• Nonlinear Functional Analysis and Applications
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• 제26권1호
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• pp.93-104
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• 2021

In this paper, we present a fixed point theorem for a family of generalized condensing multimaps which have ranges of the Zima-Hadžić type in Hausdorff KKM uniform spaces. It extends Himmelberg et al. type fixed point theorem. As applications, we obtain some new collective fixed point theorems for various type generalized condensing multimaps in abstract convex uniform spaces.

• 대한수학회보
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• 제38권1호
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• pp.113-120
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• 2001

Using the notions of admissibility, local convexity and measure of noncompactness, we give new fixed point theorems for quasicompact or condensing multivalued mappings with domains that are not necessarily convex subsets of an arbitrary topological vector space.

• 대한수학회지
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• 제35권4호
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• pp.803-829
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• 1998

We give general fixed point theorems for compact multimaps in the "better" admissible class $B^{K}$ defined on admissible convex subsets (in the sense of Klee) of a topological vector space not necessarily locally convex. Those theorems are used to obtain results for $\Phi$-condensing maps. Our new theorems subsume more than seventy known or possible particular forms, and generalize them in terms of the involving spaces and the multimaps as well. Further topics closely related to our new theorems are discussed and some related problems are given in the last section.n.

• 충청수학회지
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• 제35권4호
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• pp.297-305
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• 2022

First, we generalize homotopy results of O'Regan [6] for Mönch type multimaps to Chandrabhan type multimaps. Second, we show that the better admissible Chandrabhan type multimaps have fixed point properties whenever their ranges are Klee approximable. Finally, we give examples of essential maps for various class of multimaps including 𝚽-condensing multimaps.

• 대한수학회지
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• 제36권4호
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• pp.829-832
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• 1999

This to correct Section 4 of our previous work [1].

• 한국농업기계학회:학술대회논문집
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• 한국농업기계학회 2000년도 THE THIRD INTERNATIONAL CONFERENCE ON AGRICULTURAL MACHINERY ENGINEERING. V.III
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• pp.639-646
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• 2000

Hot air heater with light oil combustion is the most common heater for greenhouse heating in the winter season in Korea. However, since the heat efficiency of the heater is about 80%, considerable unused heat in the form of exhaust gas heat discharges to atmosphere. In order to capture this exhaust gas heat a heat recovery system for plant bed heating in the greenhouse was built and tested in the hot air heating system of greenhouse. The system consists of a heat exchanger made of copper pipes, ${\phi}\;12.7{\times}0.7t$ located inside the rectangular column of $330{\times}330{\times}900mm$, a water circulation pump, circulation plastic pipe and a water tame The total heat exchanger area is $1.5m^2$, calculated considering the heat exchange amount between flue gas and water circulated in the copper pipes. The system was attached to the exhaust gas path. The heat recovery system was designed as to even recapture the latent heat of flue gas when exposing to low temperature water in the heat exchanger. According to performance test it can recover 45,200 to 51,000kJ/hr depending on the water circulation rates of 330 to $690{\ell}$/hr from the waste heat discharged. The exhaust gas temperature left from the heat exchanger dropped to $100^{circ}C$ from $270^{circ}C$ by the heat exchange between the water and the flue gas, while water gained the difference and temperature increased to $38^{circ}C$ from $21^{circ}C$ at the water flow rate of $690{\ell}$/hr. And, the condensed water amount varies from 16 to $43m{\ell}$ at the same water circulation rates. This condensing heat recovery system can reduce boiler fuel consumption amount in a day by 34% according to the feasibility study of the actual mimitomato greenhouse. No combustion load was observed in the hot air heater.

• 대한환경공학회지
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• 제28권3호
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• pp.345-350
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• 2006

본 연구에서는 생물학적 처리방법으로 염색폐수의 난분해성 유기물질을 효과적으로 처리하기 위한 방안으로 활성슬러지를 Polyethylene glycol(PEG)에 포괄고정화한 담체를 유동상 반응기를 이용하여 난분해성 유기물질의 처리효율을 평가하고 적정 운전인자를 검토하였다. 담체는 내경 4 mm${\times}$높이 4 mm의 원통형으로 미세공극을 가진 PEG재질의 담체를 제조하기 위해 PEG-prepolymer와 미생물을 젤 상태에서 혼합하여 고형화 시켰으며, 이때 담체에 사용된 미생물은 염색폐수에 순응시키지 않은 상태에서 합성되었다. 연속 호기성 유동상 반응기의 유입수는 $SCOD_{Cr}$ 약 330 mg/L, $SBOD_5$ 20 mg/L 이하의 생물학적 처리수를 사용하였고, 체류시간의 변화에 따른 각 반응기의 난분해성 유기물질 제거효율을 비교하였다 생물학적 처리수를 유입수로 하여 동일한 HRT로 운전한 결과 모든 조건에서 45% 이상의 유기물 제거효율을 보였으며, HRT 12 hr이 유기물 제거효율 등을 고려할 때 안정된 효율을 얻을 수 있는 적정 체류시간으로 판단되었다. 특히 기질환경의 변화에 따른 유기물 제거효율의 변화를 확인하기 위하여 생물학적 처리전의 처리장 유입폐수를 처리한 결과 $SCOD_{Cr}$ 70% 이상, $SBOD_5$ 97% 이상의 높은 처리효과를 나타내었다. 포괄고정화 담체를 이용한 염색폐수처리에서 유동상 반응기는 기존 활성슬러지 공정을 대신하거나 혼용하여 적용하는 것이 가능할 것으로 판단되어진다.