Multiplicative Inverse Functional Equations: Theory and Applications: 289 (Studies in Systems, Decision and Control, 289)

Preface
Contents
About the Authors
1 Introduction to Functional Equations and Ulam Stability Theory
	1.1 Significance of Functional Equations
	1.2 Application of Functional Equation in Geometry
	1.3 Application of Functional Equation in Financial Management
	1.4 Application of Functional Equation in Information Theory
	1.5 Application of Functional Equation in Wireless Sensor Networks
	1.6 Interpretation of Multiplicative Inverse Functional Equations
		1.6.1 Geometrical Interpretation of Eq. (1.17)
		1.6.2 An Application of Eq. (1.17) to Resistances connected in parallel
	1.7 Relevance of RQD and RQA Functional Equations
	1.8 Ulam\'s Motivation Problem for Stability of Functional Equation
	1.9 Stability of Functional Equation Incorporated  with a Positive Constant (or H-U Stability)
	1.10 Stability of Functional Equation Incorporated with Sum of Exponents of Norms (or H-U-R Stability)
	1.11 Stability of Functional Equation Incorporated with Product of Exponents of Norms (or U-G-R Stability)
	1.12 Stability of Functional Equation Involving a General Control Function (or Generalized H-U-R Stability)
	1.13 Stability Involving Assorted Type  of Multiplication-Addition of Exponents  of Norms (or JMR Stability)
	1.14 Various Types of Functional Equations
2 Stability and Instability of Multiplicative Inverse Type Tredecic and Quottuordecic Functional Equations in Non-archimedean Spaces
	2.1 Introduction
	2.2 Preliminaries
	2.3 Fundamental Stabilities of Eqs. (2.1) and (2.2)
	2.4 Counter-Examples
3 Estimation of Inexact Multiplicative Inverse Type Quindecic and Sexdecic Functional Equations in Felbin\'s Type Fuzzy Normed Spaces
	3.1 Introduction
	3.2 Preliminaries
	3.3 Fuzzy Stabilities of Eqs.(3.1) and (3.2) via Fixed Point Method
	3.4 Counter-Examples
4 Classical Approximations  of Multiplicative Inverse Type Septendecic and Octadecic Functional Equations in Quasi-β-normed Spaces
	4.1 Introduction and Preliminaries
	4.2 Fundamental Stabilities of Eqs. (4.1) and (4.2)
	4.3 Counter-Examples
5 Ulam Stabilities of Multiplicative Inverse Type Novemdecic and Vigintic Functional Equations in Intuitionistic Fuzzy Normed Spaces
	5.1 Introduction
	5.2 Preliminaries
	5.3 Ulam Stabilities of Eqs. (5.1) and (5.2)
	5.4 Counter-Examples
6 Solution to the Ulam Stability Problem  of Multiplicative Inverse Type Unvigintic and Duovigintic Functional Equations  in Paranormed Spaces
	6.1 Introduction
	6.2 Preliminaries
	6.3 Stability of (6.1): Direct Method
	6.4 Stability of (6.2): Direct Method
	6.5 Stability of (6.1): Fixed Point Method
	6.6 Stability of (6.2): Fixed Point Method
	6.7 Counter-Examples
7 Inexact Solution of Multiplicative Inverse Type Trevigintic and Quottuorvigintic Functional Equations in Matrix Normed Spaces
	7.1 Introduction
	7.2 Stability of Eq. (7.1) in matrix normed spaces
	7.3 Stability of Eq. (7.2) in matrix normed spaces
	7.4 Counter-Examples
Appendix  References