Approximation of an additive \(\left(\varrho_1, \varrho_2\right)\)-random operator inequality

DOI10.1155/2020/7540303zbMath1435.39005OpenAlexW3007882834MaRDI QIDQ2305193

Sun Young Jang, Reza Saadati

Publication date: 10 March 2020

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/7540303

zbMATH Keywords

Hyers-Ulam stabilityadditive functional inequalityadditive random operatorMenger normed 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) Functional inequalities, including subadditivity, convexity, etc. (39B62) Operator theory in probabilistic metric linear spaces (47S50)

Related Items (7)

Bi-additive \(\sigma \)-random operator inequalities and random quasi-\(*\)-multipliers on MB-algebras ⋮ Best approximation of \((\mathcal{G}_1,\mathcal{G}_2)\)-random operator inequality in matrix Menger Banach algebras with application of stochastic Mittag-Leffler and \(\mathbb{H} \)-Fox control functions ⋮ Fuzzy approximate \(m\)-mappings in quasi fuzzy normed spaces ⋮ Nearly general septic functional equation ⋮ Stochastic Lie bracket (derivation, derivation) in MB-algebras ⋮ Best approximation of \(\kappa \)-random operator inequalities in matrix MB-algebras ⋮ \(C^\ast\)-algebra valued fuzzy normed spaces with application of Hyers-Ulam stability of a random integral equation

Cites Work

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• Stability of a composite functional equation related to idempotent mappings
• A fixed point approach to the stability of a mean value type functional equation
• Nonlinear stability of \(\rho\)-functional equations in latticetic random Banach lattice spaces
• Additive \(s\)-functional inequality and Hom-derivations in Banach algebras
• Approximation of derivations and the superstability in random Banach \(\ast\)-algebras
• Perturbation of generalized derivations in fuzzy Menger normed algebras
• A fixed point theorem in \(n\)-Banach spaces and Ulam stability
• Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
• Bi-additive \(s\)-functional inequalities and quasi-multipliers on Banach algebras
• On the functional equation \(x+f(y+f(x))=y+f(x+f(y))\). II
• Approximation of the multiplicatives on random multi-normed space
• On the stability of an affine functional equation
• Stability of cubic and quartic rho-functional inequalities in fuzzy normed spaces
• On fuzzy normed algebras
• Generalization of Khan fixed point theorem
• Fixed point results for multivalued mappings on a sequence in a closed ball with applications
• Jessen type functionals and exponential convexity
• The stability of an additive (ρ_1, ρ_2)-functional inequality in Banach spaces
• Superstability of Kannappan's and Van vleck's functional equations
• Ulam-Hyers stability of fractional impulsive differential equations

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