Fixed point results and an application to homotopy in modular metric spaces

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Ege M. E., ALACA C.

Journal of Nonlinear Science and Applications, cilt.8, sa.6, ss.900-908, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 6
  • Basım Tarihi: 2015
  • Doi Numarası: 10.22436/jnsa.008.06.01
  • Dergi Adı: Journal of Nonlinear Science and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.900-908
  • Anahtar Kelimeler: Fixed point, Modular metric space, Orbitally w-continuity, T-orbitally w-completeness
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

The purpose of this paper is to define new concepts, such as T-orbitally w-completeness, orbitally w- continuity and almost weakly w-contractive mapping in the modular metric spaces. We prove some fixed point theorems for these related concepts and mappings in this space. Further, we give an application using the technique in [Lj. B. Ćirić, B. Samet, H. Aydi, C. Vetro, Appl. Math. Comput., 218 (2011), 2398-2406] and show that our results can be applied to homotopy.