• East Asian mathematical journal
• /
• v.14 no.1
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• pp.141-148
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• 1998

• The Journal of Natural Sciences
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• v.11 no.1
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• pp.7-10
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• 1999

In this paper, we obtain the relations among the categories such as Seq, Conv and Top by using various functors between them.

• East Asian mathematical journal
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• v.10 no.2
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• pp.271-277
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• 1994

• Communications of the Korean Mathematical Society
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• v.7 no.2
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• pp.209-212
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• 1992

• Communications of the Korean Mathematical Society
• /
• v.8 no.4
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• pp.729-739
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• 1993

• Communications of the Korean Mathematical Society
• /
• v.38 no.1
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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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• v.26 no.3
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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.