• 대한수학회지
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• 제44권4호
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• pp.845-854
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• 2007

In this paper we investigate relationships between closure-type and convergence-type properties of hyperspaces over a space X and covering properties of X.

• Kyungpook Mathematical Journal
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• 제61권2호
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• pp.279-308
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• 2021

The purpose of this paper is to introduce a class of contractive pairs of mappings satisfying a Zamfirescu-type inequality, but controlled with altering distance functions and with parameters satisfying the so-called Geraghty condition in the framework of b-metric spaces. For this class of mappings we prove the existence of points of coincidence, the convergence and stability of the Jungck, Jungck-Mann and Jungck-Ishikawa iterative processes and the existence and uniqueness of its common fixed points.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제15권1호
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• pp.35-45
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• 2008

In cases sufficient conditions for the semilocal convergence of Newtonlike methods are violated, we start with a modified Newton-like method (whose weaker convergence conditions hold) until we stop at a certain finite step. Then using as a starting guess the point found above we show convergence of the Newtonlike method to a locally unique solution of a nonlinear operator equation in a Banach space setting. A numerical example is also provided.

• Korean Journal of Mathematics
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• 제27권4호
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• pp.929-947
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• 2019

In the present paper, we investigate the convergence, equivalence of convergence, rate of convergence and data dependence results using a three step iteration process for mappings satisfying certain contractive condition in hyperbolic spaces. Also we give nontrivial examples for the rate of convergence and data dependence results to show effciency of three step iteration process. The results obtained in this paper may be interpreted as a refinement and improvement of the previously known results.

• 대한수학회보
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• 제40권3호
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• pp.351-363
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• 2003

In the present paper, some general convergence principles are established in metric spaces and then theses principles are applied to the convergence of the iterative sequences for approximating fixed points of certain classes of mappings. By virtue of our principles, most of the latest results obtained by several authors can be deduced easily.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2001년도 ICCAS
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• pp.176.4-176
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• 2001

In this paper, a novel type of iterative learning controller is studied. The proposed learning algorithm utilizes not only the error signal of the previous iteration but also the delayed error signal of the current iteration. The delayed error signal is adopted to improve the convergence speed. The convergence condition is examined and the result shows that the proposed learning algorithm shows the fast convergence speed under the same convergence condition of the traditional iterative learning algorithm. The simulation examples are presented to confirm the validity of the proposed ILC algorithm.

• Journal of applied mathematics & informatics
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• 제6권3호
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• pp.685-696
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• 1999

We present local and semilocal convergence results for New-ton's method in a Banach space setting. In particular using Lipschitz-type assumptions on the second Frechet-derivative we find results con-cerning the radius of convergence of Newton's method. Such results are useful in the context of predictor-corrector continuation procedures. Finally we provide numerical examples to show that our results can ap-ply where earlier ones using Lipschitz assumption on the first Frechet-derivative fail.

• Journal of applied mathematics & informatics
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• 제22권1_2호
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• pp.133-148
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• 2006

This paper proposes a smoothing method for symmetric conic linear programming (SCLP). We first characterize the central path conditions for SCLP problems with the help of Chen-Harker-Kanzow-Smale smoothing function. A smoothing-type algorithm is constructed based on this characterization and the global convergence and locally quadratic convergence for the proposed algorithm are demonstrated.

• 충청수학회지
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• 제24권3호
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• pp.469-480
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• 2011

Park, Ryu, and Lee recently defined a Henstock-type integral, which lies entirely between the McShane and the Henstock integrals. This paper presents two characterizing convergence conditions for this integral, and derives other known convergence theorems as corollaries.

• 한국IT서비스학회지
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• 제16권1호
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• pp.83-98
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• 2017

Broadcasting telecommunication convergence service means a service where broadcasting and telecommunication converge. Recently with the advancement of technology, broadcasting telecommunication convergence service has been evolving to provide multimedia contents through various devices including wired and wireless network environment. Up to now, IPTV and smartphone-based convergence services have been dominant, but more developed and evolved technology and media will appear in the future. In order to derive the next generation broadcasting telecommunication convergence service supporting model, this study derives an evaluation model of broadcasting telecommunication convergence service and presents a case of evaluation of 30 demonstration projects supported by the Korean government from 2010 to 2014. In this study, we derive an evaluation model and evaluate the demonstration projects by reflecting the position of the main stake holders of service such as users, experts, and related organizational institutions, away from the existing simple service evaluation method. Expert questionnaire used AHP (Analytic Hierarchy Process) method, and the evaluation results were divided into upper and lower groups to provide key implications by a gap analysis. From this analysis this study suggests guidelines for next generation broadcasting telecommunication service support projects. The next generation broadcasting convergence service business should be based on open platform type in terms of service type. In terms of service media, it should be centered on open devices such as smart phones and smart TVs. In terms of types of business responsibilities, it should be led by public organizations and it is necessary to increase the fund matching ratio by at least 62% when the private sector participates.