Fixed point results for generalized rational type $$\alpha$$ α -admissible contractive mappings in the setting of partially ordered b-metric spaces

Abstract Objectives In this paper we introduce fixed point theorems for generalized rational type $$\alpha$$ α -admissible contractive mappings in partially ordered b-metric spaces and prove the existence and uniqueness of fixed points for self-mappings satisfying the established theorems. Finally,...

Full description

Saved in:
Bibliographic Details
Published inBMC research notes Vol. 15; no. 1; pp. 1 - 11
Main Authors Kedir Husen Haji, Kidane Koyas Tola, Mustefa Abduletif Mamud
Format Journal Article
LanguageEnglish
Published BMC 01.07.2022
Subjects
Fixed point
Generalized rational type $$\alpha$$ α -admissible contractive mappings
Partially ordered b-metric space
Online AccessGet full text

Cover

More Information
Summary:Abstract Objectives In this paper we introduce fixed point theorems for generalized rational type $$\alpha$$ α -admissible contractive mappings in partially ordered b-metric spaces and prove the existence and uniqueness of fixed points for self-mappings satisfying the established theorems. Finally, we provide examples in support of our main findings in the setting of partially ordered b-metric spaces. Result New fixed point results have been obtained for generalized rational type $$\alpha$$ α -admissible contractive mappings in the setting of partially ordered b-metric space and we applied one of our results to determine a solution to an integral equation.
ISSN:1756-0500
DOI:10.1186/s13104-022-06122-z