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  • © 2012

Nonlinear Analysis

Stability, Approximation, and Inequalities

  • 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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  • ISBN: 978-1-4614-3498-6
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Softcover Book USD 159.99
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Table of contents (44 chapters)

  1. Front Matter

    Pages I-XXIX
  2. On the Regions Containing All the Zeros of a Polynomial

    • Chadia Affane-Aji, N. K. Govil
    Pages 39-55
  3. Some Remarks on the Group of Isometries of a Metric Space

    • Dorin Andrica, Vasile Bulgarean
    Pages 57-64
  4. Rationality of the Moduli Space of Stable Pairs over a Complex Curve

    • Indranil Biswas, Marina Logares, Vicente Muñoz
    Pages 65-77
  5. Remarks on Stability of the Linear Functional Equation in Single Variable

    • Janusz Brzdȩk, Dorian Popa, Bing Xu
    Pages 91-119
  6. On a Curious q-Hypergeometric Identity

    • María José Cantero, Arieh Iserles
    Pages 121-126
  7. Jensen and Quadratic Functional Equations on Semigroups

    • Esteban A. Chávez, Prasanna K. Sahoo
    Pages 127-145
  8. On Bohr’s Inequalities

    • Wing-Sum Cheung, Gangsong Leng, Josip Pečarić, Dandan Zhao
    Pages 147-160
  9. Orlicz Norm Inequalities for Conjugate Harmonic Forms

    • Shusen Ding, Yuming Xing
    Pages 161-176
  10. Fixed Point Approach to the Stability of the Quadratic Functional Equation

    • Elqorachi Elhoucien, Manar Youssef
    Pages 259-277
  11. Bohr’s Inequality Revisited

    • Masatoshi Fujii, Mohammad Sal Moslehian, Jadranka Mićić
    Pages 279-290
  12. Hyers–Ulam–Rassias Stability of Orthogonal Additive Mappings

    • P. Găvruţa, L. Găvruţa
    Pages 291-303
  13. Approximate Ternary Jordan Homomorphisms on Banach Ternary Algebras

    • Madjid Eshaghi Gordji, N. Ghobadipour, A. Ebadian, M. Bavand Savadkouhi, Choonkil Park
    Pages 305-315
  14. Approximately Cubic n-Derivations on Non-archimedean Banach Algebras

    • F. Habibian, R. Bolghanabadi, M. Eshaghi Gordji
    Pages 317-328

About this book

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.

Keywords

  • Approximation Theory
  • Nonlinear Optimization
  • Stability Problems
  • Variational Inequalities

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

Bibliographic Information

Buying options

eBook USD 119.00
Price excludes VAT (USA)
  • ISBN: 978-1-4614-3498-6
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 159.99
Price excludes VAT (USA)
Hardcover Book USD 219.99
Price excludes VAT (USA)