A study of a general system of operator equations in \(b\)-metric spaces via the vector approach in fixed point theory

DOI10.1007/s11784-016-0332-xzbMath1489.54195OpenAlexW2529261738MaRDI QIDQ1687159

Adrian Petruşel, Gabriela Petrusel

Publication date: 22 December 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-016-0332-x

zbMATH Keywords

fixed pointwell-posednessboundary value problemdata dependencecoupled fixed pointordered metric spaceUlam-Hyers stabilitysingle-valued operatorlimit shadowing integral equation

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (11)

On two questions of A. Petruşel and G. Petruşel in \(b\)-metric fixed point theory ⋮ Fixed points vs. coupled fixed points ⋮ Fixed point results for Perov type \(F\)-contractions and an application ⋮ Strong coupled fixed points of Perov type contractive mappings via \(c\)-distance ⋮ Graphical contractions and common fixed points in \(b\)-metric spaces ⋮ New fixed point theorems on \(b\)-metric spaces with applications to coupled fixed point theory ⋮ Multivariate systems of nonexpansive operator equations and iterative algorithms for solving them in uniformly convex and uniformly smooth Banach spaces with applications ⋮ Ulam Stability of Zero Point Equations ⋮ Unnamed Item ⋮ Existence and stability results for a system of operator equations via fixed point theory for nonself orbital contractions ⋮ Unnamed Item

Cites Work

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• Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces
• Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
• Heterogeneous and combined concave operators
• A generalized metric space and related fixed point theorems
• Fixed point theorems in partially ordered metric spaces and applications
• Genericity in nonlinear analysis
• Fixed Point Theory in Distance Spaces
• Coupled fixed points of nonlinear operators with applications
• 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

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