Hβ-Hausdorff Functions and Common Fixed Points of Multivalued Operators in a b-Metric Space and Their Applications

Hβ-Hausdorff functions for β∈0,1 are introduced, and common fixed-point theorems for a pair of multivalued operators satisfying generalized contraction conditions are proven in a b-metric space. Our results are proper extensions and new variants of many contraction conditions existing in literature....

Full description

Saved in:
Bibliographic Details
Published in:Journal of function spaces 2022-07, Vol.2022, p.1-12
Main Authors: Alshammari, Fahad Sameer, Alrashedi, Naif R., George, Reny
Format: Article
Language:English
Subjects:
Existence theorems
Fixed points (mathematics)
Fractals
Inequality
Integral equations
Metric space
Operators (mathematics)
Theorems
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Hβ-Hausdorff functions for β∈0,1 are introduced, and common fixed-point theorems for a pair of multivalued operators satisfying generalized contraction conditions are proven in a b-metric space. Our results are proper extensions and new variants of many contraction conditions existing in literature. In order to demonstrate applications of our result, we have proven an existence theorem for a unique common multivalued fractal of a pair of iterated multifunction systems and also an existence theorem for a common solution of a pair of Volterra-type integral equations.
ISSN:2314-8896
2314-8888
DOI:10.1155/2022/1931861