An Ulam stability result on quasi-b-metric-like spaces

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Alsulami H. H., GÜLYAZ S., KARAPINAR E., ERHAN İ.

OPEN MATHEMATICS, cilt.14, ss.1087-1103, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1515/math-2016-0097
  • Dergi Adı: OPEN MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1087-1103
  • Anahtar Kelimeler: Fixed point, Quasi-b-metric like, alpha-admissible contraction mappings, Ulam-Hyers stability, FIXED-POINT THEOREMS, HYERS STABILITY, ALPHA, MAPPINGS
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this paper a class of general type alpha-admissible contraction mappings on quasi-b-metric-like spaces are defined. Existence and uniqueness of fixed points for this class of mappings is discussed and the results are applied to Ulam stability problems. Various consequences of the main results are obtained and illustrative examples are presented.