• 제목/요약/키워드: p-norm

검색결과 268건 처리시간 0.027초

Common Fixed Point Theorems in Probabllistic Metric Spaces and Extension to Uniform Spaces

  • Singh, S.L.;Pant, B.D.
    • 호남수학학술지
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    • 제6권1호
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    • pp.1-12
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    • 1984
  • Let(X, $\Im$) be a probabilistic metric space with a t-norm. Common fixed point theorems and convergence theorems generalizing the results of Ćirić, Fisher, Sehgal, Istrătescu-Săcuiu and others are proved for three mappings P,S,T on X satisfying $F_{Pu, Pv}(qx){\geq}min\left{F_{Su,Tv}(x),F_{Pu,Su}(x),F_{Pv,Tv}(x),F_{Pu,Tv}(2x),F_{Pv,Su}(2x)\right}$ for every $u, v {\in}X$, all x>0 and some $q{\in}(0, 1)$. One of the main results is extended to uniform spaces. Mathematics Subject Classification (1980): 54H25.

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불확실한 선형시스템 고유값 배치의 비대칭 강인한계 (Asymmetric Robustness Bounds of Eigenvalue Distribution for Uncertain Linear Systems)

  • 이재천
    • 제어로봇시스템학회논문지
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    • 제5권7호
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    • pp.794-799
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    • 1999
  • This study deals with robustness bounds estimation for uncertain linear systems with structured perturbations where the eigenvalues of the perturbed systems are guaranteed to stay in a prescribed region. Based upon the Lyapunov approach, new theorems to estimate allowable perturbation parameter bounds are derived. The theorems are referred to as the zero-order or first-order asymmetric robustness measure depending on the order of the P matrix in the sense of Taylor series expansion of perturbed Lyapunov equation. It is proven that Gao's theorem for the estimation of stability robustness bounds is a special case of proposed zero-order asymmetric robustness measure for eigenvalue assignment. Robustness bounds of perturbed parameters measured by the proposed techniques are asymmetric around the origin and less conservative than those of conventional methods. Numerical examples are given to illustrate proposed methods.

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지식 정보를 이용한 웹 문서 순위 결정 방법 (A Web Document Ranking Method Using Knowledge Information)

  • 이용현;변영태;구연건
    • 한국정보과학회:학술대회논문집
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    • 한국정보과학회 1998년도 가을 학술발표논문집 Vol.25 No.2 (2)
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    • pp.135-137
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    • 1998
  • 다양하고 방대한 양의 정보가 산재해 있는 웹의 정보 소스들 중 특정 도메인에 해당하는 문서를 판단하는 방법과 효과적인 검색을 지원하기 위한 웹 문서 순위 결정 방법을 제안한다. 웹에 산재되어 있는 정보들은 특정 도메인에 적합한 문서들만을 저장하기 위해 특정 지식 베이스를 기반으로 하는 지식 정보를 이용하여 문서의 평가 작업을 한다. 또한 효과적인 검색을 지원하기 위한 웹 문서 순위 결정 방법으로 두 단계의 처리를 거친다. 첫째, 사용자로부터 주어진 질의에 대해 그 질의를 이루고 있는 각 단어들에 대한 상대적인 중요도를 반영한 P-norm 모델을 적용하여 문서의 순위를 결정한다. 두 번째 단계로 관련 문서들간의 유용한 링크 정보를 이용한 재조정 작업에 의해 문서의 순위를 결정하는 방법을 제시한다. 본 논문에서 제시한 방법에 의해 적절한 문서의 판단과 더 나은 정보의 제공을 수행할 수 있는 효과적인 정보 검색 기능을 가진다. 정보 탐색자에게 정확하고 효과적인 정보를 제공할 수 있게 되었고, 일반적인 웹 검색 방법과의 비교에 의해 검색 효율이 향상됨을 보인다.

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Design of a Robust Target Tracker for Parameter Variations and Unknown Inputs

  • Kim, Eung-Tai;Andrisani, D. II
    • International Journal of Aeronautical and Space Sciences
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    • 제2권2호
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    • pp.73-81
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    • 2001
  • This paper describes the procedure to develop a robust estimator design method for a target tracker that accounts for both structured real parameter uncertainties and unknown inputs. Two robust design approaches are combined: the Mini-p-Norm. design method to consider real parameter uncertainties and the $H_{\infty}$ design technique for unknown disturbances and unknown inputs. Constant estimator gains are computed that guarantee the robust performance of the estimator in the presence of parameter variations in the target model and unknown inputs to the target. The new estimator has two design parameters. One design parameter allows the trade off between small estimator error variance and low sensitivity to unknown parameter variations. Another design parameter allows the trade off between the robustness to real parameter variations and the robustness to unknown inputs. This robust estimator design method was applied to the longitudinal motion tracking problem of a T-38 aircraft.

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시변 불확정성을 갖는 선형 시스템의 강인 극점 배치 (Robust Pole Assignment of Linear Systems with Time-Varying Uncertainty)

  • 김진훈
    • 대한전기학회논문지:전력기술부문A
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    • 제48권1호
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    • pp.31-35
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    • 1999
  • In this paper, we consider the robust pole assignment and the upper bound of quadratic cost function for the linear systems with time-varying uncertainy. The considered uncertainties are both the norm bounded unstructured case and the structured case that has the matrix polytope type uncertain structure. We derve conditions that guarantee the robust pole assignment inside a disk in the L.H.P. and the robust stability. Also, we derive the upper bound of quadratic cost for thil pole assigned systems. Finally, we show the usefulness of our results by an example.

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POSITIVE SOLUTIONS OF SELF-ADJOINT BOUNDARY VALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS AT RESONANCE

  • Yang, Aijun;Ge, Weigao
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제15권4호
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    • pp.407-414
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    • 2008
  • In this paper, we study the self-adjoint second order boundary value problem with integral boundary conditions: (p(t)x'(t))'+f(t,x(t))=0, t $${\in}$$ (0,1), x'(0)=0, x(1) = $${\int}_0^1$$ x(s)g(s)ds. A new result on the existence of positive solutions is obtained. The interesting points are: the first, we employ a new tool-the recent Leggett-Williams norm-type theorem for coincidences; the second, the boundary value problem is involved in integral condition; the third, the solutions obtained are positive.

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CR-WARPED PRODUCT SUBMANIFOLDS OF NEARLY KAEHLER MANIFOLDS

  • Al-Luhaibi, Nadia S.;Al-Solamy, Falleh R.;Khan, Viqar Azam
    • 대한수학회지
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    • 제46권5호
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    • pp.979-995
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    • 2009
  • As warped product manifolds provide an excellent setting to model space time near black holes or bodies with large gravitational field, the study of these manifolds assumes significance in general. B. Y. Chen [4] initiated the study of CR-warped product submanifolds in a Kaehler manifold. He obtained a characterization for a CR-submanifold to be locally a CR-warped product and an estimate for the squared norm of the second fundamental form of CR-warped products in a complex space form (cf [6]). In the present paper, we have obtained a necessary and sufficient conditions in terms of the canonical structures P and F on a CR-submanifold of a nearly Kaehler manifold under which the submanifold reduces to a locally CR-warped product submanifold. Moreover, an estimate for the second fundamental form of the submanifold in a generalized complex space is obtained and thus extend the results of Chen to a more general setting.

SOLVING QUASIMONOTONE SPLIT VARIATIONAL INEQUALITY PROBLEM AND FIXED POINT PROBLEM IN HILBERT SPACES

  • D. O. Peter;A. A. Mebawondu;G. C. Ugwunnadi;P. Pillay;O. K. Narain
    • Nonlinear Functional Analysis and Applications
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    • 제28권1호
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    • pp.205-235
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    • 2023
  • In this paper, we introduce and study an iterative technique for solving quasimonotone split variational inequality problems and fixed point problem in the framework of real Hilbert spaces. Our proposed iterative technique is self adaptive, and easy to implement. We establish that the proposed iterative technique converges strongly to a minimum-norm solution of the problem and give some numerical illustrations in comparison with other methods in the literature to support our strong convergence result.

대사증후군 고위험 근로자의 건강증진 행위에 미치는 영향 요인: 계획적 행위 이론 적용 (Factors Affecting Health Promotion Behavior among Workers with High Risk of Metabolic Syndrome: Based on Theory of Planned Behavior)

  • 박성원;양숙자
    • 지역사회간호학회지
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    • 제26권2호
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    • pp.128-139
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    • 2015
  • Purpose: The purpose of this study was to identify factors affecting health promotion behavior among workers with high risk of metabolic syndrome. This study was based on the planned behavior theory. Methods: The participants were 167 workers at high risk of metabolic syndrome. Data were collected using a structured questionnaire. Surveyed variables were attitude, subjective norm, perceived behavioral control, intention, and health promotion behavior. Data were analyzed using descriptive statistics, t-test, ANOVA, Pearson's correlation coefficients, and hierarchical regression analysis with SPSS/WIN 22.0. Results: Perceived behavioral control affected the intention of health promotion behavior among the workers with high risk of metabolic syndrome. It explained 62% of variance in the intention of health promotion behavior (F=40.09, p<.001). Perceived behavioral control and occupation affected health promotion behavior among the risk workers with high risk of metabolic syndrome. The two factors explained 16% of variance in health promotion behavior (F=4.95, p<.001). Conclusion: The findings of this study suggest that perceived behavioral control is the only factor affecting health promotion behavior when the theory of planned behavior was applied. Therefore, intervention programs for improving health promotion behavior should be focused on strengthening perceived behavioral control.

STRONG CONVERGENCE OF PATHS FOR NONEXPANSIVE SEMIGROUPS IN BANACH SPACES

  • Kang, Shin Min;Cho, Sun Young;Kwun, Young Chel
    • Korean Journal of Mathematics
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    • 제19권3호
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    • pp.279-289
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    • 2011
  • Let E be a uniformly convex Banach space with a uniformly Gateaux differentiable norm, C be a nonempty closed convex subset of E and f : $C{\rightarrow}C$ be a fixed bounded continuous strong pseudocontraction with the coefficient ${\alpha}{\in}(0,1)$. Let $\{{\lambda}_t\}_{0<t<1}$ be a net of positive real numbers such that ${\lim}_{t{\rightarrow}0}{\lambda}_t={\infty}$ and S = {$T(s)$ : $0{\leq}s$ < ${\infty}$} be a nonexpansive semigroup on C such that $F(S){\neq}{\emptyset}$, where F(S) denotes the set of fixed points of the semigroup. Then sequence {$x_t$} defined by $x_t=tf(x_t)+(1-t)\frac{1}{{\lambda}_t}{\int_{0}}^{{\lambda}_t}T(s)x{_t}ds$ converges strongly as $t{\rightarrow}0$ to $\bar{x}{\in}F(S)$, which solves the following variational inequality ${\langle}(f-I)\bar{x},\;p-\bar{x}{\rangle}{\leq}0$ for all $p{\in}F(S)$.