• 대한수학회논문집
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• 제10권3호
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• pp.681-688
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• 1995

Fixed-point theory has an extension to coincidences. For a pair of maps $f,g:X_1 \to X_2$, a coincidence of f and g is a point $x \in X_1$ such that $f(x) = g(x)$, and $Coin(f,g) = {x \in X_1 $\mid$ f(x) = g(x)}$ is the coincidence set of f and g. The Nielsen coincidence number N(f,g) and the Lefschetz coincidence number L(f,g) are used to estimate the cardinality of Coin(f,g). The aspherical manifolds whose fundamental group has a normal solvable subgroup of finite index is called infrasolvmanifolds. We show that if $M_1,M_2$ are compact connected orientable infrasolvmanifolds, then $N(f,g) \geq $\mid$L(f,g)$\mid$$ for every $f,g : M_1 \to M_2$.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제27권3호
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• pp.109-124
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• 2020

We establish coincidence point theorem for S-non-decreasing mappings under Geraghty-type contraction on partially ordered metric spaces. With the help of obtain result, we derive two dimensional results for generalized compatible pair of mappings F, G : X² → X. As an application, we obtain the solution of integral equation and also give an example to show the usefulness of our results. Our results improve, sharpen, enrich and generalize various known results.

• 대한수학회논문집
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• 제17권4호
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• pp.693-708
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• 2002

We generalize algebraic results of Nielsen fixed point theory to Nielsen coincidence theory. We use the algebraic methods of D. Ferrario in Nielsen fixed point theory.

• 대한공간정보학회지
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• 제14권2호
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• pp.23-32
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• 2006

본 연구에서는 기존 수치정사사진을 이용한 지적불부합지 조사에 있어 육안판독 수준의 문제를 개선하고자 기존 조사 방법보다 신속하고 객관적으로 불부합지를 조사할 수 있는 새로운 방법론을 제시하고자 하였다. 이를 위해 적용 가능한 방법론을 탐색하고 적용 방법을 정립하였다. 이렇게 정립된 방법론을 이용하여 프로토타입 시스템을 구현하였다. 그리고 실제 실험지역 적용을 통하여 방법론의 적용 가능성을 제시하고자 하였다. 연구 성과로는 기존 조사 방법보다 객관적이고 효율적으로 조사할 수 있는 point-correspondence 기반의 불부합지 조사 방법을 제시하였다. 정확도 측면의 타당성을 제시하고자 동일한 지역을 대상으로 기존 조사 기법과 비교한 결과 정확도 면에서 많은 차이를 보이지 않아 방법론의 적용 가능성을 제시할 수 있었다.

• Nuclear Engineering and Technology
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• 제55권12호
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• pp.4472-4476
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• 2023

In this study, it has been shown that the true coincidence summing correction factor can be obtained for the first time using the PHITS Monte Carlo program. Determining this correction factor using different methods and tools in each laboratory to increase the possibility of achieving high-efficiency measurement conditions is still popular in gamma-ray spectrometry. By using ¹³³Ba, ¹⁵²Eu, ¹³⁴Cs, and ⁶⁰Co point sources, the true coincidence summing factor was investigated in both near and far counting geometries for 15 different energy values. GESPECOR software was used to validate the results obtained with PHITS. A remarkable agreement was obtained between PHITS and GESPECOR, with a discrepancy of less than 3%. With this study, a new tool has been proposed to obtain the true coincidence summing factor, which is one of the significant correction factors investigated/calculated in gamma-ray spectrometric studies.

• Korean Journal of Mathematics
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• 제15권1호
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• pp.39-49
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• 2007

A few existence results of nonunique coincidence points for some kinds of $\acute{C}$iri$\acute{c}$ type mappings in metric and pseudocompact Tichonov spaces, respectively, are proved. The results presented in this paper extend some known results in the literature.

• 대한수학회논문집
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• 제32권2호
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• pp.375-387
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• 2017

In this paper, we prove some coincidence point theorems involving ${\varphi}-contraction$ in ordered partial metric spaces. We also extend newly introduced notion of g-comparability of a pair of maps for linear contraction in ordered metric spaces to non-linear contraction in ordered partial metric spaces. Thus, our results extend, modify and generalize some recent well known coincidence point theorems of ordered metric spaces.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제27권1호
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• pp.61-70
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• 2020

In this paper, we introduce a new concept of stability of coincidence iterative algorithm for three mappings and derive a new three-step Jungck-type iterative algorithm. And, we prove a stability result and a strong convergence result for the Jungck-type algorithm using the M_J-contractive condition. Our results extend and unify the corresponding ones in [3, 6, 7, 13].

• East Asian mathematical journal
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• 제18권1호
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• pp.147-154
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• 2002

In this paper, we prove a few coincidence point theorems for two pairs of mappings in $T_1$ topological spaces. Our results extend, improve and unify the corresponding results in [1]-[3].

• Nonlinear Functional Analysis and Applications
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• 제26권5호
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• pp.1059-1075
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• 2021

In this paper, we unify and enrich the well-known classical metrical coincidence theorems on a complete metric space due to Machuca, Goebel and Jungck. We further extend our newly proved results on a subspace Y of metric space X, wherein X need not be complete. Finally, we slightly modify the existing results involving (E.A)-property and (CLR_g)-property and apply these results to deduce our coincidence and common fixed point theorems.