• Nonlinear Functional Analysis and Applications
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• v.28 no.4
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• pp.877-886
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• 2023

The first result of this paper is to give a revised proof of Sanatammappa et al.'s recent result in a b-metric space, under appropriate choice of constants without using the continuity of the b-metric. The second is to prove a fixed point theorem under a contraction type condition in an extended b-metric space.

• Nonlinear Functional Analysis and Applications
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• v.29 no.2
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• pp.517-526
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• 2024

In this paper, some iterative methods are used to discuss the behavior of general mixed-harmonic variational inequalities. We employ the auxiliary principle technique and g-strongly harmonic monotonicity of the operator to obtain results on the existence of solutions to a generalized class of mixed harmonic variational inequality.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2007.04a
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• pp.209-212
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• 2007

Non-additive measures and their corresponding Choquet integrals are very useful tools which are used in both insurance and financial markets. In both markets, it is important to to update prices to account for additional information. The update price is represented by the Choquet integral with respect to the conditioned non-additive measure. In this paper, we consider a price functional H on interval-valued risks defined by interval-valued Choquet integral with respect to a non-additive measure. In particular, we prove that if an interval-valued pricing functional H satisfies the properties of monotonicity, comonotonic additivity, and continuity, then there exists an two non-additive measures ${\mu}_1,\;{\mu}_2$ such that it is represented by interval-valued choquet integral on interval-valued risks.

• Korean Journal of Mathematics
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• v.25 no.1
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• pp.99-116
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• 2017

The aim of this article is to introduce a new form of Kantorovich $Sz{\acute{a}}sz$-type operators involving Charlier polynomials. In this manuscript, we discuss the rate of convergence, better error estimates. Further, we investigate order of approximation in the sense of local approximation results with the help of Ditzian-Totik modulus of smoothness, second order modulus of continuity, Peetre's K-functional and Lipschitz class.

• Journal of the Korean Institute of Intelligent Systems
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• v.17 no.4
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• pp.451-454
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• 2007

Non-additive measures and their corresponding Choquet integrals are very useful tools which are used in both insurance and financial markets. In both markets, it is important to update prices to account for additional information. The update price is represented by the Choquet integral with respect to the conditioned non-additive measure. In this paper, we consider a price functional H on interval-valued risks defined by interval-valued Choquet integral with respect to a non-additive measure. In particular, we prove that if an interval-valued pricing functional H satisfies the properties of monotonicity, comonotonic additivity, and continuity, then there exists an two non-additive measures ${\mu}1,\;{\mu}2$ such that it is represented by interval-valued choquet integral on interval-valued risks.

• Nonlinear Functional Analysis and Applications
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• v.26 no.4
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• pp.749-780
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• 2021

In this paper, we give the notion of M(., .)-𝜂-proximal mapping for a nonconvex, proper, lower semicontinuous and subdifferentiable functional on Banach space and prove its existence and Lipschitz continuity. As an application, we introduce and investigate a new system of variational-like inclusions in Banach spaces. By means of M(., .)-𝜂-proximal mapping method, we give the existence of solution for the system of variational inclusions. Further, propose an iterative algorithm for finding the approximate solution of this class of variational inclusions. Furthermore, we discuss the convergence and stability analysis of the iterative algorithm. The results presented in this paper may be further expolited to solve some more important classes of problems in this direction.

• Journal of the Korea Safety Management & Science
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• v.26 no.1
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• pp.55-61
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• 2024

In this paper, in order to study the relationship between the safety culture of highway management agencies and disaster reduction activities (BCMS), a measurement tool was identified through previous research on safety culture, and the validity of the measurement tool was confirmed through exploratory factor analysis. I want to check. The subjects of the study were workers belonging to disaster reduction activity management system certification organizations among highway management organizations. The highway management agencies are the Korea Expressway Corporation, which manages the functional continuity of national highways nationwide, and 8 of the 21 private road agencies that manage the functional continuity of the highways. The safety culture measurement tool is an indicator that measures safety culture factors, and is reorganized by the researcher based on survey items from previous studies, with management/manager safety values and attitudes, safety communication, safety education and training, and safety regulations/management system as subfactors. A total of 24 questions were comprised of the survey tool. As a result of the study, the result of exploratory factor analysis was that the safety culture scale was extracted into four factors based on theoretical grounds, and the total cumulative variance was 80.360%. When checking the questions for each factor, it was found that all the questions loaded on the factor that was originally intended to be measured. Factor 1 is management, factor 2 is safety, and factor 3 is communication., Factor 4 was named education. Number of questions: 4 management questions, 3 safety questions, communication It consisted of 4 questions and 2 education questions.

• Transactions of the Korean Society of Mechanical Engineers A
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• v.21 no.11
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• pp.1844-1851
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• 1997

Displacement fields and interface stresses are obtained by modifying the potential energy functional with a penalty function which enforces the continuity of stresses at the interface of two-materials. Based on the displacement field and the interface stresses, a new methodology to generate a continuous stress field over the entire domain including the interface of the dissimilar materials has been proposed by combining the L$^{2}$ projection method of stress-smoothing and the Loubignac's iterative method of improving the displacement field. Stress analysis was carried out on two examples which are made of highly dissimilar materials. As a result of the analysis, it is found that the proposed method provides improved continuity of the stress field over the entire domain as well as predicting accurate nodal stresses at the interface. In contrast, the conventional displacement-based finite element method provides significant stress discontinuties at the interfaces. In addition, it was found that the total strain energy evaluated from the improved continuous stress field converge to the exact value as increasing the number of iterations in the proposed method.

• Composites Research
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• v.17 no.4
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• pp.25-31
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• 2004

In this study, a refined beam analysis model has been developed for multi-celled composite blades with elliptic cross-sections. Reissner's semi-complimentary energy functional is introduced to describe the beam theory and also to deal with the mixed-nature of the formulation. The wail of elliptic sections is discretized into finite number of elements along the contour line and Gauss integration is applied to obtain the section properties. For each cell of the section, a total of four continuity conditions are used to impose proper constraints for the section. The theory is applied to single- and double-celled composite blades with elliptic cross-sections and is validated with detailed finite element analysis results.

• Journal of the Architectural Institute of Korea Planning & Design
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• v.35 no.4
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• pp.115-126
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• 2019

Construction of the Pyongyang Railroad Station began in 1907 as an important foothold for the Japanese colonization of the Korean Peninsula and the further invasion of Manchuria. As Pyongyang gradually grew in size and political significance, the Pyongyang Station came to have two responsibilities: Fulfill its functional role and serve as a monument to the growing dignity of the city. This study argues that the Pyongyang Station, newly rebuilt in 1958, was the first building to solve the demands for both functional expansion and the pursuit of monumentality. Stylistically, the original single-story wooden building became a three-story classical masonry building. The stylistic change symbolizes the political shift by which the building was reconstructed. The simple wooden building built by the Japanese, representing Pyongyang's status as a colonial provincial town, was transformed into an imposing gateway for the capital city of a newly born socialist state. Socialist Realism, correctly described by its slogan "socialist in content and national in form," harmoniously blended classical architecture, socialist symbols, and Korean local motifs. This study is significant in that it illustrates the historical changes and continuity of the Pyongyang Station from 1907, when it was first built, through the "liberated space" to the postwar reconstruction period of the 1950s.