• East Asian mathematical journal
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• 제14권1호
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• pp.141-148
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• 1998

• 자연과학논문집
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• 제11권1호
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• pp.7-10
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• 1999

본 논문에서는 Seq, Conv 그리고 Top 카테고리 사이의 여러 가지 functor를 이용하여 그들 사이의 관계를 조사한다

• East Asian mathematical journal
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• 제10권2호
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• pp.271-277
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• 1994

• 대한수학회논문집
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• 제7권2호
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• pp.209-212
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• 1992

• 대한수학회논문집
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• 제8권4호
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• pp.729-739
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• 1993

• 대한수학회논문집
• /
• 제38권1호
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• pp.267-280
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• 2023

In this article, we show that the family of all 𝓘^𝒦-open subsets in a topological space forms a topology if 𝒦 is a maximal ideal. We introduce the notion of 𝓘^𝒦-covering map and investigate some basic properties. The notion of quotient map is studied in the context of 𝓘^𝒦-convergence and the relationship between 𝓘^𝒦-continuity and 𝓘^𝒦-quotient map is established. We show that for a maximal ideal 𝒦, the properties of continuity and preserving 𝓘^𝒦-convergence of a function defined on X coincide if and only if X is an 𝓘^𝒦-sequential space.

• East Asian mathematical journal
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• 제26권3호
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• pp.337-350
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• 2010

Strong convergence theorem of the explicit viscosity iterative scheme involving the sunny nonexpansive retraction for nonexpansive nonself-mappings is established in a reflexive and strictly convex Banach spaces having a weakly sequentially continuous duality mapping. The main result improves the corresponding result of [19] to the more general class of mappings together with certain different control conditions.