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

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

AIMS Mathematics, vol.6, no.3, pp.2078-2093, 2021 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 3
  • Publication Date: 2021
  • Doi Number: 10.3934/math.2021127
  • Journal Name: AIMS Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Page Numbers: pp.2078-2093
  • Keywords: Data dependence, Dynamical system, Functional equation, Multivalued Picard operator, Z-contraction
  • Uşak University Affiliated: No

Abstract

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.