TY - JOUR
T1 - Hβ -Hausdorff Functions and Common Fixed Points of Multivalued Operators in a b -Metric Space and Their Applications
AU - Alshammari, Fahad Sameer
AU - Alrashedi, Naif R.
AU - George, Reny
N1 - Publisher Copyright:
© 2022 Fahad Sameer Alshammari et al.
PY - 2022
Y1 - 2022
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85134695513&partnerID=8YFLogxK
U2 - 10.1155/2022/1931861
DO - 10.1155/2022/1931861
M3 - Article
AN - SCOPUS:85134695513
SN - 2314-8896
VL - 2022
JO - Journal of Function Spaces
JF - Journal of Function Spaces
M1 - 1931861
ER -