• Journal of the Chungcheong Mathematical Society
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• v.12 no.1
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• pp.113-118
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• 1999

In this paper, we study the convergence theorem for the AP-integral based on the condition UAP and pointwise boundedness.

• Journal of applied mathematics & informatics
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• v.19 no.1_2
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• pp.135-146
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• 2005

In this paper, we suggest and analyze a class of iterative methods for solving hemiequilibrium problems using the auxiliary principle technique. We prove that the convergence of these new methods either requires partially relaxed strongly monotonicity or pseudomonotonicity, which is a weaker condition than monotonicity. Results obtained in this paper include several new and known results as special cases.

• Bulletin of the Korean Mathematical Society
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• v.37 no.2
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• pp.255-263
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• 2000

Let ${X_{nk}}, u_n\; \leq \;k \leq \;u_n,\; n\; \geq\; 1}$ be an array of rowwise independent, but not necessarily identically distributed, random variables with $EX_{nk}$=0 for all k and n. In this paper, we povide a domination condition under which ${\sum^{u_n}}_=u_n\; S_{nk}/n^{1/p},\; 1\; \leq\; p\;<2$ converges completely to zero.

• Journal of the Korean Mathematical Society
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• v.45 no.1
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• pp.289-300
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• 2008

For an array of dependent random variables satisfying a new notion of uniform integrability, weak laws of large numbers are obtained. Our results extend and sharpen the known results in the literature.

• East Asian mathematical journal
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• v.24 no.3
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• pp.289-293
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• 2008

We recently showed in [5] a semilocal convergence theorem that guarantees convergence of Newton's method to a locally unique solution of a nonlinear equation under hypotheses weaker than those of the Newton-Kantorovich theorem [7]. Here, we first weaken Miranda's theorem [1], [9], [10], which is a generalization of the intermediate value theorem. Then, we show that operators satisfying the weakened Newton-Kantorovich conditions satisfy those of the weakened Miranda’s theorem.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.1 no.2
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• pp.199-207
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• 1997

The Maximum Likelihood Sequence Estimation scheme is modified to improve the error performance of the correlative coding in the Tamed FM. To remove intersymbol interference, the Decision Feedback Equalization scheme with the delayed LMS algorithm and the Viterbi algorithm(10-symbol delay) in the delayed adaptive equalization are proposed for the performance of decision-directed adaptive equalization under the High Frequency channels, and the condition of convergence is analyzed.

• Communications of the Korean Mathematical Society
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• v.21 no.2
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• pp.237-251
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• 2006

In this paper, we introduce and study a new iterative algorithm for approximating zeroes of accretive operators in Banach spaces.

• Kyungpook Mathematical Journal
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• v.61 no.2
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• pp.279-308
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• 2021

The purpose of this paper is to introduce a class of contractive pairs of mappings satisfying a Zamfirescu-type inequality, but controlled with altering distance functions and with parameters satisfying the so-called Geraghty condition in the framework of b-metric spaces. For this class of mappings we prove the existence of points of coincidence, the convergence and stability of the Jungck, Jungck-Mann and Jungck-Ishikawa iterative processes and the existence and uniqueness of its common fixed points.

• Nonlinear Functional Analysis and Applications
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• v.26 no.3
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• pp.601-610
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• 2021

A convergence theorem for a generalized 𝜑-weakly contractive mapping is proved which satisfy a generalized contraction condition on a complete metrically convex metric space. The result in this paper generalizes the relevant results due to Rhoades [18], Alber and Guerre-Delabriere [1], Khan and Imdad [14], Xue [20] and others. An illustrative example is also furnished in support of our main result.

• Journal of the Korea Convergence Society
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• v.8 no.12
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• pp.159-165
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• 2017

This study was accomplished to get to know the actual condition of denture management in understanding of denture management education relate to the post denture management of elderly, by meeting directly, among elderly people (more than 65 years old) wearing dentures, using structured guestionnaire from 15th Oct. to 15th Dec. 2016 in Daegu Metropolitan City. As a result, there was a significant difference in understanding of denture management education according to age, education level, cost of denture, general health condition, position of denture, period of wearing upper and bottom denture, frequencies of dental treatment and degree of halitosis(p<0.05). As a result, it is considered that continuing denture management education by studying characteristics of the elderly is needed and standardized denture management manual has to be made.