• Title/Summary/Keyword: Space Convergence

Search Result 2,195, Processing Time 0.026 seconds

CONVERGENCE THEOREMS FOR TWO FAMILIES OF WEAK RELATIVELY NONEXPANSIVE MAPPINGS AND A FAMILY OF EQUILIBRIUM PROBLEMS

  • Zhang, Xin;Su, Yongfu
    • Communications of the Korean Mathematical Society
    • /
    • v.25 no.4
    • /
    • pp.583-607
    • /
    • 2010
  • The purpose of this paper is to prove strong convergence theorems for common fixed points of two families of weak relatively nonexpansive mappings and a family of equilibrium problems by a new monotone hybrid method in Banach spaces. Because the hybrid method presented in this paper is monotone, so that the method of the proof is different from the original one. We shall give an example which is weak relatively nonexpansive mapping but not relatively nonexpansive mapping in Banach space $l^2$. Our results improve and extend the corresponding results announced in [W. Takahashi and K. Zembayashi, Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings, Fixed Point Theory Appl. (2008), Article ID 528476, 11 pages; doi:10.1155/2008/528476] and [Y. Su, Z. Wang, and H. Xu, Strong convergence theorems for a common fixed point of two hemi-relatively nonexpansive mappings, Nonlinear Anal. 71 (2009), no. 11, 5616?5628] and some other papers.

STRONG CONVERGENCE THEOREMS OF COMMON ELEMENTS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS IN BANACH SPACES

  • Wang, Ziming;Su, Yongfu
    • Journal of applied mathematics & informatics
    • /
    • v.28 no.3_4
    • /
    • pp.783-796
    • /
    • 2010
  • We introduce a new iterative algorithm for equilibrium and fixed point problems of three hemi-relatively nonexpansive mappings by the CQ hybrid method in Banach spaces, Our results improve and extend the corresponding results announced by Xiaolong Qin, Yeol Je Cho, Shin Min Kang [Xiaolong Qin, Yeol Je Cho, Shin Min Kang, Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces, Journal of Computational and Applied Mathematics 225 (2009) 20-30], P. Kumam, K. Wattanawitoon [P. Kumam, K. Wattanawitoon, Convergence theorems of a hybrid algorithm for equilibrium problems, Nonlinear Analysis: Hybrid Systems (2009), doi:10.1016/j.nahs.2009.02.006], W. Takahashi, K. Zembayashi [W. Takahashi, K. Zembayashi, Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings, Fixed Point Theory Appl. (2008) doi:10.1155/2008/528476] and others therein.

Iterative Adaptive Hybrid Image Restoration for Fast Convergence (하이브리드 고속 영상 복원 방식)

  • Ko, Kyel;Hong, Min-Cheol
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.35 no.9C
    • /
    • pp.743-747
    • /
    • 2010
  • This paper presents an iterative adaptive hybrid image restoration algorithm for fast convergence. The local variance, mean, and maximum value are used to constrain the solution space. These parameters are computed at each iteration step using partially restored image at each iteration, and they are used to impose the degree of local smoothness on the solution. The resulting iterative algorithm exhibits increased convergence speed and better performance than typical regularized constrained least squares (RCLS) approach.

A convergence Control Method in the Interactive Multiple Objective Linear Programming(MOLP) Procedure (상호작용식 다목적 선형계획과정에서의 수렴 통제 방법)

  • Park, Young Woong
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.20 no.43
    • /
    • pp.299-319
    • /
    • 1997
  • Since a convergence strategy in interactive procedure is the origin of a lot of the restrictions and inconvenience of many methods, a new flexible convergence strategy is necessary for developing that is applicable for interactive MOLP as well as interactive multiple objective integer programming(MOIP). A method for computing the volume of the interval defined subsets of weighting vector space is developed using Sobol's LP$_{i}$, Generator. Since the interactive procedure requires a number of iterations, with a fixed number of solutions presented per iteration, a convergence strategy is needed to control the rate at which the interactive procedure converges to a final solution. Thus, in this paper, a new convergency strategy is developed.

  • PDF

A Research on Re-examining Discriminator Design Space for Performance Improvement of ESRGAN (ESRGAN의 성능 향상을 위한 판별자 설계 공간 재검토에 관한 연구)

  • Sung-Wook Park;Jun-Yeong Kim;Jun Park;Se-Hoon Jung;Chun-Bo Sim
    • Proceedings of the Korea Information Processing Society Conference
    • /
    • 2023.05a
    • /
    • pp.513-514
    • /
    • 2023
  • 초해상은 저해상도의 영상을 고해상도 영상으로 합성하는 기술이다. 이 기술에 딥러닝이 적용되어, 2014년에는 SRCNN(Super Resolution Convolutional Neural Network) 모델이 발표됐다. 이후에는 SRCAE(Super Resolution Convolutional Autoencoders)와 GAN(Generative Adversarial Networks)을 기반으로 한 SRGAN(Super Resolution Generative Adversarial Networks) 등, SRCNN의 성능을 능가하는 모델들이 발표됐다. ESRGAN(Enhanced Super Resolution Generative Adversarial Networks)은 SRGAN 모델의 성능을 개선했지만, 완벽한 성능을 내지 못하는 문제점이 있다. 이에 본 논문에서는 판별자(Discriminator) 구조를 변경하여 ESRGAN의 성능을 개선한다. 실험 결과, 제안하는 모델이 ESRGAN보다 더 높은 성능을 보일 것으로 기대된다.

A Qualitative Case Study on the Application of Spatial Design in the One-Person Housing Space by Combining BIM Design Technology (BIM 설계 기술을 융합한 1인 주거공간디자인 사례연구)

  • Kim, Ji Eun;Park, Eun Soo
    • Korea Science and Art Forum
    • /
    • v.37 no.2
    • /
    • pp.101-112
    • /
    • 2019
  • Regardless of the size, the role and meaning of the space required for human daily life are the same. Especially, as the spatial design is small and the size is small, the careful design and problem solving are needed to enable comfortable and convenient life even in a narrow space. The purpose of this study is to design a convergence model that utilizes the advantages of BIM, which can simulate actual design based on a new one-person housing space design plan optimized for one person. This study applied the BIM design technology to one-person housing 2D design, and the suitability examination and the space optimization design of the interior design were carried out. As a result of the study, utility of space improvement, consideration of housing environment, interference check, application of eco-friendly housing system, and MEP design item were derived. Therefore, BIM space design in interior space has been confirmed as a way to overcome limit and inefficiency of 2D design which is applied to actual space by various space design elements. Based on the results of this study, the One-person housing space model, which is applied to the study, is a pure creation designed based on various one-person housing of social and cultural peculiarities derived from previous research. This design example was applied to BIM technology to confirm the detailed and practical design possibility.

3D Accuracy Analysis of Mobile Phone-based Stereo Images (모바일폰 기반 스테레오 영상에서 산출된 3차원 정보의 정확도 분석)

  • Ahn, Heeran;Kim, Jae-In;Kim, Taejung
    • Journal of Broadcast Engineering
    • /
    • v.19 no.5
    • /
    • pp.677-686
    • /
    • 2014
  • This paper analyzes the 3D accuracy of stereo images captured from a mobile phone. For 3D accuracy evaluation, we have compared the accuracy result according to the amount of the convergence angle. In order to calculate the 3D model space coordinate of control points, we perform inner orientation, distortion correction and image geometry estimation. And the quantitative 3D accuracy was evaluated by transforming the 3D model space coordinate into the 3D object space coordinate. The result showed that relatively precise 3D information is generated in more than $17^{\circ}$ convergence angle. Consequently, it is necessary to set up stereo model structure consisting adequate convergence angle as an measurement distance and a baseline distance for accurate 3D information generation. It is expected that the result would be used to stereoscopic 3D contents and 3D reconstruction from images captured by a mobile phone camera.

Administration Process Extension and Public Data Convergence Management (행정 프로세스 확장에 따른 공공 데이터 융합 관리 방안)

  • Kim, Sang Wook
    • Journal of Digital Convergence
    • /
    • v.13 no.5
    • /
    • pp.41-49
    • /
    • 2015
  • This study explores the possibility of innovative government's administrative services to the public by reflecting the social implications of 'Big Data'. In particular, the idea of OPP (Order Penetration Point) and SOP (Service Offering Point) as a management scheme for the extension of administrative processes into the resident's living space is proposed to overcome the inherent limits of e-government service quality, the root cause of which is believed in the segregation of two spaces - the resident's living space and the government's offices. Furthermore, a discussion is made on how to integrate sensor data from the resident's living space with traditional administrative database, which is a new challenge in the course of synchronizing the two spaces. The implications on the process extension are also provided centering around the shift from reactive to proactive services.

A Study on the Modern Architecture Space Represented in Melodrama Films of the Late 1950s (1950년대 말 멜로드라마에 묘사된 근대건축공간에 대한 연구)

  • Moon, Guen-Jong
    • Journal of the Korea Convergence Society
    • /
    • v.10 no.4
    • /
    • pp.115-121
    • /
    • 2019
  • The purpose of this study is to analyze the 'Modern Architecture Space' represented in Korean melodrama films of the late 1950s. It is assumed that popular films reflect the residential culture, architectural spaces and human activities of those days. For the analysis, a pool of 5 Korean melodramas of the late 1950s was constructed. In these melodramas, the modern architectural spaces were represented as the following: 1) The modern-style residential spaces were emphasized to reflect the interest and longing of the public for western lifestyle. 2) The western non-residential spaces such as work spaces and commercial spaces were emphasized, especially its interior design of western image.

STRONG CONVERGENCE THEOREM FOR UNIFORMLY L-LIPSCHITZIAN MAPPINGS IN BANACH SPACES

  • Qin, Xiaolong;Kang, Shin Min;Shang, Meijuan
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.21 no.3
    • /
    • pp.293-299
    • /
    • 2008
  • In this paper, we prove strong convergence theorems for a finite family of uniformly L-Lipschitzian mappings by a cyclic iterative algorithm in the framework of Banach spaces. Our results improve and extend the recent ones announced by many others.

  • PDF