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The existence theorems for fixed and periodic points of nonexpansive mappings in intuitionistic fuzzy metric spaces

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  • Ćirić, Ljubomir B.
  • Ješić, Siniša N.
  • Ume, Jeong Sheok

Abstract

In this paper we introduce and investigate a class of asymptotically nonexpansive mappings which properly extends the class of nonexpansive mappings. We proved general existence theorems for fixed and periodic points of these mappings in arbitrary intuitionistic fuzzy metric spaces and so we solved an open problem, related to periodic points.

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  • Ćirić, Ljubomir B. & Ješić, Siniša N. & Ume, Jeong Sheok, 2008. "The existence theorems for fixed and periodic points of nonexpansive mappings in intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 781-791.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:3:p:781-791
    DOI: 10.1016/j.chaos.2006.09.093
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    Cited by:

    1. Parvin Azhdari, 2015. "Some Theorems about -Contraction in Fuzzy Metric Spaces," Journal of Mathematics, Hindawi, vol. 2015, pages 1-5, October.

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