Ebook: Nonlinear Analysis: Stability, Approximation, and Inequalities

The volume will consist of about 40 articles written by some very influential mathematicians of our time and will expose the latest achievements in the broad area of nonlinear analysis and its various interdisciplinary applications.

Nonlinear Analysis: Stability, Approximation, and Inequalities presents some of the most recent results in the field of nonlinear analysis. Dedicated to Themistocles M. Rassias on the occasion of his 60th birthday, this volume contains 44 articles on various developments in the field, pertaining to subjects such as the stability of functional equations, variational systems, geometric analysis, analytic inequalities, approximation theory and optimization, as well as their applications. Many of the chapters are related to the seminal contributions of Th. M. Rassias and are based upon his initial findings.

This book is well suited to researchers working in nonlinear analysis and approximation theory, differential equations, variational analysis, optimization and their applications, and also to mathematically oriented engineers. It can be used as a valuable source of supplementary material for graduate research and course work.

Nonlinear Analysis: Stability, Approximation, and Inequalities presents some of the most recent results in the field of nonlinear analysis. Dedicated to Themistocles M. Rassias on the occasion of his 60th birthday, this volume contains 44 articles on various developments in the field, pertaining to subjects such as the stability of functional equations, variational systems, geometric analysis, analytic inequalities, approximation theory and optimization, as well as their applications. Many of the chapters are related to the seminal contributions of Th. M. Rassias and are based upon his initial findings.

This book is well suited to researchers working in nonlinear analysis and approximation theory, differential equations, variational analysis, optimization and their applications, and also to mathematically oriented engineers. It can be used as a valuable source of supplementary material for graduate research and course work.

Content:
Front Matter....Pages I-XXIX
Bounds of Jensen’s Type Inequality and Eigenvalues of Sturm–Liouville System....Pages 1-11
Quadratic Operators and Quadratic Functional Equation....Pages 13-37
On the Regions Containing All the Zeros of a Polynomial....Pages 39-55
Some Remarks on the Group of Isometries of a Metric Space....Pages 57-64
Rationality of the Moduli Space of Stable Pairs over a Complex Curve....Pages 65-77
Generalized p-Valent Janowski Close-to-Convex Functions and Their Applications to the Harmonic Mappings....Pages 79-89
Remarks on Stability of the Linear Functional Equation in Single Variable....Pages 91-119
On a Curious q-Hypergeometric Identity....Pages 121-126
Jensen and Quadratic Functional Equations on Semigroups....Pages 127-145
On Bohr’s Inequalities....Pages 147-160
Orlicz Norm Inequalities for Conjugate Harmonic Forms....Pages 161-176
A Survey on Jessen’s Type Inequalities for Positive Functionals....Pages 177-232
Fixed Point Approach to the Stability of the Quadratic Functional Equation....Pages 233-258
Bohr’s Inequality Revisited....Pages 259-277
Hyers–Ulam–Rassias Stability of Orthogonal Additive Mappings....Pages 279-290
Approximate Ternary Jordan Homomorphisms on Banach Ternary Algebras....Pages 291-303
Approximately Cubic n-Derivations on Non-archimedean Banach Algebras....Pages 305-315
Fuzzy Stability of a Quadratic-Additive Type Functional Equation....Pages 317-328
Generalized Hyers–Ulam Stability of Cauchy–Jensen Functional Equations....Pages 329-342
Fixed Point Approach to the Stability of the Gamma Functional Equation....Pages 343-352
Random Stability of an AQCQ Functional Equation: A Fixed Point Approach....Pages 353-361
Basis Sets in Banach Spaces....Pages 363-380
Inequalities for Trigonometric Sums....Pages 381-386
On Vandiver’s Best Result on FLT1....Pages 387-416
Multiple Orthogonality and Applications in Numerical Integration....Pages 417-430
The Fu??k Spectrum for the Negative p-Laplacian with Different Boundary Conditions....Pages 431-455
Korovkin Type Approximation Theorem for Almost and Statistical Convergence....Pages 457-470
On the Stability of an Additive Mapping....Pages 471-485
Existence Results for Extended General Nonconvex Quasi-variational Inequalities....Pages 487-494
Iterative Projection Methods for Solving Systems of General Nonconvex Variational Inequalities....Pages 495-501
On the Asymptotic Behavior of Solutions to General Linear Functional Equations....Pages 503-512
On the Stability of an Additive and Quadratic Functional Equation....Pages 513-523
Classification and Stability of Functional Equations....Pages 525-537
Exotic n-D’Alembert PDEs and Stability....Pages 539-549
Stability of Affine Approximations on Bounded Domains....Pages 551-569
Some Inequalities and Other Results Associated with Certain Subclasses of Univalent and Bi-Univalent Analytic Functions....Pages 571-585
The Hyers–Ulam and Hahn–Banach Theorems and Some Elementary Operations on Relations Motivated by Their Set-Valued Generalizations....Pages 587-606
Spectral Analysis and Spectral Synthesis....Pages 607-630
M?bius Transformation and Einstein Velocity Addition in the Hyperbolic Geometry of Bolyai and Lobachevsky....Pages 631-705
Hilbert-Type Integral Operators: Norms and Inequalities....Pages 707-719
On the Stability of the Pexiderized Sine Functional Equation....Pages 721-770
Stability of Additive-Quadratic Functional Equations in Intuitionistic Fuzzy Normed Spaces....Pages 771-859
....Pages 861-873