Nonlinear stability of \(\rho\)-functional equations in latticetic random Banach lattice spaces

DOI10.3390/MATH6020022zbMath1434.39026OpenAlexW2791248184MaRDI QIDQ1657272

Reza Saadati, Mohammad Maleki V., Seiyed Mansour Vaezpour

Publication date: 13 August 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6020022

zbMATH Keywords

stabilityfixed point\(\rho\)-functional equationslattictic random Banach space

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (4)

Bi-additive \(\sigma \)-random operator inequalities and random quasi-\(*\)-multipliers on MB-algebras ⋮ Approximation of derivations and the superstability in random Banach \(\ast\)-algebras ⋮ Approximation of an additive \(\left(\varrho_1, \varrho_2\right)\)-random operator inequality ⋮ Stochastic Lie bracket (derivation, derivation) in MB-algebras

Cites Work

• Nonlinear \(\mathcal L\)-random stability of an ACQ functional equation
• On the relationship between some extensions of fuzzy set theory
• Comments on the core of the direct method for proving Hyers-Ulam stability of functional equations
• Stability of functional equations in random normed spaces
• The Hyers–Ulam–Aoki Type Stability of Some Functional Equations on Banach Lattices
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
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