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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.
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