Springer Optimization and Its Applications

Nonlinear Analysis and Variational Problems

In Honor of George Isac

Editors: Pardalos, Panos M., Rassias, Themistocles, Khan, Akhtar A. (Eds.)

  • Contains 25 research papers with a limited number of survey papers by leading mathematicians in some important areas of nonlinear analysis and variational problems
  • Presents recent developments in complementarity theory, variational problems, stability theory of functional equations, and various other topics of nonlinear analysis and optimization
  • Includes properties of nuclear cones and variational principles
  • Appeals to a broad audience of graduate students, researchers, and practitioners in the fields of pure and applied mathematics, social sciences, economics, operations research, engineering, and other related sciences
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eBook $179.00
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  • ISBN 978-1-4419-0158-3
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase
Hardcover $229.00
price for USA
  • ISBN 978-1-4419-0157-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $229.00
price for USA
  • ISBN 978-1-4614-2481-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

The chapters in this volume, written by international experts from different fields of mathematics, are devoted to honoring George Isac, a renowned mathematician. These contributions focus on recent developments in complementarity theory, variational principles, stability theory of functional equations, nonsmooth optimization, and several other important topics at the forefront of nonlinear analysis and optimization.

 

"Nonlinear Analysis and Variational Problems" is organized into two parts. Part I, Nonlinear Analysis, centers on stability issues for functional equations, fixed point theorems, critical point theorems, W*-algebras, the Brezis–Browder principle, and related topics. Part II, Variational Problems, addresses several important aspects of optimization and variational methods. This includes equilibrium problems, projected dynamical system, set-valued and set-semidefinite optimization, variational inequalities, variational principles, complementarity problems, and problems in optimal control.

 

In the last few decades, the theory of complementarity, functional stability and variational principles have provided a unified framework for dealing with a wide range of problems in diverse branches of pure and applied mathematics, such as finance, operations research, economics, network analysis, control theory, biology, and others. This volume is well-suited to graduate students as well as researchers and practitioners in the fields of pure and applied mathematics, social sciences, economics, operations research, engineering, and related sciences.

Table of contents (29 chapters)

  • Discrete Approximation Processes of King’s Type

    Agratini, Octavian (et al.)

    Pages 3-12

  • Isometrics in Non-Archimedean Strictly Convex and Strictly 2-Convex 2-Normed Spaces

    Amyari, Maryam (et al.)

    Pages 13-22

  • Fixed Points and Generalized Stability for ψ-Additive Mappings of Isac-Rassias Type

    Cădariu, Liviu (et al.)

    Pages 23-36

  • A Remark on W*-Tensor Products of W*-Algebras

    Constantinescu, Corneliu

    Pages 37-52

  • The Perturbed Median Principle for Integral Inequalities with Applications

    Dragomir, S. S.

    Pages 53-63

Buy this book

eBook $179.00
price for USA (gross)
  • ISBN 978-1-4419-0158-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $229.00
price for USA
  • ISBN 978-1-4419-0157-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $229.00
price for USA
  • ISBN 978-1-4614-2481-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Analysis and Variational Problems
Book Subtitle
In Honor of George Isac
Editors
  • Panos M. Pardalos
  • Themistocles Rassias
  • Akhtar A. Khan
Series Title
Springer Optimization and Its Applications
Series Volume
35
Copyright
2010
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-1-4419-0158-3
DOI
10.1007/978-1-4419-0158-3
Hardcover ISBN
978-1-4419-0157-6
Softcover ISBN
978-1-4614-2481-9
Series ISSN
1931-6828
Edition Number
1
Number of Pages
XXVII, 490
Number of Illustrations and Tables
13 b/w illustrations
Topics