International Journal of Nonlinear Analysis and Applications

Multivalued operators, data dependence of fixed points and fractals

Document Type : Research Paper

Authors

1 Department of Mathematics, Lovely Professional University, Phagwara, 144411, India

2 IKG Punjab Technical University, Kapurthala, 144603, India

3 School of Mathematics, Thapar Institute of Engineering & Technology (Deemed to be University), Patiala, 147004, India

Abstract

In the present manuscript, we prove some new fixed point results for multivalued mappings in the setting of b-metric space. Also, we obtain some results for the data dependence of fixed points, the directed graph endowed with a b-metric and for the fractals of an iterated multifunction system. The proven results extend and generalize some of the results in the literature.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 1
January 2023
Pages 2843-2858
  • Receive Date: 07 November 2021
  • Revise Date: 16 October 2022
  • Accept Date: 11 December 2022