Nonlinear Analysis and Variational Problems

In Honor of George Isac

  • Panos M. Pardalos
  • Themistocles M. Rassias
  • Akhtar A. Khan

Part of the Springer Optimization and Its Applications book series (SOIA, volume 35)

Table of contents

  1. Front Matter
    Pages i-xxvi
  2. Nonlinear Analysis

    1. Front Matter
      Pages 1-1
    2. Octavian Agratini, Tudor Andrica
      Pages 3-12
    3. Corneliu Constantinescu
      Pages 37-52
    4. M. Eshaghi-Gordji, S. Kaboli-Gharetapeh, M.S. Moslehian, S. Zolfaghari
      Pages 65-80
    5. P. Găvruţa, L. Găvruţa
      Pages 81-86
    6. Soon-Mo Jung, Themistocles M. Rassias
      Pages 99-109
    7. Choonkil Park, Themistocles M. Rassias
      Pages 125-134
    8. Mihai Turinici
      Pages 153-197
  3. Variational Problems

    1. Front Matter
      Pages 199-199
    2. Mircea Balaj, Donal O’Regan
      Pages 201-211
    3. Patrizia Daniele, Sofia Giuffré, Antonino Maugeri, Stephane Pia
      Pages 235-258

About this book

Introduction

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.

Keywords

Complementarity problems Derivative Eigenvalue Fixed Point Theory Optimal control Pareto optimization SOIA calculus logarithm

Editors and affiliations

  • Panos M. Pardalos
    • 1
  • Themistocles M. Rassias
    • 2
  • Akhtar A. Khan
    • 3
  1. 1.Dept. Industrial & Systems, EngineeringUniversity of FloridaGainesvilleUSA
  2. 2.AthensGreece
  3. 3.School of Mathematical SciencesRochester Institute of TechnologyRochesterUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-0158-3
  • Copyright Information Springer Science+Business Media, LLC 2010
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4419-0157-6
  • Online ISBN 978-1-4419-0158-3
  • Series Print ISSN 1931-6828
  • About this book