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Best approximation on probabilistic normed spaces

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  • Shams, M.
  • Vaezpour, S.M.

Abstract

The main purpose of this paper is to study the best approximation in probabilistic normed spaces. We define the best approximation in these spaces and generalize some definitions such as set of best approximation, proximinal set and approximatively compact set. Then prove some theorems about them.

Suggested Citation

  • Shams, M. & Vaezpour, S.M., 2009. "Best approximation on probabilistic normed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1661-1667.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:1661-1667
    DOI: 10.1016/j.chaos.2008.07.009
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    References listed on IDEAS

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    1. El Naschie, M.S., 2007. "On gauge invariance, dissipative quantum mechanics and self-adjoint sets," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 271-273.
    2. El Naschie, Mohamed Saladin, 2006. "The idealized quantum two-slit gedanken experiment revisited—Criticism and reinterpretation," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 843-849.
    3. El Naschie, M.S., 2006. "Fuzzy Dodecahedron topology and E-infinity spacetime as a model for quantum physics," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1025-1033.
    4. El Naschie, M.S., 2008. "P-Adic analysis and the transfinite E8 exceptional Lie symmetry group unification," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 612-614.
    5. El Naschie, M.S., 2006. "On two new fuzzy Kähler manifolds, Klein modular space and ’t Hooft holographic principles," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 876-881.
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