixed point results obtained by Tiammee and Suantai [24], Amini-Harandi and Emami [4], Prasad and Dimri [19] and several others in the settings of relational metric spaces.

• 한국항행학회논문지
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• 제16권2호
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• pp.197-203
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• 2012

본 논문에서는 자율형 운항 알고리즘을 활용하여 분리보증 해결과 충돌탐지거리와의 상관관계, 충돌회피 후 경로점 복귀와 시간제약 조건에 따른 항로 복귀, 3대 이상의 다중 충돌회피 상황의 분리보증 실험을 수행하여 운항환경에서 발생하는 실증적인 문제를 규명하였다. 실험결과 자유비행 충돌회피를 위하여 탐지거리 확대가 분리보증 해결과 운항 효율성 향상에 유리하며, 충돌회피 후 복귀기동 시 충돌예측상황에 따라 고정 경로점 복귀 또는 시간제약 조건을 적용한 항로 복귀기동을 선택할 수 있었다. 그리고 다중 충돌 상황에서 2도 이상의 선회각을 적용하면 분리보증 해결되었고, 최적의 선회각 선택 시에는 운항 효율성을 대폭 향상시킬 수 있었다.

• Korean Journal of Mathematics
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• 제30권4호
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• pp.571-592
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• 2022

By established a Banach space with the Hausdorff distance, we introduce the alternative fixed-point theorem to explore the existence and uniqueness of a fixed subset of Y and investigate the stability of set-valued Euler-Lagrange functional equations in this space. Some properties of the Hausdorff distance are furthermore explored by a short and simple way.

• 대한수학회보
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• 제37권1호
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• pp.21-36
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• 2000

In this article we study the relation between subinvariant submean and normal structure in a locally convex topological vector space. This extends in a natural way a result obtained recently by Lau and Takahashi. Our approach also follows closely theirs.

• ETRI Journal
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• 제33권5호
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• pp.689-694
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• 2011

In this paper, we study scheduling schemes for two-user two-way wireless relaying systems. Two transmission modes are considered: point-to-point direct transmission and two-way amplify-and-forward relaying. An optimal scheduling scheme that opportunistically selects the best transmission mode for each user is proposed to minimize the sum bit error rate (BER). The performance lower bound of the optimal scheduling scheme is analyzed, and closed-form expression of the lower-bound BER is derived. However, for optimal scheduling, the scheduler requires the knowledge of channel state information (CSI) of all links. To reduce the feedback information of CSI, we also propose a suboptimal scheduling scheme that selects the transmission mode using only the CSI of two direct links. Simulation results show that there are 4 dB to 8 dB gains for the proposed optimal and suboptimal schemes over the fixed direct transmission and fixed two-way relayed transmission scheme. The performance gap between the optimal and suboptimal scheduling schemes is small, which implies a good trade-off between implementation complexity and system performance.

• Nonlinear Functional Analysis and Applications
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• 제26권3호
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• pp.451-474
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• 2021

In this paper, we investigate a hybrid algorithm for finding zeros of the sum of maximal monotone operators and Lipschitz continuous monotone operators which is also a common fixed point problem for finite family of relatively quasi-nonexpansive mappings and split feasibility problem in uniformly convex real Banach spaces which are also uniformly smooth. The iterative algorithm employed in this paper is design in such a way that it does not require prior knowledge of operator norm. We prove a strong convergence result for approximating the solutions of the aforementioned problems and give applications of our main result to minimization problem and convexly constrained linear inverse problem.

• 정보처리학회논문지A
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• 제16A권3호
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• pp.159-168
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• 2009

본 논문에서는 데스크탑과 같이 OpenGL 기능이 전용 하드웨어로 제공되는 환경을 대상으로, OpenGL ES 1.1 표준을 효율적으로 구현하는 방법을 제시한다. OpenGL ES는 기존의 OpenGL 표준을 바탕으로 하였지만, 고정소수점 연산, 이를 수용하는 버퍼 기능, 완전히 새로운 텍스처 처리 등의 도입으로, 임베디드 시스템에 특화된 3차원 그래픽스 라이브러리로 새롭게 제정되어, 구글 안드로이드, 애플 아이폰, 플레이스테이션3 등에서 공식 3차원 그래픽스 API로 채택되었다. 본 논문에서는 OpenGL ES의 특징적 자료형인 고정소수점 표현에 대한 산술 연산들을 개선하였고, 특히 고정소수점 자료형들을 부동소수점 형태로 변환하여 하위의 OpenGL API로 넘기는 과정에서 표준을 준수하면서도 효율적인 처리가 가능하도록 하였다. 새로 도입된 고정소수점 자료형을 허용하는 버퍼 기능에 대해서는 변환된 자료들을 별도의 메모리 공간에서 관리하는 방식으로 속도 향상에 중점을 두었으며, 요구 사항이 완전히 달라진 텍스처 처리 부분은 전체 기능을 별도의 소프트웨어로 완전히 새롭게 구현하였다. 최종 구현 결과인 OpenGL ES 라이브러리는 OpenGL ES 1.1 표준에 규정된 총 200여 함수를 제공하며, 표준인증 테스트를 완전히 통과하여 1.1 표준을 완벽히 만족시켰음을 보였다. 수행 속도 면에서는 OpenGL ES에 특화된 응용 프로그램들에 대한 처리 속도 측정에서 기존의 구현 사례들에 비해 최대 33.147배의 속도 향상을 가져왔으며, 동일한 범주의 구현 사례들 중에서 가장 빠른 구현 결과이다.

• 대한수학회논문집
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• 제31권4호
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• pp.729-743
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• 2016

In the current work, the intuitionistic fuzzy version of Hyers-Ulam stability for a nonic functional equation by applying a fixed point method is investigated. This way shows that some fixed points of a suitable operator can be a nonic mapping.

• 복식문화연구
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• 제9권6호
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• pp.893-907
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• 2001

The main purpose is to study the effects of princess lines on different body types and to disguise any imperfection by using diverse princess lines. We separated testers body shapes into specific body types, H, Y by applying both the direct and the indirect measurements. These designs were evaluated by using the point ranking system method, and then average scores were obtained from these evaluations. Following are the results of the study: 1 These are the resulting illusion effects when the shoulder width of the Princess line was fixed. When the Princess line originated from 1/3 point of the armhole, body types Y appeared to show narrow waist width. A-line silhouette appeared to display the narrowest shoulder width. When the Princess line originated from 2/3 point of the armhole, body types H and Y appeared to exhibit narrowest waist widths, and the A-line silhouette once again displayed the narrowest shoulder width. When the Princess line originated from 1/2 point of the armhole, body type H appeared to exhibit narrow width; and H-line silhouette displayed the narrowest shoulder width 2. When the Princess lines waist w'4th was fixed in order to study illusion effects of waist widths. In this experiment, locations of Princess lines and widths of the skirt were varied. When the waist width was fixed at 6.5 cm, For the H body type, the Princess line location of 1/3 point of the armhole in H-line silhouette design exhibited the narrowest waist width. For the Y body type in A-line silhouette design, the Princess line locations of 1/3 and 1/2 points of the armhole exhibited the narrowest waist width because it displayed the hourglass effect. When the waist width was fixed at 10 cm, H body type did not exhibit any significant differences between designs. For Y body type, A-line silhouette design with the Princess line origination point at 1/3 down the armhole exhibited the narrowest waist width. 3. The illusion effects of the hip were studied by fixating the width of the skirt and varying the locations of Princess line and waist widths. In H-line skirt silhouette designs, all two body types exhibited narrow hips when the Princess line origination points were at 1/3 and 1/2 way down the armhole. For A-line skirt silhouette, H body type exhibited narrow hips when narrow waist design with the Princess line originating from 1/2 point in the shoulder was shown. Y body type exhibited narrow hips when narrow waist design with the Princess line originating from 1/3 point of the armhole and 2/3 point of the shoulder. 4. With both waist and skirt widths fixed, all two body types exhibited taller and slender postures when the Princess line originated from the shoulder compare to the armhole.