• Bulletin of the Korean Mathematical Society
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• v.47 no.2
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• pp.295-305
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• 2010

In this paper, we show that the modified Mann iteration with errors converges strongly to fixed point for uniformly L-Lipschitzian asymptotically $\Phi$-pseudocontractive mappings in real Banach spaces. Meanwhile, it is proved that the convergence of Mann and Ishikawa iterations is equivalent for uniformly L-Lipschitzian asymptotically $\Phi$-pseudocontractive mappings in real Banach spaces. Finally, we obtain the convergence theorems of Ishikawa iterative sequence and the modified Ishikawa iterative process with errors.

• Bulletin of the Korean Mathematical Society
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• v.44 no.4
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• pp.861-870
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• 2007

In this paper, under suitable conditions, we show that the new class of iterative process with errors introduced by Li et al converges strongly to the unique solution of the equation involving strongly accretive operators in real Banach spaces. Furthermore, we prove that it is equivalent to the classical Ishikawa iterative sequence with errors.

• The Research Journal of the Costume Culture
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• v.28 no.6
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• pp.890-911
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• 2020

This study proposed a base framework for creating sustainable designs with textile production waste and unused neckties with the "design thinking" approach, which is an iterative process. It aimed to set an example of how fashion designers can plan and manage their clothing design processes in a more sustainable way by recycling textile production scraps and unused neckties into unique clothing pieces with the upcycling method. Unused neckties and upholstery scraps were turned into skirts, blouses, and dresses by using creative techniques in line with current fashion trends. In addition, the five-stage iterative design process followed was explained, and the way in which the waste textile materials gained value by being converted into unique garments was discussed in terms of the user and the designer. Through the study, it was observed that the smallest amount of textile waste can be transformed into upcycled clothing via the iterative process, and original, value-added products enjoyed by consumers can be created. In addition, it was observed that the design thinking approach improves the understanding of the context of the problem, creativity in the generation of insights and solutions, skills to materialize those solutions through iterative prototyping, and the ability to combine these factors. Promising ideas to help designers develop recycling strategies were also provided.

• East Asian mathematical journal
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• v.25 no.1
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• pp.27-37
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• 2009

In this paper, we introduce an iterative method for a pair of nonexpansive mappings. Strong convergence theorems are established in a real uniformly smooth Banach space.

• Korean Journal of Mathematics
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• v.18 no.3
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• pp.213-227
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• 2010

Convergence of an implicit iterative process is investigated for nonexpansive mappings. Strong and weak convergence theorems of common fixed points of two finite families of nonexpansive mappings are established in the framework of Banach spaces.

• Bulletin of the Korean Mathematical Society
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• v.47 no.6
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• pp.1259-1268
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• 2010

In this paper, we consider an implicit iterative process with errors for an in nite family of strict pseudocontractions. Strong convergence theorems are established in the framework of Banach spaces. The results presented in this paper improve and extend the recent ones announced by many others.

• Journal of the Korea Computer Industry Society
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• v.5 no.9
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• pp.929-940
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• 2004

• Proceedings of the Korean Society of Computer Information Conference
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• 2016.07a
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• pp.191-193
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• 2016

본 논문에서는 SSD 저장장치를 포함하는 하둡의 Iterative Processing에 대한 성능 분석 결과를 소개한다. 하둡은 맵 리듀스 병렬 프로그래밍 모델을 통해 Batch Processing에 특화된 구조를 가지고 있는 프레임 워크이다. 이는 병렬/분산 환경에서 큰 성능향상을 보장하지만, 반복 작업을 수행하는 Iterative Processing에 대하여는 성능이 낮아지는 문제가 존재하고 있다. 이에 본 논문에서는 점차 낮아지는 가격으로 인해 하둡시스템에 적용 가능성이 타진되는 SSD를 통해 반복 작업의 성능이슈를 해결할 수 있는지 확인하고, SSD를 통한 성능향상의 요소가 존재하는지 알아보고자 실험을 진행하였다. 실험에서는 Batch Processing인 word count와 Iterative Processing인 Page Rank 알고리즘을 MapReduce로 구현하고 데이터 크기에 따른 성능 향상도를 측정하였고, SSD 추가와 같은 하드웨어적인 성능을 통한 하둡의 반복 작업은 큰 효율을 기대하기가 어렵다는 결론을 보였다.

• Journal of applied mathematics & informatics
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• v.27 no.3_4
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• pp.763-771
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• 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.

• Communications of the Korean Mathematical Society
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• v.26 no.1
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• pp.51-65
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• 2011

In this paper, a composite iterative process is introduced for a generalized equilibrium problem and a pair of nonexpansive mappings. It is proved that the sequence generated in the purposed composite iterative process converges strongly to a common element of the solution set of a generalized equilibrium problem and of the common xed point of a pair of nonexpansive mappings.