• Journal of the Chungcheong Mathematical Society
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• v.36 no.4
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• pp.289-296
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• 2023

When G is an abelian group, we use the notation M(G, n) to denote the Moore space. The space X is the wedge product space of Moore spaces, given by X = M(ℤ_q, n+ 2) ∨ M(ℤ_q, n+ 1) ∨ M(ℤ_q, n). We determine the self-homotopy classes group [X, X] and the self-homotopy equivalence group 𝓔(X). We investigate the subgroups of [M_j , M_k] consisting of homotopy classes of maps that induce the trivial homomorphism up to (n + 2)-homotopy groups for j ≠ k. Using these results, we calculate the subgroup 𝓔^dim_#(X) of 𝓔(X) in which all elements induce the identity homomorphism up to (n + 2)-homotopy groups of X.

• East Asian mathematical journal
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• v.28 no.5
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• pp.569-578
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• 2012

In this paper, the necessary and sufficient conditions for the strong convergence of a modified Mann iteration process to a fixed point of an asymptotically demicontractive mapping in real Banach spaces are considered. Presented results improve and extend the results of Igbokwe [3], Liu [4], Moore and Nnoli [6] and Osilike [7].

• Korean Institute of Interior Design Journal
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• no.33
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• pp.27-35
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• 2002

The qualify of preschool education is related to the qualify of the physical environment, This research is aiming to develop and validate the set of scales for the measurement of physical quality of the interior spaces in child care facilities. The research has been in three major phases: (1)the development of indicative sub-scales for the description, measurement and evaluation of the physical designed quality of early childhood environments (2)two rounds of iterative phases of reliability and validity testing of the scales through expert panels and observational field-testing and (3)implications for future research to be done. 13 sub-scales were developed, which are based on Moore's 15 design principal for child care environments. And each sub-scale includes several evaluation items based upon developmental theory, existing empirical literature, and Korean, Australian and American child care standards. This set of scales will (1)aid research on the effects of environmental variables on quality of child care facilities for infants, toddlers, and preschoolers; (2)permit evaluation of such environments to identify areas of needed improvement; and (3)provide information for policy makers, parents, administrators, and designers/architects.