A Note on Mathematical Programming
조달훈 D . H . Cho
25(3) 1-10, 1987
조달훈 D . H . Cho
DOI: JANT Vol.25(No.3) 1-10, 1987
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Intuition for Educational Object and Mathematical Education
류희찬 H . C . Lew
25(3) 11-18, 1987
류희찬 H . C . Lew
DOI: JANT Vol.25(No.3) 11-18, 1987
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Equivalent Formulations of Zorn's Lemma and Other Maximum Principles
박세희 Sehie Park
25(3) 19-24, 1987
박세희 Sehie Park
DOI: JANT Vol.25(No.3) 19-24, 1987
In this paper, we give a result that maximum principles including Zorn`s lemma can be regarded as various types of fixed point theorems. Our main application is that the well-known ordering principles in nonlinear analysis including the Bishop-Phelps argument and a number of its generalizations can be converted to fixed point theorems and vice versa. Consequently, we obtain new results and unify many known results.
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Certain Class of Regular Univalent Functions
이석영 Suk Young Lee
25(3) 25-29, 1987
이석영 Suk Young Lee
DOI: JANT Vol.25(No.3) 25-29, 1987
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Ultra Bifilters on an Ordered Set
호문룡 Moon Lyong Ho
25(3) 31-33, 1987
호문룡 Moon Lyong Ho
DOI: JANT Vol.25(No.3) 31-33, 1987
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A Small-Sample Comparative Study on Subset Selection Procedures
송문섭 , 정성석 Moon Sup Song , Sung Suck Chung
25(3) 35-42, 1987
송문섭 , 정성석 Moon Sup Song , Sung Suck Chung
DOI: JANT Vol.25(No.3) 35-42, 1987
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A Note on Dunford-Pettis Operators
김영국 Young Kook Kim
25(3) 43-45, 1987
김영국 Young Kook Kim
DOI: JANT Vol.25(No.3) 43-45, 1987
In this paper we will investigate the relations between Dunford-Pettis operators and weakly compact operators. And we get a characterization of a Banach space with the RNP.
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A Generalization of the Kuratowski Intersection Theorem
김원규 Won Kyu Kim
25(3) 47-49, 1987
김원규 Won Kyu Kim
DOI: JANT Vol.25(No.3) 47-49, 1987
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On Universal Derivation Modules
한재영 Jae Young Han
25(3) 51-55, 1987
한재영 Jae Young Han
DOI: JANT Vol.25(No.3) 51-55, 1987
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Posets Related to Some Association Schemes
송성열 Sung Yell Sone
25(3) 57-69, 1987
송성열 Sung Yell Sone
DOI: JANT Vol.25(No.3) 57-69, 1987
A geometric interpretation of t-designs, in the context of posets, is given in the association scheme, not isomorphic with the Hamming scheme H(2, 4), but having the same parameters as H(2, 4). It is also shown that there is no similar poset which characterizes the designs for any of the three exceptional association schemes, not isomorphic with the Johnson scheme J(8, 2), but having the same parameters as J(8, 2).
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A Generalization of a Losey-Stonehewer Theorem
신현용 Hyun Yong Shin
25(3) 71-75, 1987
신현용 Hyun Yong Shin
DOI: JANT Vol.25(No.3) 71-75, 1987
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On a Numerical Homotopy Method for Solving Systems of Nonlinear Equations
박진홍 Chin Hong Park
25(3) 77-100, 1987
박진홍 Chin Hong Park
DOI: JANT Vol.25(No.3) 77-100, 1987
Let G : Rⁿ×R→Rⁿ be defined by a Homotopy solving a system F(χ)=0 of nonlinear equations. For the vector v^k with G`(u_k)v^k=0, ∥v^k∥=1 where u_k is one point in Zero Curve let u^k_0=v^k+τv^k be the first prediction for the next point u^(k+1), τ∈(0, 1). When u^k_0 is approaching too closely to some unwanted point, to follow the Zero Curve may occur the returning or cycling. One solution for it is discussed and the parametrizied Homotopy algorithm for solving F(χ)=0 with it has been established. Also some theorems by means of the regular value have been discussed for the Zero Curves of G(u)=0 and some theorems for algorithm have been obtained.
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Positive Linear Functionals and Representations
강신포 Sin Po Kang
25(3) 101-106, 1987
강신포 Sin Po Kang
DOI: JANT Vol.25(No.3) 101-106, 1987
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Note On the ( Cr ) - space and the Closed Graph Theorem
하영순 , 손용규 , 이상규 , 노정학 Yeoung Soon Ha , Yong Kyu Son , Sang Kyu Lee , Jeung Hark Lau
25(3) 107-110, 1987
하영순 , 손용규 , 이상규 , 노정학 Yeoung Soon Ha , Yong Kyu Son , Sang Kyu Lee , Jeung Hark Lau
DOI: JANT Vol.25(No.3) 107-110, 1987
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