• 한국수학교육학회지시리즈B:순수및응용수학
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• 제10권4호
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• pp.245-254
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• 2003

In this paper we prove common fixed point theorems for four mappings, under the condition of weakly compatible mappings in Menger spaces, without taking any function continuous. We improve results of [A common fixed point theorem for three mappings on Menger spaces. Math. Japan. 34 (1989), no. 6, 919-923], [On common fixed point theorems of compatible mappings in Menger spaces. Demonstratio Math. 31 (1998), no. 3, 537-546].

• 대한수학회논문집
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• 제27권3호
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• pp.513-522
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• 2012

In this paper, we prove common fixed point theorems for families of occasionally weakly compatible mappings in Menger spaces using implicit relation. Our results extend and generalize the results of Altun and Turkoglu [9] in the sense that the concept of occasionally weakly compatible maps is the most general among all the commutativity concepts. Also the completeness of the whole space, continuity of the involved maps and containment of ranges amongst involved maps are completely relaxed.

• 대한수학회논문집
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• 제24권2호
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• pp.197-214
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• 2009

In this paper, we formulate the definition of compatible mappings of type (I) and (II) in intuitionistic fuzzy metric spaces and prove a common fixed point theorem by using the conditions of compatible mappings of type (I) and (II) in complete intuitionistic fuzzy metric spaces. Our results intuitionistically fuzzify the result of Cho, Sedghi, and Shobe [4].

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2000년도 추계종합학술대회 논문집(2)
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• pp.200-203
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• 2000

In this paper, we describes the design of a CPU compatible with ARM9 processor. The CPU is fully synthesizable and described in Verilog-XL. Starting from the synthesizable ARM7 compatible CPU we developed earlier, we modified its pipeline to five stages. For this we first partition the behaviors of each instruction into five stage pipeline operations. Then we designed the controller and the datapath considering the forwarding or interlock schemes. Finally the compatibility of the designed CPU is verified by comparing the results of every instruction executed in test programs with those of the reference simulator developed for the ARM7 compatible CPU.

• Journal of applied mathematics & informatics
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• 제30권5_6호
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• pp.1067-1075
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• 2012

In this paper we generalize the results of Ili$\acute{c}$ and Rako$\check{c}$evi$\acute{c}$. Also, we generalize one of Berinde's results to cone metric spaces. And we introduce the notion of compatible mappings of type (BC), and we establish a common fixed point theorem for these mappings.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제10권3호
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• pp.194-199
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• 2010

In this paper, we give definitions of compatible mappings of type(I) and (II) in intuitionistic fuzzy metric space and obtain common fixed point theorem and example under the conditions of compatible mappings of type(I) and (II) in complete intuitionistic fuzzy metric space. Our research generalize, extend and improve the results given by many authors.

• Korean Journal of Mathematics
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• 제27권3호
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• pp.629-643
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• 2019

In common fixed point problems in metric spaces several versions of weak commutativity have been considered. Mappings which are not compatible have also been discussed in common fixed point problems. Here we consider common fixed point problems of non-compatible and R-weakly commuting mappings in probabilistic semimetric spaces with the help of a control function. This work is in line with research in probabilistic fixed point theory using control functions. Further we support our results by examples.

• 한국작물학회지
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• 제52권2호
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• pp.162-168
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• 2007

본 연구는 벼흰잎마름병 저항성유전자 Xa1, Xa 3 및 Xa7을 가진 단인자 근동질 유전자계통에 일본의 대표균주(T7174, T7147, T7133)를 단독 및 혼합 접종하여 친화적 및 비친화적 균주의 상호작용에 따른 벼흰잎마름병 발병도에 미치는 영향을 조사하였다. Xa1 유전자를 갖는 IRBB 101 계통은 벼의 생육기간 전반에 걸쳐 T7147와 T7133 균주에는 친화적 관계로, T7174 균주에는 비친화적 관계로 작용하였다. Xa3 유전자를 갖는 IRBB 103 계통은 유묘기에서는 3 균주가 친화적 관계로 반응하였으나 출수기에 비교적 안정된 저항성을 나타냈다. Xa7 유전자를 갖는IRBB 107은 유묘기 접종에서는 3 균주가 비친화적 관계에 유사한 반응을 나타냈고, 최고분얼기 접종에서는 대부분 저항성으로 반응하였으며, 출수기에는 모두 강한 저항성으로 반응하여 비친화적 관계로 변화하였다. 친화적 균주와 비친화적 균주의 혼합접종에서는 비친화적 균주의 혼합비율이 증가할수록 병반장이 감소하는 경향 이였고, 친화적 및 비친화적 관계가 확실치 않는 경우는 병반장의 변화가 거의 없었다. 친화적 균주의 혼합접종에서는 친화적 균주의 단독 접종보다 대체로 병반장이 증가하는 경향이었으나, 비친화적 균주의 혼합접종에서는 단독 접종과 유사한 반응을 나타내어 병반장의 변화가 적었다. Xa7 유전자를 갖는 IRBB 107 계통은 벼의 생육기간동안 사용된 3 균주 모두에 저항성으로 반응하여 가장 안정된 저항성원인 것으로 판단된다.

• 호남수학학술지
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• 제32권4호
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• pp.663-673
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• 2010

In this paper, we will establish common fixed point for compatible mappings of type(${\alpha}$) for four self mappings defined on intuitionistic fuzzy metric space with implicit relations.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제11권3호
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• pp.149-152
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• 2011

In this paper, we obtain common fixed point theorem for common property(E.A.) and weakly compatible functions in intuitionistic fuzzy metric space.