Skip to main content
SpringerLink
Log in
Book cover

Nonlinear Analysis and Variational Problems

In Honor of George Isac

  • Book
  • © 2010

Overview

Editors:
  1. Panos M. Pardalos

    1. Dept. Industrial & Systems, Engineering, University of Florida, Gainesville, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Themistocles M. Rassias

    1. Athens, Greece

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Akhtar A. Khan

    1. School of Mathematical Sciences, Rochester Institute of Technology, Rochester, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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
  • Includes supplementary material: sn.pub/extras

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (29 chapters)

  1. Front Matter

    Pages i-xxvi
    Download chapter PDF

  2. Nonlinear Analysis

    1. Front Matter

      Pages 1-1
      Download chapter PDF

  3. Part I Nonlinear Analysis

    1. Discrete Approximation Processes of King’s Type

      • Octavian Agratini, Tudor Andrica
      Pages 3-12

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

      • Maryam Amyari, Ghadir Sadeghi
      Pages 13-22

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

      • Liviu Cădariu, Viorel Radu
      Pages 23-36

    4. A Remark on W*-Tensor Products of W*-Algebras

      • Corneliu Constantinescu
      Pages 37-52

    5. The Perturbed Median Principle for Integral Inequalities with Applications

      • S. S. Dragomir
      Pages 53-63

    6. Stability of a Mixed Type Additive, Quadratic, Cubic and Quartic Functional Equation

      • M. Eshaghi-Gordji, S. Kaboli-Gharetapeh, M.S. Moslehian, S. Zolfaghari
      Pages 65-80

    7. Ψ-Aditive Mappings and Hyers–Ulam Stability

      • P. GăvruÅ£a, L. GăvruÅ£a
      Pages 81-86

    8. The Stability and Asymptotic Behavior of Quadratic Mappings on Restricted Domains

      • Kil-Woung Jun, Hark-Mahn Kim
      Pages 87-97

    9. A Fixed Point Approach to the Stability of a Logarithmic Functional Equation

      • Soon-Mo Jung, Themistocles M. Rassias
      Pages 99-109

    10. Fixed Points and Stability of the Cauchy Functional Equation in Lie C *-Algebras

      • Choonkil Park, Jianlian Cui
      Pages 111-124

    11. Fixed Points and Stability of Functional Equations

      • Choonkil Park, Themistocles M. Rassias
      Pages 125-134

    12. Compression–Expansion Critical Point Theorems in Conical Shells

      • Radu Precup
      Pages 135-145

    13. Gronwall Lemma Approach to the Hyers–Ulam–Rassias Stability of an Integral Equation

      • Ioan A. Rus
      Pages 147-152

    14. Brezis-Browder Principles and Applications

      • Mihai Turinici
      Pages 153-197

  4. Variational Problems

    1. Front Matter

      Pages 199-199
      Download chapter PDF

  5. Part II Variational Problems

    1. A Generalized Quasi-Equilibrium Problem

      • Mircea Balaj, Donal O’Regan
      Pages 201-211

    2. Double-Layer and Hybrid Dynamics of Equilibrium Problems: Applications to Markets of Environmental Products

      • M. Cojocaru, S. Hawkins, H. Thille, E. Thommes
      Pages 213-234

    3. A Panoramic View on Projected Dynamical Systems

      • Patrizia Daniele, Sofia Giuffré, Antonino Maugeri, Stephane Pia
      Pages 235-258
Back to top

Keywords

About this book

The papers published in this volume focus on some of the most recent devel- ments in complementarity theory, variational principles, stability theory of fu- tional equations, nonsmooth optimization, and various other important topics of nonlinear analysis and optimization. This volume was initially planned to celebrate Professor George Isac’s 70th birthday by bringing together research scientists from mathematical domains which have long bene ted from Isac’s active research passion. Unfortunately, George Isac passed away in February 2009 at the age of 69. George Isac received his Ph. D. in 1973 from the Institute of Mathematics of the Romanian Academy of Sciences. He made outstanding contributions in s- eral branches of pure and applied mathematics, including complementarity theory, variational inequalities, xed point theory, scalar and vector optimization, theory of cones, eigenvalue problems, convex analysis, variational principles and regulari- tion methods, as well as a number of other topics. In his long and outstanding career, he wrote more than 200 papers and 13 books. Professor Isac was an avid traveler who visited more than 70 universities around the globe and delivered approximately 180 research presentations. He also authored seven books on poetry. During his s- enti c career he collaborated with numerous mathematicians. His research papers contain very deep, original and beautiful results. Through his signi cant contri- tions, he earned a distinguished position and became an internationally renowned leading scholar in his research elds.

Editors and Affiliations

  • Dept. Industrial & Systems, Engineering, University of Florida, Gainesville, USA

    Panos M. Pardalos

  • Athens, Greece

    Themistocles M. Rassias

  • School of Mathematical Sciences, Rochester Institute of Technology, Rochester, USA

    Akhtar A. Khan

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation