AIMS Mathematics (Jan 2021)

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

  • Azhar Hussain,
  • Saman Yaqoob,
  • Thabet Abdeljawad,
  • Habib Ur Rehman

DOI
https://doi.org/10.3934/math.2021127
Journal volume & issue
Vol. 6, no. 3
pp. 2078 – 2093

Abstract

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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.

Keywords