On Interpolative Hardy-Rogers Type Multivalued Contractions via a Simulation Function

Karapınar E., Ali A., Hussain A., Aydi H.

Filomat, vol.36, no.8, pp.2847-2856, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 8
  • Publication Date: 2022
  • Doi Number: 10.2298/fil2208847k
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.2847-2856
  • Keywords: Data dependence, Ho-motopy, Multivalued interpolative Hardy-Rogers ZG-contraction, Strict fixed points, Well-posedness
  • Uşak University Affiliated: No

Abstract

In this paper, the notion of multivalued interpolative Hardy-Rogers-contractions using generalized simulation functions is introduced. We establish some related fixed point results and we provide some examples. We also prove data dependence of the fixed point sets. Moreover, we present strict fixed point set, well-posedness and homotopy results.