• Korean Journal of Mathematics
• /
• 제29권3호
• /
• pp.455-466
• /
• 2021

Coupled fixed point results have attracted much attention among the researchers in recent times specially in the field of fuzzy metric spaces. In this paper we established a coupled fixed point result for weakly compatible mappings in G-fuzzy metric spaces. We have deduced a corollary to our main theorem. Our result also supported by examples.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제30권4호
• /
• pp.407-416
• /
• 2023

In this paper, we introduce the concept of C^*-algebra-valued quasi b-metric space and prove some existence and uniqueness theorems. Furthermore, we prove the Hyers-Ulam stability results for fixed point problems via C^*-algebra-valued extended quasi b-metric space.

• 한국정보통신학회논문지
• /
• 제19권12호
• /
• pp.3011-3016
• /
• 2015

단백질의 삼차원 구조를 단백질의 국부적 구조인 단백질 조각의 일차원적 나열로 표현하면, 단백질 구조의 분석, 모델링, 탐색, 예측 등에 효과적으로 응용될 수 있다. 본 논문에서는 자연 상태의 단백질 구조를 정확하게 나타낼 수 있는 단백질 조각 라이브러리를 구성하기 위하여, 대규모 단백질 구조 자료를 이용 할 수 있는 거리 척도들의 효과적인 조합을 조사하였다. 단백질 조각 라이브러리를 구성하기 위해 군집화를 사용하였다. 초기 군집화 단계에서는 가장 계산량이 작은 내부 알파탄소간 거리를 사용하였고, 군집의 확장단계에서는 내부 알파탄소간 거리, 비네-코시거리와 평균 제곱근 오차를 조합하여 사용하였다. 제안한 거리 척도의 조합으로 대규모 자료를 이용하여 단백질 조각 라이브러리를 구성하였다. 구성된 라이브러리를 사용하여 단백질 구조를 나타내는 실험에서 작은 평균 제곱근 오차가 발생함을 확인하였다.

• 전기학회논문지
• /
• 제62권11호
• /
• pp.1560-1565
• /
• 2013

This paper proposes the control method for compensating for unbalanced grid current and reducing a total harmonic distortion (THD) of the grid current at the three-phase grid-connected inverter systems under unbalancd and distorted grid voltage conditions. The THD of the grid current caused by grid voltage harmonics is derived by considering the phase delay and magnitude attenuation due to the hardware low-pass filter (LPF). The Cauchy-Schwarz inequality theory is used in order to search more easily for a minimum point of THD. Both the gain and angle of a compensation voltage at the minimum point of THD of the grid current are derived. The negative-sequence components in the three-phase unbalanced grid voltage are cancelled in order to achieve the balanced grid current. The simulation and experimental results show the validity of the proposed control methods.

• 대한수학회보
• /
• 제48권3호
• /
• pp.575-584
• /
• 2011

In Shahzad and Zegeye [Nonlinear Anal. 71 (2009), no. 3-4, 838-844], the authors introduced several Ishikawa iterative schemes for xed points of multi-valued mappings in Banach spaces, and proved some strong convergence theorems by using their iterations. In their proofs of the main results, it seems reasonable and simpler to prove for the iteration {$x_n$} to be a Cauchy sequence. In this paper, we modify and improve the proofs of the main results given by Shahzad and Zegeye. Two concrete examples also are given.

• Journal of applied mathematics & informatics
• /
• 제27권3_4호
• /
• pp.763-771
• /
• 2009

T.H. Kim, H.K. Xu, [Convergence of the modified Mann's iteration method for asymptotically strict pseudo-contractions, Nonlinear Anal.(2007),doi:l0.l016/j.na.2007.02.029.] proved the strong convergence for asymptotically strict pseudo-contractions by the classical CQ iterative method. In this paper, we apply the monotone CQ iterative method to modify the classical CQ iterative method of T.H. Kim, H.K. Xu, and to obtain the strong convergence theorems for asymptotically strict pseudo-contractions. In the proved process of this paper, Cauchy sequences method is used, so we complete the proof without using the demi-closedness principle, Opial's condition or others about weak topological technologies. In addition, we use a ingenious technology to avoid defining that F(T) is bounded. On the other hand, we relax the restriction on the control sequence of iterative scheme.

• East Asian mathematical journal
• /
• 제28권3호
• /
• pp.265-280
• /
• 2012

In this paper, we introduce an iterative sequence by using a hybrid generalized $f$-projection algorithm for finding a common element of the set of fixed points of a relatively weak nonexpansive mapping an the set of solutions of a generalized variational inequality in a Banach space. Our results extend and improve the recent ones announced by Y. Liu [Strong convergence theorems for variational inequalities and relatively weak nonexpansive mappings, J. Glob. Optim. 46 (2010), 319-329], J. Fan, X. Liu and J. Li [Iterative schemes for approximating solutions of generalized variational inequalities in Banach spaces, Nonlinear Analysis 70 (2009), 3997-4007], and many others.

• Kyungpook Mathematical Journal
• /
• 제51권4호
• /
• pp.365-374
• /
• 2011

Related fixed point theorems on two or three metric spaces have been prove in different ways. However, so for the related fixed point theorem on fuzzy metric space have not been proved. Sharma, Deshpande and Thakur were the first who have establishe related fixed point theorem for four mappings on two complete fuzzy metric spaces. Their work was maiden in this line. In this paper we obtain a related fixed point theorem for six mappings on three complete fuzzy metric spaces. Of course this is a new result on this line.

• 호남수학학술지
• /
• 제43권3호
• /
• pp.547-559
• /
• 2021

We first define the notions of filter continuous, filter sequentially continuous and filter strongly continuous in the framework of fuzzy normed space (FNS), and then we introduce the notion of filter slowly oscillating sequences in the setting of FNS and shows that this notion is stronger than slowly oscillating sequences. Further, we define the concept of filter slowly oscillating continuous functions, filter Cesàro slowly oscillating sequences as well as some other related notions in the aforementioned space and investigate several related results.