COMPATIBLE MAPS AND COMMON FIXED POINTS IN MENGER PROBABILISTIC METRIC SPACES

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Kütükcü S., Sharma S.

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, cilt.24, sa.1, ss.17-27, 2009 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 1
  • Basım Tarihi: 2009
  • Doi Numarası: 10.4134/ckms.2009.24.1.017
  • Dergi Adı: COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.17-27
  • Anahtar Kelimeler: Menger space, t-norm, common fixed point, compatible maps
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In the present work, we introduce two types of compatible maps and prove a common fixed point theorem for such maps in Menger probabilistic metric spaces. Our result generalizes and extends many known results in metric spaces and fuzzy metric spaces.