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L-Fuzzy Euclidean normed spaces and compactness

Author

Listed:
  • Deschrijver, Glad
  • O’Regan, Donal
  • Saadati, Reza
  • Mansour Vaezpour, S.

Abstract

In this paper, L-fuzzy Euclidean normed spaces are defined and compactness in these spaces is considered.

Suggested Citation

  • Deschrijver, Glad & O’Regan, Donal & Saadati, Reza & Mansour Vaezpour, S., 2009. "L-Fuzzy Euclidean normed spaces and compactness," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 40-45.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:1:p:40-45
    DOI: 10.1016/j.chaos.2008.10.026
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    References listed on IDEAS

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    1. 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.
    2. Saadati, Reza & Park, Jin Han, 2006. "On the intuitionistic fuzzy topological spaces," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 331-344.
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    4. Saadati, Reza & Razani, Abdolrahman & Adibi, H., 2007. "A common fixed point theorem in L-fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 358-363.
    5. Saadati, Reza, 2008. "Notes to the paper “Fixed points in intuitionistic fuzzy metric spaces” and its generalization to L-fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 176-180.
    6. Razani, Abdolrahman & Shirdaryazdi, Maryam, 2007. "A common fixed point theorem of compatible maps in Menger space," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 26-34.
    7. Gregori, V. & Romaguera, S. & Veeramani, P., 2006. "A note on intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 902-905.
    8. Yilmaz, Yilmaz, 2009. "Fréchet differentiation of nonlinear operators between fuzzy normed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 473-484.
    9. Liao, Gongfu & Ma, Xianfeng & Wang, Lidong, 2007. "Individual chaos implies collective chaos for weakly mixing discrete dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 604-608.
    10. 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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