Weak partial b-metric spaces and Nadler's theorem

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Kanwal T., Hussain A., Kumam P., SAVAŞ E.

Mathematics, cilt.7, sa.4, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3390/math7040332
  • Dergi Adı: Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Hausdorff metric space, Multivalued mappings, Nadler's theorem
  • Uşak Üniversitesi Adresli: Evet

Özet

The purpose of this paper is to define the notions of weak partial b-metric spaces and weak partial Hausdorff b-metric spaces along with the topology of weak partial b-metric space. Moreover, we present a generalization of Nadler's theorem by using weak partial Hausdorff b-metric spaces in the context of a weak partial b-metric space. We present a non-trivial example which show the validity of our result and an application to nonlinear Volterra integral inclusion for the applicability purpose.