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

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

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,...