AIMS Mathematics (Aug 2022)

Existence of fixed points of generalized set-valued F-contractions of b-metric spaces

  • Basit Ali ,
  • Hafiza Aqsa Butt,
  • Manuel De la Sen

DOI
https://doi.org/10.3934/math.2022990
Journal volume & issue
Vol. 7, no. 10
pp. 17967 – 17988

Abstract

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This paper deals with the existence of non-empty fixed point sets of newly introduced generalized set-valued F-contractions of b-metric spaces. Some illustrative examples show that the new results in this paper generalize properly, unify and extend some related results in the existing literature. Moreover, we extract some important consequences of the results in b-metric spaces. Particularly, by setting b-metric constant equal to one, we obtain some specific cases showing notable enhancement of existing results yet in metric spaces.

Keywords