• Bulletin of the Korean Mathematical Society
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• v.52 no.1
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• pp.125-135
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• 2015

Let R be a commutative ring and U an R-module. The aim of this paper is to study the duality between U-reflexive (pre)envelopes and U-reflexive (pre)covers of R-modules.

• Bulletin of the Korean Mathematical Society
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• v.37 no.3
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• pp.437-450
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• 2000

On the setting of the half-plane H={x+iy$\mid$y>0} of the complex plane, we study some properties of weighted Bergman spaces and their duality. We also obtain some characterizations of compact Toeplitz operators.

• Bulletin of the Korean Mathematical Society
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• v.50 no.6
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• pp.2013-2020
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• 2013

We study some properties of representable generalized local homology modules. By duality, we get some properties of good generalized local cohomology modules.

• Communications of the Korean Mathematical Society
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• v.20 no.1
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• pp.71-78
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• 2005

In this paper, the iterative solution is studied for equation Tx = f with a uniformly continuous ${\varphi}$-strongly accretive operators in arbitrary real Banach spaces. Our results extend, generalize and improve the corresponding results obtained by Zeng [11].

• Korean Journal of Mathematics
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• v.4 no.2
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• pp.83-88
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• 1996

In 1994 Z.Liang constructed an iterative method for the solution of nonlinear equations involving m-accretive operators in uniformly smooth Banach spaces. In this paper we apply the slight variants of Liang's iterative methods and generalize the results of Z.Liang. Moreover our proof is more simple than Liang's proof.

• Journal of Korean Society of Industrial and Systems Engineering
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• v.12 no.20
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• pp.91-95
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• 1989

The activities of Quality assurance, in the past, were attached too much importance to the functions and performanced of products. Because of these practices, in general. product safeties were usually minimized corenen more disregarded from the central points. Qualify assurance should he accepted as one of a major management policies to satisfied with the users needs.

• Journal of applied mathematics & informatics
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• v.5 no.3
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• pp.797-804
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• 1998

A pair of multiobjective generalized symmetric dual non-linear programming problems and weak strong and converse dual-ity theorems for these problems are established under generalized $\rho-(\eta,0)$-invexity assumptions. Several known results are obtained as special cases.

• Korean Journal of Mathematics
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• v.5 no.1
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• pp.83-89
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• 1997

In this paper we generalize the concept of normality for the problem involving set functions in a view of Jahn. The main result is that the problem with Slater's constraint qualification is normal and stable.

• East Asian mathematical journal
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• v.31 no.3
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• pp.301-310
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• 2015

In this paper, we establish a strong convergence for the Noor iterative scheme associated with Lipschitz strongly pseudocontractive mappings in real Banach spaces. It's proof-method is very simple by comparing with the previous proofs known.

• Proceedings of the Korea Database Society Conference
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• 2000.11a
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• pp.119-123
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• 2000

In this note, we study recent results concerning simplicity and spatiality of involutive quantales from the algebraic point of view. When S is a sup-lattice (with a duality), Q(S)$\times$Q( $S^{op}$ ) (Q(S)) is an involutive quantale. Using this, some characterizations of simplicity and spatiality of involutive quantales are investigated.