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  • Conference proceedings
  • © 2005

Generalized Convexity, Generalized Monotonicity and Applications

Proceedings of the 7th International Symposium on Generalized Convexity and Generalized Monotonicity

Editors:

  1. Andrew Eberhard

    1. RMIT University, Australia

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  2. Nicolas Hadjisavvas

    1. University of the Aegean, Greece

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    You can also search for this editor in PubMed   Google Scholar

  3. Dinh The Luc

    1. University of Avignon, France

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  • Based on talks presented at the 7th International Symposium on generalized convexity and generalized monotonicity

  • Includes supplementary material: sn.pub/extras

Part of the book series: Nonconvex Optimization and Its Applications (NOIA, volume 77)

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  • ISBN: 978-0-387-23639-1
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Table of contents (20 papers)

  1. Front Matter

    Pages i-x
    PDF

  2. Invited Papers

    1. Front Matter

      Pages 1-1
      PDF

    2. Algebraic Dynamics of Certain Gamma Function Values

      • J. M. Borwein, K. Karamanos
      Pages 3-21

  3. Contributed Papers

    1. Front Matter

      Pages 87-87
      PDF

    4. Duality in Multiobjective Optimization Problems with Set Constraints

      • Riccardo Cambini, Laura Carosi
      Pages 131-146

    5. Duality in Fractional Programming Problems with Set Constraints

      • Riccardo Cambini, Laura Carosi, Siegfried Schaible
      Pages 147-159

    6. On the Pseudoconvexity of the Sum of Two Linear Fractional Functions

      • Alberto Cambini, Laura Martein, Siegfried Schaible
      Pages 161-172

    7. Bonnesen-Type Inequalities and Applications

      • A. Raouf Chouikha
      Pages 173-181

    8. Characterizing Invex and Related Properties

      • B. D. Craven
      Pages 183-191

    9. Minty Variational Inequality and Optimization: Scalar and Vector Case

      • Giovanni P. Crespi, Angelo Guerraggio, Matteo Rocca
      Pages 193-211

    10. Second Order Optimality Conditions for Nonsmooth Multiobjective Optimization Problems

      • Giovanni P. Crespi, Davide La Torre, Matteo Rocca
      Pages 213-228

    11. Second Order Subdifferentials Constructed Using Integral Convolutions Smoothing

      • Andrew Eberhard, Michael Nyblom, Rajalingam Sivakumaran
      Pages 229-261

    13. ε-Optimality for Nonsmooth Programming on a Hilbert Space

      • Misha G. Govil, Aparna Mehra
      Pages 287-297

    14. Identification of Hidden Convex Minimization Problems

      • Duan Li, Zhiyou Wu, Heung Wing Joseph Lee, Xinmin Yang, Liansheng Zhang
      Pages 299-309
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About this book

In recent years there is a growing interest in generalized convex fu- tions and generalized monotone mappings among the researchers of - plied mathematics and other sciences. This is due to the fact that mathematical models with these functions are more suitable to describe problems of the real world than models using conventional convex and monotone functions. Generalized convexity and monotonicity are now considered as an independent branch of applied mathematics with a wide range of applications in mechanics, economics, engineering, finance and many others. The present volume contains 20 full length papers which reflect c- rent theoretical studies of generalized convexity and monotonicity, and numerous applications in optimization, variational inequalities, equil- rium problems etc. All these papers were refereed and carefully selected from invited talks and contributed talks that were presented at the 7th International Symposium on Generalized Convexity/Monotonicity held in Hanoi, Vietnam, August 27-31, 2002. This series of Symposia is or- nized by the Working Group on Generalized Convexity (WGGC) every 3 years and aims to promote and disseminate research on the field. The WGGC (http://www.genconv.org) consists of more than 300 researchers coming from 36 countries.
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Keywords

  • Convexity
  • Hilbert space
  • algorithms
  • game theory
  • global optimization
  • multi-objective optimization
  • operations research
  • optimization
  • scheduling
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Editors and Affiliations

  • RMIT University, Australia

    Andrew Eberhard

  • University of the Aegean, Greece

    Nicolas Hadjisavvas

  • University of Avignon, France

    Dinh The Luc

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Bibliographic Information

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Access via your institution
eBook USD 169.00
Price excludes VAT (USA)
  • ISBN: 978-0-387-23639-1
  • 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 219.99
Price excludes VAT (USA)
Hardcover Book USD 219.99
Price excludes VAT (USA)
Learn about institutional subscriptions