• Bulletin of the Korean Mathematical Society
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• v.45 no.4
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• pp.635-644
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• 2008

In this paper, we prove that the equivalence between the convergence of Mann and Ishikawa iterations for the generalized Lipschitzian and $\Phi$-strongly pseudocontractive mappings in real uniformly smooth Banach spaces. Our results significantly generalize the recent known results of [B. E. Rhoades and S. M. Soltuz, The equivalence of Mann iteration and Ishikawa iteration for non-Lipschitz operators, Int. J. Math. Math. Sci. 42 (2003), 2645.2651].

• Communications of the Korean Mathematical Society
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• v.28 no.1
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• pp.191-207
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• 2013

In this paper, we introduce the shrinking projection method for hemi-relatively nonexpansive mappings to find a common solution of variational inequality problems and equilibrium problems in uniformly convex and uniformly smooth Banach spaces and prove some strong convergence theorems to the common solution by using the proposed method.

• Communications of the Korean Mathematical Society
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• v.33 no.4
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• pp.1271-1284
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• 2018

In this paper, we establish strong convergence of the modified Ishikawa iterates of an asymptotically non expansive self-mapping of a nonempty closed bounded and convex subset of a uniformly convex Banach space under a variety of new control conditions.

• Kyungpook Mathematical Journal
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• v.46 no.2
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• pp.201-209
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• 2006

Suppose C is a nonempty closed convex subset of a real uniformly convex Banach space X. Let T : $C{\rightarrow}C$ be an asymptotically nonexpansive in the intermediate sense mapping. In this paper we introduced the three-step iterative sequence for such map with error members. Moreover, we prove that, if T is completely continuous then the our iterative sequence converges strongly to a fixed point of T.

• Journal of Broadcast Engineering
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• v.22 no.2
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• pp.207-213
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• 2017

In order to accurately perform multispectral imaging using a multiplexed illumination, intensity of illumination in a scene must be uniform. For image acquisition that requires accurate color information, even if not multispectral imaging, the illumination information must be accurate, and a flat light source or illumination calibration is performed for accurate illumination characteristics. In this paper, we propose a method of color correction to uniformly illuminate an image with non-uniform illumination intensity. The proposed method uses multispectral imaging instead of illumination calibration for color correction. First of all, we perform multispectral imaging with two images obtained from non-uniformity illumination to acquire spectral reflectance. The obtained reflection spectrum is relit as the illumination characteristic of the image obtained from general planar light such as fluorescent light or sunlight. By comparing the image obtained by relighting with the uniformly illuminated image, the non-uniformity of the illumination is confirmed, and the color correction is performed as the image obtained from the uniform image. It is expected that the experimental results will confirm whether the non-uniformity of the illumination is uniformly corrected and reduce the restriction of illumination in obtaining the color information of the image.

• Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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• 2002.07b
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• pp.935-938
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• 2002

The degree of contamination in outdoor insulation system is one of the most importance factor to determine the level of insulation, and the salt is known as the most dangerous contaminants in the most region of the world. In a macroscopic point of view, as shown through the preceding study, the generation and deposition of salt contaminants has a great relation with the geographical conditions and the meteorological conditions, such as, wind velocity, wind direction, precipitation and so forth. However, in the aspect of microscopic analysis, the pollution mechanism has a great relation with aerodynamic properties of insulator, originated from the profile of insulators, and the non-uniform deposition is unevitable. So, in this investigation, we had make a experiment to seize the electrical properties of non-uniformly contaminated insulator. The results of this investigation could be used as a good groundwork in the determination of outdoor insulation design.

• Journal of Korean Society of Steel Construction
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• v.17 no.6 s.79
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• pp.717-726
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• 2005

This study investigates the bearing pressure distribution and design of an H-section steel column baseplate under concentric loading. In general, the size and thickness of the baseplate are determined with the assumption that the bearing pressure of the column baseplate is distributed uniformly. When the column is loaded lightly, however, the baseplate becomes smaller andthinner and the bearing pressure of the baseplate is distributed non-uniformly. In this study, the distribution of the bearing pressure is investigated using the experimental method and the analytical method. Seven specimens of the H-section steel column baseplate were fabricated and tested. The analysis of the specimens was performed using the finite element analysis program, ANSYS. It is not appropriate to use the Limit State Design,which assumes that the bearing pressure of the baseplate is distributed uniformly,because the bearing pressure is distributed non-uniformly and is concentrated under the column sectio.

• The KIPS Transactions:PartC
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• v.17C no.4
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• pp.379-384
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• 2010

Mobile nodes in high mobility ad hoc networks might come together in specific areas. In non-uniformly distributed networks, traffic load can be concentrated to intermediate nodes between dense clusters, and networks performance can be degraded. In this paper, we proposed a cluster based routing protocol that heavy traffic nodes adaptively react according to traffic load. The simulation result shows that the proposed protocol reduce packet loss and end-to-end delay.

• Journal of Institute of Control, Robotics and Systems
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• v.17 no.8
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• pp.753-759
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• 2011

The HIV (Human Immunodeficiency Virus) causes AIDS (Acquired Immune Deficiency Syndrome). The process of infection and mutation by HIV can be described by a 3rd order state equation. For this HIV model that includes the dynamics of the mutant virus, we present a parameter estimation scheme using two state variables sporadically measured, out of the three, by employing a genetic algorithm. It is assumed that these non-uniformly sampled measurements are subject to random noises. The effectiveness of the proposed parameter estimation is demonstrated by simulations. In addition, the estimated parameters are used to analyze the equilibrium points of the HIV model, and the results are shown to be consistent with those previously obtained.

• Kyungpook Mathematical Journal
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• v.60 no.3
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• pp.629-645
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• 2020

A uniformly convergent numerical method is developed for solving singularly perturbed 1-D parabolic convection-diffusion problems. The developed method applies a non-standard finite difference method for the spatial derivative discretization and uses the implicit Runge-Kutta method for the semi-discrete scheme. The convergence of the method is analyzed, and it is shown to be first order convergent. To validate the applicability of the proposed method two model examples are considered and solved for different perturbation parameters and mesh sizes. The numerical and experimental results agree well with the theoretical findings.