A-Metrik Uzaylarda Banach Büzülme Teoreminin Bazı Versiyonları


Gelişgen Ö., Ermiş T.

Journal of Multidisciplinary Modeling and Optimization, cilt.5, sa.2, ss.11-19, 2023 (Hakemli Dergi)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 2
  • Basım Tarihi: 2023
  • Dergi Adı: Journal of Multidisciplinary Modeling and Optimization
  • Derginin Tarandığı İndeksler: Asos İndeks, Sobiad Atıf Dizini
  • Sayfa Sayıları: ss.11-19
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

The A−metric space, which is one of the last generalizations in the literature of conventional metric spaces, in which the distance between n points can be measured simultaneously, has been introduced in 2015 by Mujahid Abbas et al. In this study, besides some versions of the Banach fixed point theorem in A−metric space, we also give a generalization of the Nemytskii-Edelstein fixed point theore and a fixed point theorem where we examine the behavior of a contraction function defined on an A−closed ball.