STABILITY OF THE GENERALIZED QUADRATIC AND QUARTIC TYPE FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN FUZZY NORMED SPACES

DOI10.11948/2016060zbMath1463.39068OpenAlexW2477304912MaRDI QIDQ5121373

Prasanna K. Sahoo, Zhi Hua Wang

Publication date: 14 September 2020

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2016060

zbMATH Keywords

fuzzy stabilitynon-Archimedean fuzzy normed spacefuzzy normquadratic and quartic type functional equation

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 (1)

Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• Quartic functional equations
• Fuzzy topological vector spaces. II
• Fuzzy versions of Hyers-Ulam-Rassias theorem
• Fuzzy stability of the Jensen functional equation
• Fuzzy approximately cubic mappings
• On the stability of a generalized quadratic and quartic type functional equation in quasi-Banach spaces
• Stability of additive mappings in non-archimedean fuzzy normed spaces
• The stability of homomorphisms and amenability, with applications to functional equations
• Finite dimensional fuzzy normed linear space
• Probabilistic norms for linear operators
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Fuzzy bounded linear operators
• Quadratic functional equation and inner product spaces
• Separation of fuzzy normed linear spaces
• Recent developments of the conditional stability of the homomorphism equation
• On set-valued nonlinear equations in Menger probabilistic normed spaces
• On the stability of the linear transformation in Banach spaces
• APPROXIMATELY ADDITIVE MAPPINGS IN NON-ARCHIMEDEAN NORMED SPACES
• Functional Equations and Inequalities with Applications
• Stability of functional equations in non-Archimedean spaces
• Strange Terrain--Nonarchimedean Spaces
• On the Stability of the Linear Mapping in Banach Spaces
• ON THE GENERAL SOLUTION OF A QUARTIC FUNCTIONAL EQUATION
• On fuzzy metric spaces
• Remarks on the stability of functional equations

This page was built for publication: STABILITY OF THE GENERALIZED QUADRATIC AND QUARTIC TYPE FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN FUZZY NORMED SPACES