• Korean Journal of Mathematics
• /
• 제17권1호
• /
• pp.91-102
• /
• 2009

Using the fixed point method, we prove the generalized Hyers-Ulam stability of homomorphisms in Banach algebras and of derivations on Banach algebras for the 3-variable Cauchy functional equation.

• 충청수학회지
• /
• 제18권1호
• /
• pp.101-116
• /
• 2005

Using the iterative method, we derive an controller realization of the bilinear system, which is resulted from the system reformulation. We utilize Banach Fixed Point Theorem to support proposed controller, and the simulation results are also illustrated to verify usefulness of this technique.

• 충청수학회지
• /
• 제32권1호
• /
• pp.1-14
• /
• 2019

We prove the generalized Hyers-Ulam-Rassias stability problem of the quadratic functional equation with involution in the fuzzy quasi ${\beta}$-normed space by using the fixed point method.

• Korean Journal of Mathematics
• /
• 제31권1호
• /
• pp.121-122
• /
• 2023

• 대한전자공학회:학술대회논문집
• /
• 대한전자공학회 2007년도 하계종합학술대회 논문집
• /
• pp.305-306
• /
• 2007

This paper proposes an automatic conversion method from floating-point value computations to fixed-point value computations for implementing automatic speech recognition (ASR) algorithms in embedded device.

• 한국통신학회논문지
• /
• 제31권7C호
• /
• pp.735-742
• /
• 2006

본 논문에서는 IEEE 802.16e OFDMA(Orthogonal Frequency Division Multiplexing-FDMA) TDD(Time Division Duplexing) 시스템 단말 수신기의 입력 신호에 대하여 DC 오프셋 보상, 자동 주파수 조정, 자동 이득 조정을 수행하는 DFE(Digital Front End)의 동작 원리와 Fixed-point 설계 방법에 대하여 설명하고, DFE의 성능을 ITU-R M. 1225 Veh-A 60km/h 채널 환경에서 시뮬레이션 결과를 통해 분석한다. DFE의 Fixed-point 설계시, 시스템의 성능에 영향을 주지 않는 범위 내에서 연산을 통해 출력되는 bit의 크기를 줄임으로서때 H/W 동작의 복잡도를 줄이고, Acquisition time과 안정도 간의 Trade-off를 고려하여 Loop Filter를 설계함으로서 DFE 의 Fixed-point 설계를 최적화 한다.

• Journal of applied mathematics & informatics
• /
• 제29권1_2호
• /
• pp.61-74
• /
• 2011

In this paper, we introduce a new iteration method based on the hybrid method in mathematical programming and the descent-like method for finding a common element of the solution set for a variational inequality and the set of common fixed points of a nonexpansive semigroup in Hilbert spaces. We obtain a strong convergence for the sequence generated by our method in Hilbert spaces. The result in this paper modifies and improves some well-known results in the literature for a more general problem.

• 충청수학회지
• /
• 제27권2호
• /
• pp.261-269
• /
• 2014

In this paper, using fixed point method, we prove the Hyers-Ulam stability of the following functional equation $$(k+1)f(x+y)+f(x+{\sigma}(y))+kf({\sigma}(x)+y)-2(k+1)f(x)-2(k+1)f(y)=0$$ with an involution ${\sigma}$ for a fixed non-zero real number k with $k{\neq}-1$.

• Journal of applied mathematics & informatics
• /
• 제29권5_6호
• /
• pp.1179-1191
• /
• 2011

In this paper, we introduce a new iterative scheme for finding a common element of the set of fixed points of a finite family of strict pseudocontractions and the solution set of pseudomonotone and Lipschitz-type continuous equilibrium problems. The scheme is based on the idea of extragradient methods and fixed point iteration methods. We show that the iterative sequences generated by this algorithm converge strongly to the common element in a real Hilbert space.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제23권3호
• /
• pp.265-285
• /
• 2016

In this paper, we introduce functional equations in G-normed spaces and we prove the Hyers-Ulam stability of an additive-quadratic-cubic-quartic functional equation in complete G-normed spaces by using the fixed point method.