• Title/Summary/Keyword: Space Convergence

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FUZZY L-CONVERGENCE SPACE

  • Min, Kyung-Chan
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.06a
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    • pp.95-100
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    • 1998
  • A notion of 'fuzzy' convergence of filters on a set is introduced. We show that the collection of fuzzy L-limit spaces forms a cartesian closed topological category and obtain an interesting relationship between the notions of 'fuzzy' convergence structure and convergence approach spaces.

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THE N-TH PRETOPOLOGICAL MODIFICATION OF CONVERGENCE SPACES

  • Park, Sang-Ho
    • Communications of the Korean Mathematical Society
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    • v.11 no.4
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    • pp.1087-1094
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    • 1996
  • In this paper, we introduce the notion of the n-th pretopological modification. Also, we find some properties which hold between convergence quotient maps and n-th pretopological modifications.

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SEMI-CONVERGENCE OF p-STACKS

  • Min, Won-Keun
    • Communications of the Korean Mathematical Society
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    • v.18 no.3
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    • pp.533-540
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    • 2003
  • We introduce the notion of semi-convergence of p-stacks and by using that notion we characterize the semi-interior, semiclosure, separation axioms and semi-continuity on a topological space. Also we introduce a new notion of p-somicompactness and investigate its properties in terms of semi-convergence of p-stacks.

Fibrewise Hausdorff Convergence Spaces

  • Lee, Seok Jong;Lee, Eun Pyo
    • Journal of the Chungcheong Mathematical Society
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    • v.5 no.1
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    • pp.167-172
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    • 1992
  • In this paper, we introduce $T_0$, $T_1$ and Hausdorff axioms in fibrewise convergence spaces as a generalization of fibrewise topological spaces and of convergence spaces. Furthermore we investigate some results about the fibrewise Hausdorff convergence space.

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EXPANDING THE CONVERGENCE DOMAIN FOR CHUN-STANICA-NETA FAMILY OF THIRD ORDER METHODS IN BANACH SPACES

  • Argyros, Ioannis Konstantinos;George, Santhosh;Magrenan, Angel Alberto
    • Journal of the Korean Mathematical Society
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    • v.52 no.1
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    • pp.23-41
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    • 2015
  • We present a semilocal convergence analysis of a third order method for approximating a locally unique solution of an equation in a Banach space setting. Recently, this method was studied by Chun, Stanica and Neta. These authors extended earlier results by Kou, Li and others. Our convergence analysis extends the applicability of these methods under less computational cost and weaker convergence criteria. Numerical examples are also presented to show that the earlier results cannot apply to solve these equations.

ON THE SEMI-LOCAL CONVERGENCE OF CONTRAHARMONIC-MEAN NEWTON'S METHOD (CHMN)

  • Argyros, Ioannis K.;Singh, Manoj Kumar
    • Communications of the Korean Mathematical Society
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    • v.37 no.4
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    • pp.1009-1023
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    • 2022
  • The main objective of this work is to investigate the study of the local and semi-local convergence of the contraharmonic-mean Newton's method (CHMN) for solving nonlinear equations in a Banach space. We have performed the semi-local convergence analysis by using generalized conditions. We examine the theoretical results by comparing the CHN method with the Newton's method and other third order methods by Weerakoon et al. using some test functions. The theoretical and numerical results are also supported by the basins of attraction for a selected test function.

Expansion of the Web Space (웹 공간의 확장)

  • Kong, Heon-Tag;Ko, Sung-Bum
    • Journal of the Korea Convergence Society
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    • v.2 no.3
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    • pp.25-32
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    • 2011
  • Current Web space does not provide standard integrated environment. This, especially in case of large task, can be a cause of low performance of task processing. We proposed an integrated space(called SB space) in this paper through which various actors can share their mutual process in processing a task together. SB space can be installed as a Web site and can be used effectively with Web space. This actually means the expansion of the Web space, which allows us to improve the productivity of the Web space notably. In this paper, this is proved through a concrete case study.

Multiple Human Recognition for Networked Camera based Interactive Control in IoT Space

  • Jin, Taeseok
    • Journal of the Korean Society of Industry Convergence
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    • v.22 no.1
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    • pp.39-45
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    • 2019
  • We propose an active color model based method for tracking motions of multiple human using a networked multiple-camera system in IoT space as a human-robot coexistent system. An IoT space is a space where many intelligent devices, such as computers and sensors(color CCD cameras for example), are distributed. Human beings can be a part of IoT space as well. One of the main goals of IoT space is to assist humans and to do different services for them. In order to be capable of doing that, IoT space must be able to do different human related tasks. One of them is to identify and track multiple objects seamlessly. In the environment where many camera modules are distributed on network, it is important to identify object in order to track it, because different cameras may be needed as object moves throughout the space and IoT space should determine the appropriate one. This paper describes appearance based unknown object tracking with the distributed vision system in IoT space. First, we discuss how object color information is obtained and how the color appearance based model is constructed from this data. Then, we discuss the global color model based on the local color information. The process of learning within global model and the experimental results are also presented.

A Study on Space Utilization according to Changes in Non-face-to-Face Consumer Use : Focused on bank offices

  • Hwang, Sungi;Ryu, Gihwan;Yun, Daiyeol;Kim, Heeyoung
    • International Journal of Advanced Culture Technology
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    • v.8 no.4
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    • pp.271-278
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    • 2020
  • Modern financial services go beyond the stage of internet banking, and new concepts of financial transactions such as Internet of Things, mobile banking, electronic payments, and fintech have emerged. As a result, banks are less influential in financial transactions, and changes are being demanded. In the present era, the basic business of banks has decreased, and it is transforming into a space where both consumer finance work and reside. The bank office stands for the brand image of the bank, and it is represented by trust with customers in the basic business of financial transactions, and the rise in real estate value is a natural social phenomenon due to the nature of the location and location of real estate owned by the bank. The business method and space of the bank office that meets the new paradigm of the modern society is an inefficient space only for the convenience and rest of consumers, but it must be used as a variety of spaces suitable for the region to increase the functional value of the bank office. Through this study, as a convenience space for consumers, various service facilities should be introduced to understand the characteristics of the region as a convenience space for consumers, and various service facilities should be introduced to meet the needs of consumers, and the bank office should be improved as a complex service space for local residents.

GENERALIZED CONDITIONS FOR THE CONVERGENCE OF INEXACT NEWTON-LIKE METHODS ON BANACH SPACES WITH A CONVERGENCE STRUCTURE AND APPLICATIONS

  • Argyros, Ioannis-K.
    • Journal of applied mathematics & informatics
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    • v.5 no.2
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    • pp.433-448
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    • 1998
  • In this study we use inexact Newton-like methods to find solutions of nonlinear operator equations on Banach spaces with a convergence structure. Our technique involves the introduction of a generalized norm as an operator from a linear space into a par-tially ordered Banach space. In this way the metric properties of the examined problem can be analyzed more precisely. Moreover this approach allows us to derive from the same theorem on the one hand semi-local results of kantorovich-type and on the other hand 2global results based on monotonicity considerations. By imposing very general Lipschitz-like conditions on the operators involved on the other hand by choosing our operators appropriately we can find sharper error bounds on the distances involved than before. Furthermore we show that special cases of our results reduce to the corresponding ones already in the literature. Finally our results are used to solve integral equations that cannot be solved with existing methods.