A fixed point theorem and the Hyers-Ulam stability in Riesz spaces

DOI10.1186/1687-1847-2013-138zbMath1391.39031OpenAlexW2122765616WikidataQ59303161 ScholiaQ59303161MaRDI QIDQ1648705

Janusz Brzdȩk, Bogdan Batko

Publication date: 27 June 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-138

zbMATH Keywords

fixed pointRiesz spaceHyers-Ulam type stabilitysquare symmetric groupoid

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82)

Related Items

Fixed point theory and the Ulam stability ⋮ On the Ulam-Hyers stability of the complex functional equation \(F(z)+F(2z)+\cdots +F(nz)=0 \) ⋮ On approximate solutions of functional equations in vector lattices ⋮ Stability of the exponential functional equation in Riesz algebras ⋮ Stability for a family of equations generalizing the equation of \(p\)-Wright affine functions ⋮ Stability of preserving lattice cubic functional equation in Menger probabilistic normed Riesz spaces ⋮ Spectral representation theory and stability of the multiplicative Dhombres functional equation in \(f\)-algebras

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