• 대한수학회지
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• 제52권2호
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• pp.373-388
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• 2015

In this paper, a novel parallel hybrid iterative method is proposed for finding a common element of the set of solutions of a system of equilibrium problems, the set of solutions of variational inequalities for inverse strongly monotone mappings and the set of fixed points of a finite family of nonexpansive mappings in Hilbert space. Strong convergence theorem is proved for the sequence generated by the scheme. Finally, a parallel iterative algorithm for two finite families of variational inequalities and nonexpansive mappings is established.

• 대한수학회보
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• 제39권3호
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• pp.455-469
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• 2002

The Purpose Of this Paper is to introduce the concept of a class of strictly successively hemicontractive mappings and construct certain stable and almost stable iteration procedures for the iterative approximation of fixed points for asymptotically nonexpansive and strictly successively hemicontractive mappings in Banach spaces.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1989년도 한국자동제어학술회의논문집; Seoul, Korea; 27-28 Oct. 1989
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• pp.1140-1145
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• 1989

A general dynamic iterative learning control scheme is proposed for a class of nonlinear systems. Relying on stabilizing high-gain feedback loop, it is possible to show the existence of Cauchy sequence of feedforward control input error with iteration numbers, which results in a uniform convergance of system state trajectory to the desired one.

• Journal of applied mathematics & informatics
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• 제12권1_2호
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• pp.119-127
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• 2003

The purpose of this paper is to study the necessary and sufficient conditions for the sequences of Ishikawa iterative sequences with mixed errors of asymptotically quasi-nonexpansive type mappings in Banach spaces to converge to a fixed point in Banach spaces. The results presented in this paper extend and improve the corresponding results of［l-4, 7-9].

• Journal of applied mathematics & informatics
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• 제27권3_4호
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• pp.557-566
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• 2009

In this paper, we present the three-step mean value iterative scheme and prove that the iteration sequence converge strongly to a common element of the set of fixed points of a nonexpansive mappings and the set of the solutions of the variational inclusions under some mild conditions. The results presented in this paper extend, generalize and improve the results of Noor and Huang and some others.

• East Asian mathematical journal
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• 제26권5호
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• pp.599-605
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• 2010

In this paper, we introduce an iterative method for finding a common element of the set of solutions of an equilibrium problem, the set of common fixed points of an asymptotically strictly pseudocontractive mapping in a Hilbert space. We show that the iterative sequence converges strongly to a common element of the two sets.

• 대한수학회지
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• 제44권4호
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• pp.823-834
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• 2007

We introduce a new system of generalized nonlinear mixed quasivariational inequalities and prove the existence and uniqueness of the solution for the system in Hilbert spaces. The main result of this paper is an extension and improvement of the well-known corresponding results in Kim-Kim [16], Noor [21]-[23] and Verma [24]-[26].

• 한국통신학회논문지
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• 제13권5호
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• pp.422-428
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• 1988

반복 학습제어시스템은 시행을 반복함으로써 유한시간의 목표출력에 대하여 추종해 가도록 하는 것이다. 본 논문에서는 이산시간 시스템에 있어서의 이산 시간 학습제어 입력을 구하는 방법을 제안한다. 여기서 현재시행의 제어입력은 바로 전시행에서 입력 sequence와 time-shift된 error sequence의 선형조합에 의하여 구해진다. 컴퓨터로 제어되는 이산시간 시스템에서 error신호의 미분조작이 필요한 연속시간 Betterment Process에 비하여 error sequence의 time-shift조작은 보다 간단해지며 컴퓨터 시뮬레이션을 통하여 그 유효성을 확인하였다.

• 대한전기학회논문지:전력기술부문A
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• 제52권7호
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• pp.355-362
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• 2003

The fault analysis problem of a distribution network has many difficulties comes from the unbalance of loads or networks and the lacks of load information. The unbalance of loads or networks make the fault location difficult when it use the classical sequence transformation. Moreover the amount of load in the distribution networks fluctuates with time. This paper introduces a recent fault location algorithm using iterative method which handle the unbalance of the problem. But, the fault location errors comes from the load fluctuations still left. For the real application of the new fault location algorithm in distribution networks, this paper studied the effect of the load fluctuations in the algorithm.

• 대한수학회보
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• 제43권2호
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• pp.319-331
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• 2006

In this paper, a new class of general strongly nonlinear variational-like inequalities was introduced and studied. The existence and uniqueness of solutions and a new iterative algorithm for the general strongly nonlinear variational-like inequality are established and suggested, respectively. The convergence criteria of the iterative sequence generated by the iterative algorithm are also given.