• 대한수학회보
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• 제36권3호
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• pp.565-578
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• 1999

In this paper some common fixed point theorems for pairs of condensing mappings in a Banach space are proved and applications are given to a pair of nonlinear first order ordinary differential equations in Banach spaces for proving the existence of common solution under suitable conditions.

• Kyungpook Mathematical Journal
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• 제62권1호
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• pp.89-106
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• 2022

We are concerned with finding a common solution to an equilibrium problem associated with a bifunction, and a constrained convex minimization problem. We propose an iterative fixed point algorithm and prove that the algorithm generates a sequence strongly convergent to a common solution. The common solution is identified as the unique solution of a certain variational inequality.

• 대한수학회지
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• 제53권1호
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• pp.89-114
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• 2016

In this paper, we introduce and study an explicit hybrid relaxed extragradient iterative method to approximate a common solution to generalized mixed equilibrium problem and fixed point problem for a nonexpansive semigroup in Hilbert space. Further, we prove that the sequence generated by the proposed iterative scheme converges strongly to the common solution to generalized mixed equilibrium problem and fixed point problem for a nonexpansive semigroup. This common solution is the unique solution of a variational inequality problem and is the optimality condition for a minimization problem. The results presented in this paper are the supplement, improvement and generalization of the previously known results in this area.

• 대한수학회보
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• 제45권3호
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• pp.573-585
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• 2008

A few sufficient conditions for the existence and uniqueness of fixed point and common fixed point for certain contractive type mappings in complete metric spaces are provided. Several existence and uniqueness results of solution and common solution for some functional equations and system of functional equations in dynamic programming are discussed by using the fixed point and common fixed point theorems presented in this paper.

• 산업경영시스템학회지
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• 제14권23호
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• pp.27-36
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• 1991

This paper considers scheduling a set of n-jobs on m-paraller identical processors in which all jobs have the common due date. The objective of the problem is to minimize the weighted mean absolute deviation of job completion times about such common due dates under the assumption that each job has a different weight. and to determine the optimal value of a common due date. We propose four heuristic solution methods based on several dominance conditions, and its solution procedure is illustrated with numerical examples. The Performance comparison is made among four heuristic scheduling procedures.

• 생물환경조절학회지
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• 제8권2호
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• pp.90-98
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• 1999

양액재배시 적합한 배지와 배양액농도를 선발하고자 본 실험을 수행하였으며, 공시작물은 백리향(Thymus vulgaris L.)으로 하였다. 배양액의 농도는 European Vegetable R&D Center에서 개발한 herb 배양액(EC=2.4)을 0.5, 1, 2, 3배로 조제하여 사용하였다. 배지는 고형배지로 펄라이트 단용, 코코피트 단용 그리고 펄라이트와 코코피트 혼용(50:50 v/v)을 사용하였고, 비고형배지로는 DFT를 사용하여 총 4처리로 하였다. 생육은 다른 배지 처리구보다 담액수경에서 가장 좋았다. 펄라이트와 담액수경에서는 배양액농도가 높을수록 생육이 감소하였으나 코코피트는 1배, 혼용 배지는 2배 처리구에서 가장 높은 생체중을 보였다. 엽록소와 비타민 C의 함량 또한 다른 배지 처리구보다 담액수경에서 더 높은 함량을 보였다. 배지의 종류에 따른 무기물 함량은 NO$_{3}$-N과 Mg를 제외하고 모두 코코피트에서 가장 높은 함량을 나타내었다. NO$_{3}$-N의 함량은 담액 수경에서 1000 ppm 내외의 낮은 함량을 보였다. 따라서 본 실험의 결과, 백리향의 생육은 DFT를 사용하여 herb배양액 0.5배(EC =1.2mS/cm)농도로 재배한 처리구에서 가장 좋은 생육을 보였다.

• Korean Journal of Mathematics
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• 제24권3호
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• pp.495-524
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• 2016

In this paper, we propose an iterative algorithm for finding a common solution of a system of generalized equilibrium problems, a split equilibrium problem and a hierarchical fixed point problem over the common fixed points set of a finite family of nonexpansive mappings in Hilbert spaces. Furthermore, we prove that the proposed iterative method has strong convergence under some mild conditions imposed on algorithm parameters. The results presented in this paper improve and extend the corresponding results reported by some authors recently.

• Journal of applied mathematics & informatics
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• 제26권1_2호
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• pp.61-73
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• 2008

In this paper common fixed point theorems dealing with compatible mappings of type (P) are established. As a application, the existence and uniqueness of common solution for a system of functional equations arising in dynamic programming is given. The results presented in this paper improve, generalize and unify the corresponding results in this field.

• East Asian mathematical journal
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• 제25권1호
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• pp.11-26
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• 2009

In this paper, the concepts of compatible mappings of types (A) and (P) are introduced in an induced metric space, two common xed point theorems for two pairs of compatible mappings of types (A) and (P) in an induced complete metric space are established. As their applications, the existence and uniqueness results of common solution for a system of functional equations arising in dynamic programming are discussed.

• 생물환경조절학회지
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• 제9권2호
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• pp.79-84
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• 2000

Thymus속의 common thyme과 thyme의 담액수경 재배시 배양액의 이온농도를 달리하여 두 종의 생육과 품질을 비교하였다. 배양액의 이온농도는 1.2, 2.4, 4.8 그리고 $7.2mS.cm^{-1}$로 하였다. 두 종 모두 $0.5(EC=1.2\;mS.cm^{-1})$배와 1배의 낮은 이온농도 처리에서 생육이 좋았다. Common thyme과 lemon thyme의 생육은 배양액내 이온농도가 높아질수록 건물율은 증가했으나 초장, 근장과 생체중은 감소하였다. 엽록소 함량은 lemon thyme에서 더 높았으나 비타민 C의 함량과 정유함량은 common thyme에서 더 높았다. 두 종간의 주요 정유 성분 차이를 보면, common thyme의 주성분은 thymo과 carvacrol이고, lemon thyme은 geranio과 ${\alpha}-citral$로 각각 정유 성분의 50~70%를 차지하고 있다. 이들의 각 주성분의 함량은 생육이 좋았던 0.5배에서 가장 많았다. 결과적으로 수경재배시 common thyme과 lemon thyme 모두 허브 배양액 0.5배액으로 재배시 우수한 품질의 작물을 생산할 수 있었다.