Applications of Nonlinear Analysis

1. Front Matter

   Pages i-xvi

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2. New Applications of γ-Quasiconvexity

   • Shoshana Abramovich

   Pages 1-20

3. Criteria for Convergence of Iterates in a Compression-Expansion Fixed Point Theorem of Functional Type

   • Richard I. Avery, Douglas R. Anderson, Johnny Henderson

   Pages 21-35

4. On Lagrangian Duality in Infinite Dimension and Its Applications

   • Antonio Causa, Giandomenico Mastroeni, Fabio Raciti

   Pages 37-60

5. Stability Analysis of the Inverse Problem of Parameter Identification in Mixed Variational Problems

   • M. Cho, A. A. Khan, T. Malysheva, M. Sama, L. White

   Pages 61-100

6. Nonlinear Duality in Banach Spaces and Applications to Finance and Elasticity

   • G. Colajanni, Patrizia Daniele, Sofia Giuffrè, Antonino Maugeri

   Pages 101-139

7. Selective Priorities in Processing of Big Data

   • Nicholas J. Daras

   Pages 141-173

8. General Inertial Mann Algorithms and Their Convergence Analysis for Nonexpansive Mappings

   • Qiao-Li Dong, Yeol Je Cho, Themistocles M. Rassias

   Pages 175-191

9. Reverses of Jensen’s Integral Inequality and Applications: A Survey of Recent Results

   • Silvestru Sever Dragomir

   Pages 193-263

10. Ordering Structures and Their Applications

    • Gabriele Eichfelder, Maria Pilecka

    Pages 265-304

11. An Overview on Singular Nonlinear Elliptic Boundary Value Problems

    • Francesca Faraci, George Smyrlis

    Pages 305-334

12. The Pilgerschritt (Liedl) Transform on Manifolds

    • Wolfgang Förg-Rob

    Pages 335-353

13. On Some Mathematical Models Arising in Lubrication Theory

    • D. Goeleven, R. Oujja

    Pages 355-385

14. On the Spectrum of a Nonlinear Two Parameter Matrix Eigenvalue Problem

    • Michael Gil’

    Pages 387-402

15. On the Properties of a Nonlocal Nonlinear Schrödinger Model and Its Soliton Solutions

    • Theodoros P. Horikis, Dimitrios J. Frantzeskakis

    Pages 403-446

16. Stability of a Cauchy-Jensen Additive Mapping in Various Normed Spaces

    • Hassan Azadi Kenary, Choonkil Park, Themistocles M. Rassias, Jung Rye Lee

    Pages 447-482

17. NAN-RN Approximately Generalized Additive Functional Equations

    • Hassan Azadi Kenary, Themistocles M. Rassias

    Pages 483-506

18. On the HUR-Stability of Quadratic Functional Equations in Fuzzy Banach Spaces

    • Hassan Azadi Kenary, Themistocles M. Rassias

    Pages 507-522

19. Asymptotic Orbits in Hill’s Problem When the Larger Primary is a Source of Radiation

    • Vassilis S. Kalantonis, Angela E. Perdiou, Christos N. Douskos

    Pages 523-535

20. Computations for Minors of Weighing Matrices with Application to the Growth Problem

    • Christos D. Kravvaritis

    Pages 537-579

New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional equations, stability theory, approximation theory, inequalities, nonlinear functional analysis, and calculus of variations with applications to optimization theory.

Topics include:

• Fixed point theory
  
• Fixed-circle theory
  
• Coupled fixed points
  
• Nonlinear duality in Banach spaces
  
• Jensen's integral inequality and applications
  
• Nonlinear differential equations
  
• Nonlinear integro-differential equations
  
• Quasiconvexity, Stability of a Cauchy-Jensen additive mapping
  
• Generalizations of metric spaces
  
• Hilbert-type integral inequality, Solitons
  
• Quadratic functional equations in fuzzy Banach spaces
  
• Asymptotic orbits in Hill’sproblem
  
• Time-domain electromagnetics
  
• Inertial Mann algorithms
  
• Mathematical modelling
  
• Robotics

Graduate students and researchers will find this book helpful in comprehending current applications and developments in mathematical analysis. Research scientists and engineers studying essential modern methods and techniques to solve a variety of problems will find this book a valuable source filled with examples that illustrate concepts.

• Nonlinear Analysis
• stability of Ulam type
• applications of γ-quasiconvexity
• fixed point theorem
• mixed variational problems
• processing big data
• Jensen's integral inequality
• inertial Mann algorithms
• nonexpansive mappings
• Ordering structures
• The Pilgerschritt (Liedl) transform on manifolds
• lubrication theory
• mathematical models
• nonlinear two parameter matrix eigenvalue problem
• Cauchy-Jensen additive mapping
• fuzzy Banach spaces
• Weighing Matrices
• nonlinear integro-differential equations
• Hilbert-type integral inequality
• ordinary differential equations
• partial differential equations

• Department of Mathematics, National Technical University of Athens, Athens, Greece

  Themistocles M. Rassias

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