Nonlinear Analysis: Stability, Approximation, and Inequalities

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
On Approximate Bi-quadratic Bi-homomorphisms and Bi-quadratic Bi-derivations in C ∗ -Ternary Algebras and Quasi-Banach Algebras....Pages 233-258
Fixed Point Approach to the Stability of the Quadratic Functional Equation....Pages 259-277
Bohr’s Inequality Revisited....Pages 279-290
Hyers–Ulam–Rassias Stability of Orthogonal Additive Mappings....Pages 291-303
Approximate Ternary Jordan Homomorphisms on Banach Ternary Algebras....Pages 305-315
Approximately Cubic n -Derivations on Non-archimedean Banach Algebras....Pages 317-328
Fuzzy Stability of a Quadratic-Additive Type Functional Equation....Pages 329-342
Generalized Hyers–Ulam Stability of Cauchy–Jensen Functional Equations....Pages 343-352
Fixed Point Approach to the Stability of the Gamma Functional Equation....Pages 353-361
Random Stability of an AQCQ Functional Equation: A Fixed Point Approach....Pages 363-380
Basis Sets in Banach Spaces....Pages 381-386
Inequalities for Trigonometric Sums....Pages 387-416
On Vandiver’s Best Result on FLT1....Pages 417-430
Multiple Orthogonality and Applications in Numerical Integration....Pages 431-455
Approximate C ∗ -Algebra Homomorphisms Associated to an Apollonius–Jensen Type Additive Mapping; A Fixed Point Approach....Pages 457-470
The Fučík Spectrum for the Negative p -Laplacian with Different Boundary Conditions....Pages 471-485
Korovkin Type Approximation Theorem for Almost and Statistical Convergence....Pages 487-494
On the Stability of an Additive Mapping....Pages 495-501
Existence Results for Extended General Nonconvex Quasi-variational Inequalities....Pages 503-512
Iterative Projection Methods for Solving Systems of General Nonconvex Variational Inequalities....Pages 513-523
On the Asymptotic Behavior of Solutions to General Linear Functional Equations....Pages 525-537
On the Stability of an Additive and Quadratic Functional Equation....Pages 539-549
Classification and Stability of Functional Equations....Pages 551-569
Exotic n -D’Alembert PDEs and Stability....Pages 571-585
Stability of Affine Approximations on Bounded Domains....Pages 587-606
Some Inequalities and Other Results Associated with Certain Subclasses of Univalent and Bi-Univalent Analytic Functions....Pages 607-630
The Hyers–Ulam and Hahn–Banach Theorems and Some Elementary Operations on Relations Motivated by Their Set-Valued Generalizations....Pages 631-705
Spectral Analysis and Spectral Synthesis....Pages 707-719
Möbius Transformation and Einstein Velocity Addition in the Hyperbolic Geometry of Bolyai and Lobachevsky....Pages 721-770
Hilbert-Type Integral Operators: Norms and Inequalities....Pages 771-859
On the Stability of the Pexiderized Sine Functional Equation....Pages 861-873
Stability of Additive-Quadratic Functional Equations in Intuitionistic Fuzzy Normed Spaces....Pages 875-893