Contributions to the fixed point theory of diagonal operators

DOI10.1186/s13663-016-0589-1zbMath1367.47060OpenAlexW2528818329WikidataQ59459964 ScholiaQ59459964MaRDI QIDQ2012273

Ioan A. Rus, Adrian Petruşel, Marcel-Adrian Şerban

Publication date: 28 July 2017

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

Full work available at URL: https://doi.org/10.1186/s13663-016-0589-1

zbMATH Keywords

integral equationfixed pointdifferential equationdifference equationcoupled fixed pointdiagonal operatormulti-valued operatorweakly Picard operatorfixed point structure

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (2)

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

Cites Work

• Coupled fixed point theorems for single-valued operators in \(b\)-metric spaces
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• 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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