Fixed point and coincidence point theorems in b-metric spaces with applications

DOI10.2298/AADM1701199PzbMath1491.54127OpenAlexW2613544714MaRDI QIDQ5034284

Adrian Petruşel, Gabriela Petrusel, Jen-Chih Yao

Publication date: 24 February 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm1701199p

zbMATH Keywords

fixed pointqualitative propertiescoincidence pointordered metric space\(b\)-metric space

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items

Common new fixed point results on b-cone Banach spaces over Banach algebras, Observations on relation-theoretic coincidence theorems under Boyd-Wong type nonlinear contractions, The concept of cone \(b\)-Banach space and fixed point theorems, Common fixed and coincidence point theorems for nonlinear self-mappings in cone \(b\)-metric spaces using \(\varphi\)-mapping, Ulam Stability of Zero Point Equations, Pseudo-contractivity and metric regularity in fixed point theory, Some extension results on cone \(b\)-metric spaces over Banach algebras via \(\varphi\)-operator, Graph contractions in vector-valued metric spaces and applications, Simulation functions: a survey of recent results, Contributions to the coupled coincidence point problem in b-metric spaces with applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Coupled fixed points in partially ordered metric spaces and application
• Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Fixed point theorems in partially ordered metric spaces and applications
• Ulam Stability of the Operatorial Equations
• Coincidence problems for generalized contractions
• Fixed Point Theory in Distance Spaces
• Fixed point theorems in ordered abstract spaces
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• A study of the coupled fixed point problem for operators satisfying a max-symmetric condition in b-metric spaces with applications to a boundary value problem