Nonlinear Analysis

Edited by Panos M. Pardalos (), Pando G. Georgiev () and Hari M. Srivastava ()

in Springer Optimization and Its Applications from Springer, currently edited by Pardalos, Panos, Thai, My T. and Du, Ding-Zhu

Date: 2012
Edition: 2012
ISBN: 978-1-4614-3498-6
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Chapters in this book:

Ch Chapter 1 Bounds of Jensen’s Type Inequality and Eigenvalues of Sturm–Liouville System

Shoshana Abramovich

Ch Chapter 10 On Bohr’s Inequalities

Wing-Sum Cheung, Gangsong Leng, Josip Pečarić and Dandan Zhao

Ch Chapter 11 Orlicz Norm Inequalities for Conjugate Harmonic Forms

Shusen Ding and Yuming Xing

Ch Chapter 12 A Survey on Jessen’s Type Inequalities for Positive Functionals

S. S. Dragomir

Ch Chapter 13 On Approximate Bi-quadratic Bi-homomorphisms and Bi-quadratic Bi-derivations in C ∗-Ternary Algebras and Quasi-Banach Algebras

Ali Ebadian and Norouz Ghobadipour

Ch Chapter 14 Fixed Point Approach to the Stability of the Quadratic Functional Equation

Elqorachi Elhoucien and Manar Youssef

Ch Chapter 15 Bohr’s Inequality Revisited

Masatoshi Fujii, Mohammad Sal Moslehian and Jadranka Mićić

Ch Chapter 16 Hyers–Ulam–Rassias Stability of Orthogonal Additive Mappings

P. Găvruţa and L. Găvruţa

Ch Chapter 17 Approximate Ternary Jordan Homomorphisms on Banach Ternary Algebras

Madjid Eshaghi Gordji, N. Ghobadipour, A. Ebadian, M. Bavand Savadkouhi and Choonkil Park

Ch Chapter 18 Approximately Cubic n-Derivations on Non-archimedean Banach Algebras

F. Habibian, R. Bolghanabadi and M. Eshaghi Gordji

Ch Chapter 19 Fuzzy Stability of a Quadratic-Additive Type Functional Equation

Sun-Sook Jin and Yang-Hi Lee

Ch Chapter 2 Quadratic Operators and Quadratic Functional Equation

M. Adam and S. Czerwik

Ch Chapter 20 Generalized Hyers–Ulam Stability of Cauchy–Jensen Functional Equations

Kil-Woung Jun, Hark-Mahn Kim and Eun Young Son

Ch Chapter 21 Fixed Point Approach to the Stability of the Gamma Functional Equation

Soon-Mo Jung

Ch Chapter 22 Random Stability of an AQCQ Functional Equation: A Fixed Point Approach

Hassan Azadi Kenary

Ch Chapter 23 Basis Sets in Banach Spaces

S. V. Konyagin and Y. V. Malykhin

Ch Chapter 24 Inequalities for Trigonometric Sums

Stamatis Koumandos

Ch Chapter 25 On Vandiver’s Best Result on FLT1

Preda Mihăilescu

Ch Chapter 26 Multiple Orthogonality and Applications in Numerical Integration

Gradimir V. Milovanović and Marija P. Stanić

Ch Chapter 27 Approximate C ∗-Algebra Homomorphisms Associated to an Apollonius–Jensen Type Additive Mapping; A Fixed Point Approach

Fridoun Moradlou and G. Zamani Eskandani

Ch Chapter 28 The Fučík Spectrum for the Negative p-Laplacian with Different Boundary Conditions

Dumitru Motreanu and Patrick Winkert

Ch Chapter 29 Korovkin Type Approximation Theorem for Almost and Statistical Convergence

M. Mursaleen and S. A. Mohiuddine

Ch Chapter 3 On the Regions Containing All the Zeros of a Polynomial

Chadia Affane-Aji and N. K. Govil

Ch Chapter 30 On the Stability of an Additive Mapping

Abbas Najati

Ch Chapter 31 Existence Results for Extended General Nonconvex Quasi-variational Inequalities

Muhammad Aslam Noor, Khalida Inayat Noor and Eisa Al-Said

Ch Chapter 32 Iterative Projection Methods for Solving Systems of General Nonconvex Variational Inequalities

Muhammad Aslam Noor, Khalida Inayat Noor and Eisa Al-Said

Ch Chapter 33 On the Asymptotic Behavior of Solutions to General Linear Functional Equations

B. Paneah

Ch Chapter 34 On the Stability of an Additive and Quadratic Functional Equation

Choonkil Park

Ch Chapter 35 Classification and Stability of Functional Equations

Choonkil Park, Madjid Eshaghi Gordji and Reza Saadati

Ch Chapter 36 Exotic n-D’Alembert PDEs and Stability

Agostino Prástaro

Ch Chapter 37 Stability of Affine Approximations on Bounded Domains

V. Y. Protasov

Ch Chapter 38 Some Inequalities and Other Results Associated with Certain Subclasses of Univalent and Bi-Univalent Analytic Functions

H. M. Srivastava

Ch Chapter 39 The Hyers–Ulam and Hahn–Banach Theorems and Some Elementary Operations on Relations Motivated by Their Set-Valued Generalizations

Árpád Száz

Ch Chapter 4 Some Remarks on the Group of Isometries of a Metric Space

Dorin Andrica and Vasile Bulgarean

Ch Chapter 40 Spectral Analysis and Spectral Synthesis

László Székelyhidi

Ch Chapter 41 Möbius Transformation and Einstein Velocity Addition in the Hyperbolic Geometry of Bolyai and Lobachevsky

Abraham Albert Ungar

Ch Chapter 42 Hilbert-Type Integral Operators: Norms and Inequalities

Bicheng Yang

Ch Chapter 43 On the Stability of the Pexiderized Sine Functional Equation

Xiaopeng Zhao and Xiuzhong Yang

Ch Chapter 44 Stability of Additive-Quadratic Functional Equations in Intuitionistic Fuzzy Normed Spaces

Zhihua Wang

Ch Chapter 5 Rationality of the Moduli Space of Stable Pairs over a Complex Curve

Indranil Biswas, Marina Logares and Vicente Muñoz

Ch Chapter 6 Generalized p-Valent Janowski Close-to-Convex Functions and Their Applications to the Harmonic Mappings

Daniel Breaz, Yasar Polatog̃lu and Nicoleta Breaz

Ch Chapter 7 Remarks on Stability of the Linear Functional Equation in Single Variable

Janusz Brzdȩk, Dorian Popa and Bing Xu

Ch Chapter 8 On a Curious q-Hypergeometric Identity

María José Cantero and Arieh Iserles

Ch Chapter 9 Jensen and Quadratic Functional Equations on Semigroups

Esteban A. Chávez and Prasanna K. Sahoo

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DOI: 10.1007/978-1-4614-3498-6

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