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Full Description
The book aims to present several new results concerning solution and various stabilities of some functional equations in various spaces. The chapters consider various spaces to investigate stabilities justifying that stability results hold well in those spaces. It also includes results proving new insight to analyze approximate solutions to a given equation whenever uncertainty occurs. The presentation of the book should be useful for graduated students and researchers interested in the theory of functional equations to understand the useful ideas involved and problems to study further.
Contents
Functional Equations.- Additive Functional Equations.- Additive Functional Equations in Banach Algebras.- n-Dimensional Additive Functional Equations in Random 2-Normed Spaces.- Quadratic Functional Equations.- Quadratic Functional Equations in Banach Algebras. n-Dimensional Quadratic Functional Equations in Generalized 2-Normed Spaces.- Additive-quadratic Functional Equations.