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Nonlinear Analysis

Stability, Approximation, and Inequalities

  • Book
  • © 2012

Overview

Editors:
  1. Panos M. Pardalos

    1. , Department of Industrial & Systems Engin, University of Florida, Gainesville, USA

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  2. Pando G. Georgiev

    1. Center for Applied Optimization, Dept. Industrial & Systems, University of Florida, Gainesville, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Hari M. Srivastava

    1. , Department of Mathematics & Statistics, University of Victoria, Victoria, Canada

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  • Presents some of the latest developments in the broad area of nonlinear analysis
  • Includes applications to concrete problems in areas related to the calculus of variations and stability theory including chaos theory, catastrophe theory, and game theory
  • A valuable source of supplementary material for graduate research and coursework in mathematical optimization
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Optimization and Its Applications (SOIA, volume 68)

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Table of contents (44 chapters)

  1. Generalized Hyers–Ulam Stability of Cauchy–Jensen Functional Equations

    • Kil-Woung Jun, Hark-Mahn Kim, Eun Young Son
    Pages 343-352

  2. Fixed Point Approach to the Stability of the Gamma Functional Equation

    • Soon-Mo Jung
    Pages 353-361

  3. Random Stability of an AQCQ Functional Equation: A Fixed Point Approach

    • Hassan Azadi Kenary
    Pages 363-380

  4. Basis Sets in Banach Spaces

    • S. V. Konyagin, Y. V. Malykhin
    Pages 381-386

  5. Inequalities for Trigonometric Sums

    • Stamatis Koumandos
    Pages 387-416

  6. On Vandiver’s Best Result on FLT1

    • Preda Mihăilescu
    Pages 417-430

  7. Multiple Orthogonality and Applications in Numerical Integration

    • Gradimir V. Milovanović, Marija P. Stanić
    Pages 431-455

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

    • Fridoun Moradlou, G. Zamani Eskandani
    Pages 457-470

  9. The Fučík Spectrum for the Negative p-Laplacian with Different Boundary Conditions

    • Dumitru Motreanu, Patrick Winkert
    Pages 471-485

  10. Korovkin Type Approximation Theorem for Almost and Statistical Convergence

    • M. Mursaleen, S. A. Mohiuddine
    Pages 487-494

  11. On the Stability of an Additive Mapping

    • Abbas Najati
    Pages 495-501

  12. Existence Results for Extended General Nonconvex Quasi-variational Inequalities

    • Muhammad Aslam Noor, Khalida Inayat Noor, Eisa Al-Said
    Pages 503-512

  13. Iterative Projection Methods for Solving Systems of General Nonconvex Variational Inequalities

    • Muhammad Aslam Noor, Khalida Inayat Noor, Eisa Al-Said
    Pages 513-523

  14. On the Asymptotic Behavior of Solutions to General Linear Functional Equations

    • B. Paneah
    Pages 525-537

  15. On the Stability of an Additive and Quadratic Functional Equation

    • Choonkil Park
    Pages 539-549

  16. Classification and Stability of Functional Equations

    • Choonkil Park, Madjid Eshaghi Gordji, Reza Saadati
    Pages 551-569

  17. Exotic n-D’Alembert PDEs and Stability

    • Agostino Prástaro
    Pages 571-585

  18. Stability of Affine Approximations on Bounded Domains

    • V. Y. Protasov
    Pages 587-606

  19. Some Inequalities and Other Results Associated with Certain Subclasses of Univalent and Bi-Univalent Analytic Functions

    • H. M. Srivastava
    Pages 607-630

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

    • Árpád Száz
    Pages 631-705
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About this book

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.

Editors and Affiliations

  • , Department of Industrial & Systems Engin, University of Florida, Gainesville, USA

    Panos M. Pardalos

  • Center for Applied Optimization, Dept. Industrial & Systems, University of Florida, Gainesville, USA

    Pando G. Georgiev

  • , Department of Mathematics & Statistics, University of Victoria, Victoria, Canada

    Hari M. Srivastava

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