Stability of Some Advanced Functional Equations in Various Spaces (Studies in Systems, Decision and Control, 479)

Preface
Contents
About the Authors
1 Functional Equations
	1.1 Fundamentals of Functional Equation
	1.2 Definition of Functional Equations
	1.3 Solution of Functional Equations
	1.4 Applications of Functional Equations
	1.5 Stability of Functional Equations
	1.6 Fixed Point Theory on Stability of Functional Equations
2 Additive Functional Equations
	2.1 Additive Functional Equation
	2.2 General Solution of Additive Functional Equation
	2.3 Additive Functional Equation: Odd Case–Direct Method
	2.4 Functional Equation: Odd Case—Fixed Point Method
	2.5 Examples
3 Additive Functional Equations in Banach Algebras
	3.1 Banach Algebra—Additive Functional Equation
	3.2 Additive Functional Equation: Odd Case—Direct Method
	3.3 Additive Functional Equation: Odd Case—Fixed Point Method
4 n-Dimensional Additive Functional Equations in Random 2-Normed Spaces
	4.1 n-Dimensional Additive Functional Equation
	4.2 Solutions of n-Dimensional Additive Functional Equation
	4.3 n-Dimensional Additive Functional Equation—Direct Method
	4.4 n-Dimensional Additive Functional Equation—Fixed Point Method
5 Quadratic Functional Equations
	5.1 Quadratic Functional Equation
	5.2 General Solution of Quadratic Functional Equation
	5.3 Quadratic Functional Equation: Even Case—Direct Method
	5.4 Stability Quadratic Functional Equation: Even Case—Fixed Point Method
	5.5 Applications
6 Quadratic Functional Equations  in Banach Algebras
	6.1 Banach Algebra—Quadratic Functional Equation
	6.2 Quadratic Functional Equation: Even Case—Direct Method
	6.3 Quadratic Functional Equation: Even Case—Fixed Point Method
7 n-Dimensional Quadratic Functional Equations in Generalized 2-Normed Spaces
	7.1 n-Dimensional Quadratic Functional Equation
	7.2 Solution of n-Dimensional Quadratic Functional Equation
8 Additive-Quadratic Functional Equations
	8.1 Additive Quadratic Functional Equation
	8.2 Additive Quadratic Functional Equation: Mixed Case—Direct Method
	8.3 Additive Quadratic Functional Equation: Mixed Case—Fixed Point Method
9 Additive-Quadratic Functional Equations in Banach Algebras
	9.1 Banach Algebra—Additive Quadratic Functional Equation
	9.2 Additive Quadratic Functional Equation: Mixed Case—Direct Method
	9.3 Additive Quadratic Functional Equation: Mixed Case—Fixed Point Method
10 3-Dimensional Cubic Functional Equations
	10.1 3-Dimensional Cubic Functional Equation
	10.2 General Solution of 3-Dimensional Cubic Functional Equation
	10.3 3-Dimensional Cubic Functional Equation—Direct Method
	10.4 3-Dimensional Cubic Functional Equation—Fixed Point Method
	10.5 Stability of 3-Dimensional Cubic Functional Equation—Direct Method
	10.6 Stability of 3-Dimensional Cubic Functional Equation—Fixed Point Method
	10.7 Examples
11 4-Dimensional Cubic Functional Equations
	11.1 4-Dimensional Cubic Functional Equation
	11.2 Solution of 4-Dimensional Cubic Functional Equation
	11.3 4-Dimensional Cubic Functional Equation—Direct Method
	11.4 4-Dimensional Cubic Functional Equation—Fixed Point Method
	11.5 Stability of 4-Dimensional Cubic Functional Equation—Direct Method
	11.6 Stability of the 4-Dimensional Cubic Functional Equation—Fixed Point Method
12 n-Type Cubic Functional Equations
	12.1 General Solution the Functional Equation
	12.2 Solution of Cubic Functional Equation
	12.3 Cubic Functional Equation-Direct Method
	12.4 Cubic Functional Equation—Fixed Point Method
	12.5 Stability of the Cubic Functional Equation—Direct Method
	12.6 Stability of the Cubic Functional Equation—Fixed Point Method
13 Cubic Homomorphisms and Cubic Derivations
	13.1 Cubic Homomorphisms and Cubic Derivation
	13.2 General Solution of Cubic Functional Equation
	13.3 Cubic Homomorphisms in Quasi-Banach Algebras—Direct Method
	13.4 Cubic Homomorphisms in Quasi-Banach Algebras—Fixed Point Method
	13.5 Stability of Cubic Derivation Quasi-Banach Algebras—Direct Method
	13.6 Stability of Cubic Derivation Quasi-Banach Algebras—Fixed Point Method
Appendix  Bibliography