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Extreme points in minimal spaces

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  • Alimohammady, M.
  • Roohi, M.

Abstract

In this paper, minimal Euclidean space and minimal upper and lower semicontinuous functions are introduced and some properties of them are considered. It is shown that every m-continuous function from (X,M) to M1 attains its maximum and minimum values, if (X,M) is an m-compact space.

Suggested Citation

  • Alimohammady, M. & Roohi, M., 2009. "Extreme points in minimal spaces," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1480-1485.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:3:p:1480-1485
    DOI: 10.1016/j.chaos.2007.06.028
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    References listed on IDEAS

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    1. El Naschie, M.S., 2005. "Non-Euclidean spacetime structure and the two-slit experiment," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 1-6.
    2. Alimohammady, M. & Roohi, M., 2007. "Linear minimal space," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1348-1354.
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    Cited by:

    1. Alimohammady, M. & Roohi, M. & Delavar, M.R., 2009. "Transfer closed and transfer open multimaps in minimal spaces," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1162-1168.

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