• Title/Summary/Keyword: convergence theory

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FUZZY CONVERGENCE THEORY - II

  • MONDAL K. K.;SAMANTA S. K.
    • The Pure and Applied Mathematics
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    • v.12 no.2
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    • pp.105-124
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    • 2005
  • In this paper convergence of fuzzy filters and graded fuzzy filters have been studied in graded L-fuzzy topological spaces.

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FUZZY CONVERGENCE THEORY - I

  • MONDAL K. K.;SAMANTA S. K.
    • The Pure and Applied Mathematics
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    • v.12 no.1
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    • pp.75-91
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    • 2005
  • The main objective of this paper is to introduce the gradation of neigh-bourhoodness in L-fuzzy topology and to introduce the fuzziness in the concept of convergence of L-fuzzy nets.

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A REMARK ON CONVERGENCE THEORY FOR ITERATIVE PROCESSES OF PROINOV CONTRACTION

  • Bisht, Ravindra K.
    • Communications of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.1157-1162
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    • 2019
  • In this paper, we extend the study of general convergence theorems for the Picard iteration of Proinov contraction from the class of continuous mappings to the class of discontinuous mappings. As a by product we provide a new affirmative answer to the open problem posed in [20].

A DUAL ALGORITHM FOR MINIMAX PROBLEMS

  • HE SUXIANG
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.401-418
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    • 2005
  • In this paper, a dual algorithm, based on a smoothing function of Bertsekas (1982), is established for solving unconstrained minimax problems. It is proven that a sequence of points, generated by solving a sequence of unconstrained minimizers of the smoothing function with changing parameter t, converges with Q-superlinear rate to a Kuhn-Thcker point locally under some mild conditions. The relationship between the condition number of the Hessian matrix of the smoothing function and the parameter is studied, which also validates the convergence theory. Finally the numerical results are reported to show the effectiveness of this algorithm.

MULTIGRID CONVERGENCE THEORY FOR FINITE ELEMENT/FINITE VOLUME METHOD FOR ELLIPTIC PROBLEMS:A SURVEY

  • Kwak, Do-Y.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.12 no.2
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    • pp.69-79
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    • 2008
  • Multigrid methods finite element/finite volume methods and their convergence properties are reviewed in a general setting. Some early theoretical results in simple finite element methods in variational setting method are given and extension to nonnested-noninherited forms are presented. Finally, the parallel theory for nonconforming element[13] and for cell centered finite difference methods [15, 23] are discussed.

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Euler-Maruyama Numerical solution of some stochastic functional differential equations

  • Ahmed, Hamdy M.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.11 no.1
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    • pp.13-30
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    • 2007
  • In this paper we study the numerical solutions of the stochastic functional differential equations of the following form $$du(x,\;t)\;=\;f(x,\;t,\;u_t)dt\;+\;g(x,\;t,\;u_t)dB(t),\;t\;>\;0$$ with initial data $u(x,\;0)\;=\;u_0(x)\;=\;{\xi}\;{\in}\;L^p_{F_0}\;([-{\tau},0];\;R^n)$. Here $x\;{\in}\;R^n$, ($R^n$ is the ${\nu}\;-\;dimenional$ Euclidean space), $f\;:\;C([-{\tau},\;0];\;R^n)\;{\times}\;R^{{\nu}+1}\;{\rightarrow}\;R^n,\;g\;:\;C([-{\tau},\;0];\;R^n)\;{\times}\;R^{{\nu}+1}\;{\rightarrow}\;R^{n{\times}m},\;u(x,\;t)\;{\in}\;R^n$ for each $t,\;u_t\;=\;u(x,\;t\;+\;{\theta})\;:\;-{\tau}\;{\leq}\;{\theta}\;{\leq}\;0\;{\in}\;C([-{\tau},\;0];\;R^n)$, and B(t) is an m-dimensional Brownian motion.

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A Study on Convergence Education of IT & Design for Training Creative Talent (창의적 인재 양성을 위한 IT & 디자인 분야의 융합 교육 연구)

  • Kwon, Hyo-Jeong
    • Journal of Korea Multimedia Society
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    • v.17 no.11
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    • pp.1354-1362
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    • 2014
  • In order to solve the complicated problems faced by the spread of diversified information devices and changes in the user environment in recent years, the importance of training creative talent as well as the need for interdisciplinary convergent approach have emerged. As a future technology development project, convergence education with the design sector for training creative talent in the IT field is also urgent. In this study, we recognized the importance and problems of the convergent approach between IT and design sector by examining the convergence theory and cases with a focus on effective creativity development and sought a new direction for convergence education in the future by investigating the awareness on the convergent approach of college students and analyzing the results. This will be able to have significance as a basic study for discovering creative and innovative convergent talent in the IT and design sector in the future and strengthening basic competence.

A Study on Theory of Planned Behavior of Accounting Information Classes in the Digital Convergence Era (디지털 융복합 시대에 회계정보수업의 TPB에 관한 연구)

  • Lee, Shin-Nam
    • Journal of Digital Convergence
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    • v.13 no.9
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    • pp.169-175
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    • 2015
  • The significant changes of convergence study in the 21st century is the shift from theoretical-based instruction to computer-based instruction. This study investigated the student's cognitive engagement in TPB(Theory of Planned Behavior) of accounting information classes in the Digital Convergence Era. Hypothesis test was conducted from 99 accounting information learners from four year course university in the Gyeonggi-do. A questionnaire was given and analyzed. The results showed. First, the TPB variables han a positive effect on intrinsic curiosity of students. Second, the subjective norm of TPB variables could develop student's enjoyment. Subject norm could have a positive effect on enjoyment. The results of this study may contribute to propose desirable ways of improving the psychological states in the relationship between TPB and cognitive engagement. In the future, variables of cognitive engagement will be compliment to analyze.

The Employee's Information Security Policy Compliance Intention : Theory of Planned Behavior, Goal Setting Theory, and Deterrence Theory Applied (조직구성원의 정보보안 정책 준수의도: 계획된 행동이론, 목표설정이론, 억제이론의 적용)

  • Hwang, In-Ho;Lee, Hye-Young
    • Journal of Digital Convergence
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    • v.14 no.7
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    • pp.155-166
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    • 2016
  • In accordance with the increase of the importance of information security, organizations are making continuous investments to develop policies and adapt technology for information security. Organization should provide systemized support to enhance employees' security compliance intention in order to increase the degree of organization's internal security. This research suggests security policy goal setting and sanction enforcement as a method to improve employees' security compliance in planning and enforcing organization's security policy, and verifies the influencing relationship of Theory of Planned Behavior which explains employee's security compliance intention. We use structural equation modeling to verify the research hypotheses, and conducted a survey on the employees of organization with information security policy. We verified the hypotheses based on 346 responses. The result shows that the degree of goal setting and sanction enforcement has positive influence on self-efficacy and coping efficacy which are antecedents that influence employees' compliance intention. As a result, this research suggested directions for strategic approach for enhancing employee's compliance intention on organization's security policy.