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Convex structure, normal structure and a fixed point theorem in intuitionistic fuzzy metric spaces

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  • Ješić, Siniša N.

Abstract

In this paper we define convex, strict convex and normal structures for sets in intuitionistic fuzzy metric spaces. Also, we shall prove a fixed point theorem for a wide class of non-expansive mappings defined on intuitionistic fuzzy metric spaces with convex structure.

Suggested Citation

  • Ješić, Siniša N., 2009. "Convex structure, normal structure and a fixed point theorem in intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 292-301.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:1:p:292-301
    DOI: 10.1016/j.chaos.2007.12.002
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    References listed on IDEAS

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    1. 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.
    2. Razani, Abdolrahman, 2006. "Existence of fixed point for the nonexpansive mapping of intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 367-373.
    3. Gregori, V. & Romaguera, S. & Veeramani, P., 2006. "A note on intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 902-905.
    4. El Naschie, M.S., 2007. "Hilbert space, Poincaré dodecahedron and golden mean transfiniteness," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 787-793.
    5. Marek-Crnjac, L., 2007. "Higher dimensional dodecahedra as models of the macro and micro universe in E-infinity Cantorian space-time," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 944-950.
    6. 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.
    7. El Naschie, M.S., 2006. "E-infinity theory—Some recent results and new interpretations," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 845-853.
    8. 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.
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