• Journal of Institute of Control, Robotics and Systems
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• v.5 no.2
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• pp.189-199
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• 1999

This paper presents an optimization algorithm for a stable Self Dynamic Neural Network(SDNN) using genetic algorithm. Optimized SDNN is applied to a problem of controlling nonlinear dynamical systems. SDNN is dynamic mapping and is better suited for dynamical systems than static forward neural network. The real-time implementation is very important, and thus the neuro controller also needs to be designed such that it converges with a relatively small number of training cycles. SDW has considerably fewer weights than DNN. Since there is no interlink among the hidden layer. The object of proposed algorithm is that the number of self dynamic neuron node and the gradient of activation functions are simultaneously optimized by genetic algorithms. To guarantee convergence, an analytic method based on the Lyapunov function is used to find a stable learning for the SDNN. The ability and effectiveness of identifying and controlling a nonlinear dynamic system using the proposed optimized SDNN considering stability is demonstrated by case studies.

• East Asian mathematical journal
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• v.26 no.3
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• pp.429-440
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• 2010

In this paper, we study a new one-step iterative scheme with error for approximating common fixed points of non-self asymptotically nonexpansive in the intermediate sense mappings in uniformly convex Banach spaces. Also we have proved weak and strong convergence theorems for above said scheme. The results obtained in this paper extend and improve the recent ones, announced by Zhou et al. [27] and many others.

• Nonlinear Functional Analysis and Applications
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• v.27 no.2
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• pp.271-287
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• 2022

In this article, we shall prove a common fixed point theorem for two weakly compatible self-maps 𝒫 and 𝔔 on a dislocated metric space (M, d^*) satisfying the following ξ-weakly expansive condition: d^*(𝒫c, 𝒫d) ≥ d^* (𝔔c, 𝔔d) + ξ(∧(𝔔c, 𝔔d)), ∀ c, d ∈ M, where $${\wedge}(Qc,\;Qd)=max\{d^*(Qc,\;Qd),\;d^*(Qc,\;\mathcal{P}c),\;d^*(Qd,\;\mathcal{P}d),\;\frac{d^*(Qc,\;\mathcal{P}c){\cdot}d^*(Qd,\;\mathcal{P}d)}{1+d^*(Qc,\;Qd)},\;\frac{d^*(Qc,\;\mathcal{P}c){\cdot}d^*(Qd,\;\mathcal{P}d)}{1+d^*(\mathcal{P}c,\;\mathcal{P}d)}\}$$. Also, we have proved common fixed point theorems for the above mentioned weakly compatible self-maps along with E.A. property and (CLR) property. An illustrative example is also provided to support our results.

• Journal of Korean Academy of Nursing
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• v.49 no.4
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• pp.472-485
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• 2019

Purpose: This study aimed to develop and evaluate the effectiveness of an adapted health literacy self-management intervention for elderly cancer patients undergoing chemotherapy. Methods: The intervention in this study was systematically developed through the six stages of Intervention Mapping Protocol and was based on Fransen et al's causal pathway model. A quasi-experimental trial was conducted on a total of 52 elderly patients (26 in an experimental group and 26 in a control group) undergoing chemotherapy in Korea. The intervention consisted of seven sessions over 5 weeks. The experimental tool for this study was an adapted health literacy self-management intervention, which was designed to promote a reduction in the symptom experience and distress of elderly cancer patients through the promotion of self-management behavior. To develop efficient educational materials, the participants' health literacy was measured. To educate participants, clear communication and the teach-back method were used. In addition, for the improvement of self-efficacy, four sources were utilized. For the promotion of self-management behavior, five self-management skills were strengthened. Data were collected before and after the intervention from June 4 to September 14, 2018. The data were analyzed with SPSS/WIN 21.0. Results: Following the intervention, self-management knowledge and behavior and, self-efficacy significantly improved in experimental group. Symptom experience and distress decreased in the experimental group compared to the control group. Conclusion: The self-management intervention presented in this study was found to be effective in increasing self-management knowledge and behavior and, self-efficacy, and ultimately in reducing symptom experience and distress for elderly patients undergoing chemotherapy.

• Honam Mathematical Journal
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• v.23 no.1
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• pp.51-57
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• 2001

Let $\mathcal{B}(H)$ and $\mathcal{B}(K)$ denote the algebras of all bounded linear operators on Hilbert spaces $\mathcal{H}$ and $\mathcal{K}$, respectively. We show that if ${\phi}:\mathcal{B}(H){\rightarrow}\mathcal{B}(K)$ is an additive mapping satisfying ${\phi}({\mid}A{\mid}^2)={\mid}{\phi}(A){\mid}^2$ for every $A{\in}\mathcal{B}(H)$, then there exists a mapping ${\psi}$ defined by ${\psi}(A)={\phi}(I){\phi}(A)$, ${\forall}A{\in}\mathcal{B}(H)$ such that ${\psi}$ is the sum of $two^*$-homomorphisms one of which C-linear and the othere C-antilinear. We will also study some conditions implying the injective and rank-preserving of ${\psi}$.

• Journal of the Korean Institute of Telematics and Electronics B
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• v.32B no.5
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• pp.812-820
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• 1995

This paper proposes an approach of identifying nonlinear mappings from input/output data. The approach is based on the universal approximation by the fuzzy integration of local affine mappings. A connectionist model realizing the universal approximator is suggested by using a processing unit based on both the radial basis function and the weighted sum scheme. In addition, a learning method with self-organizing capability is proposed for the identifying of nonlinear mapping relationships with the given input/output data. To show the effectiveness of our approach, the proposed model is applied to the function approximation and the prediction of Mackey-Glass chaotic time series, and the performances are compared with other approaches.

• Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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• 2000.11a
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• pp.258-261
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• 2000

Geophysical surveys (electrical resistivity, self-potential, and magnetic methods) and streamwater sample analysis have been carried out at a site of tailings of waste deposits in an abandoned mine, Jangpoong, which is situated in Kowesan-Gun, Chungbuk-Do. The research was aimed at investigating the suitability of the various geophysical methods for detection of AMD (acid mine drainage) paths, and ultimately mapping of preferred AMD flow channels by incorporating the water sample analysis. Electrical resistivity section from the dipole-dipole line represents the low-resistivity zone trending northwest toward the stream nearby. The positions of the resistivity anomalies for AMD channels are well correlated to the ones from the various geophysical surveys. In addition they correspond to the sites of the higher peaks for the pH, EC, heavy metal content for the water sample data.

• Nonlinear Functional Analysis and Applications
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• v.26 no.5
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• pp.903-915
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• 2021

In this paper, we introduce the concepts of an orthogonal generalized F-contraction mapping and prove some fixed point theorems for a self mapping in an orthogonal metric space. The given results are generalization and extension some of the well-known results in the literature. An example to support our result is presented.

• Korean Journal of Health Education and Promotion
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• v.28 no.5
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• pp.145-160
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• 2011

Objectives: This study attempted to apply the Intervention mapping and Transtheoretical models to develop a program to promote moderate alcohol drinking in university students. Methods: Surveyed data from 1,137 university students were analyzed to identify personal and environmental determinants for alcohol drinking. Based on these determinants, program objectives were established. Crossing the objectives with related important determinants resulted in matrices of learning objectives for which educational strategies were developed. Subsequently, an intervention program were designed to achieve those objectives. Results: Identified personal determinants included awareness, attitudes, self-efficacy and behavioral skills. Environmental determinants were binge drinking behaviors of family members and peers, and social pressure for drinking. Program, impact and learning objectives were developed to change the identified determinants. Program activities included provision of information on positive and negative consequences of binge drinking, opportunities for assessing one's drinking pattern, increasing outcome expectancies of and skill building for monitoring drinking, resisting peer pressure and managing stress. To facilitate adoption and maintenance of the program, an intervention diffusion plan was suggested. An evaluation plan was developed by utilizing RE-AIM framework. Conclusions: In order to expand evidence bases for effective theory-based programs, the developed program should be tested in diverse university settings.

• Bulletin of the Korean Mathematical Society
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• v.30 no.2
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• pp.187-191
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• 1993

In this note we prove the following result: Let A be a complex Banach *-algebra with continuous involution and let B be an $A^{*}$-algebra./T(A) = B. Then T is continuous (Theorem 2). From above theorem some others results of special interest and some well-known results follow. (Corollaries 3,4,5,6 and 7). We close this note with some generalizations and some remarks (Theorems 8.9.10 and question). Throughout this note we consider only complex algebras. Let A and B be complex algebras. A linear mapping T from A into B is called jordan homomorphism if T( $x^{1}$) = (Tx)$^{2}$ for all x in A. A linear mapping T : A .rarw. B is called spectrally-contractive mapping if .rho.(Tx).leq..rho.(x) for all x in A, where .rho.(x) denotes spectral radius of element x. Any homomorphism algebra is a spectrally-contractive mapping. If A and B are *-algebras, then a homomorphism T : A.rarw.B is called *-homomorphism if (Th)$^{*}$=Th for all self-adjoint element h in A. Recall that a Banach *-algebras is a complex Banach algebra with an involution *. An $A^{*}$-algebra A is a Banach *-algebra having anauxiliary norm vertical bar . vertical bar which satisfies $B^{*}$-condition vertical bar $x^{*}$x vertical bar = vertical bar x vertical ba $r^{2}$(x in A). A Banach *-algebra whose norm is an algebra $B^{*}$-norm is called $B^{*}$-algebra. The *-semi-simple Banach *-algebras and the semi-simple hermitian Banach *-algebras are $A^{*}$-algebras. Also, $A^{*}$-algebras include $B^{*}$-algebras ( $C^{*}$-algebras). Recall that a semi-prime algebra is an algebra without nilpotents two-sided ideals non-zero. The class of semi-prime algebras includes the class of semi-prime algebras and the class of prime algebras. For all concepts and basic facts about Banach algebras we refer to [2] and [8].].er to [2] and [8].].