Multivalued weakly picard operators via simulation functions with application to functional equations

Hussain A., Yaqoob S., Abdeljawad T., Rehman H. U.

AIMS Mathematics, cilt.6, sa.3, ss.2078-2093, 2021 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3934/math.2021127
  • Dergi Adı: AIMS Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.2078-2093
  • Anahtar Kelimeler: Data dependence, Dynamical system, Functional equation, Multivalued Picard operator, Z-contraction
  • Uşak Üniversitesi Adresli: Hayır

Özet

The aim of this paper is to introduce the notion of Suzuki type multivalued contraction with simulation functions and then to set up some new fixed point and data dependence results for these type of contraction mappings. We produce an example to support our results. Moreover, we present an application to functional equation arising in dynamical system.