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Generalized Convexity and Related Topics

  • Conference proceedings
  • © 2006

Overview

Authors:
  1. Igor V. Konnov

    1. Department of Applied Mathematics, Kazan University, Kazan, Russia

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  2. Dinh The Luc

    1. Department de Mathematiques, Avignon, France

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    You can also search for this author in PubMed   Google Scholar

  3. Alexander M. Rubinov

    1. SITMS, University of Ballarat, Australia

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Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 583)

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Table of contents (27 papers)

  1. Front Matter

    Pages I-IX
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  2. Invited Papers

    1. Front Matter

      Pages 1-1
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    2. Combined Relaxation Methods for Generalized Monotone Variational Inequalities

      • Igor V. Konnov
      Pages 3-31

    3. Abstract Convexity and the Monge-Kantorovich Duality

      • Vladimir L. Levin
      Pages 33-72

    4. Optimality Conditions and Duality for Multiobjective Programming Involving (C, α, ρ, d) type-I Functions

      • Dehui Yuan, Altannar Chinchuluun, Xiaoling Liu, Panos M. Pardalos
      Pages 73-87

  3. Contributed Papers

    1. Front Matter

      Pages 89-89
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    2. Partitionable Variational Inequalities with Multi-valued Mappings

      • Elisabetta Allevi, Adriana Gnudi, Igor V. Konnov
      Pages 91-100

    3. Almost Convex Functions: Conjugacy and Duality

      • Radu Ioan Boţ, Sorin-Mihai Grad, Gert Wanka
      Pages 101-114

    4. Pseudomonotonicity of a Linear Map on the Interior of the Positive Orthant

      • Alberto Cambini, Laura Martein
      Pages 115-131

    5. An Approach to Discrete Convexity and Its Use in an Optimal Fleet Mix Problem

      • Riccardo Cambini, Rossana Riccardi1, Ümit Yüceer
      Pages 133-148

    6. A Unifying Approach to Solve a Class of Parametrically-Convexifiable Problems

      • Riccardo Cambini, Claudio Sodini
      Pages 149-166

    7. Mathematical Programming with (Φ, ρ)-invexity

      • Giuseppe Caristi, Massimiliano Ferrara, Anton Stefanescu
      Pages 167-176

    8. Some Classes of Pseudoconvex Fractional Functions via the Charnes-Cooper Transformation

      • Laura Carosi, Laura Martein
      Pages 177-188

    9. Equilibrium Problems Via the Palais-Smale Condition

      • Ouayl Chadli, Zaki Chbani, Hassan Riahi
      Pages 189-207

    10. Points of Efficiency in Vector Optimization with Increasing-along-rays Property and Minty Variational Inequalities

      • Giovanni P. Crespi, Ivan Ginchev, Matteo Rocca
      Pages 209-226

    11. Higher Order Properly Efficient Points in Vector Optimization

      • Ivan Ginchev, Angelo Guerraggio, Matteo Rocca
      Pages 227-245

    12. Higher-order Pseudoconvex Functions

      • Ivan Ginchev, Vsevolod I. Ivanov
      Pages 247-264

    13. Sufficient Optimality Conditions and Duality in Nonsmooth Multiobjective Optimization Problems under Generalized Convexity

      • Giorgio Giorgi, Bienvenido Jiménez, Vicente Novo
      Pages 265-278

    14. Optimality Conditions for Tanaka’s Approximate Solutions in Vector Optimization

      • César Gutiérrez, Bienvenido Jiménez, Vicente Novo
      Pages 279-295

    15. On the Work of W. Oettli in Generalized Convexity and Nonconvex Optimization — a Review and Some Perspectives

      • Joachim Gwinner
      Pages 297-314
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Keywords

Authors and Affiliations

  • Department of Applied Mathematics, Kazan University, Kazan, Russia

    Igor V. Konnov

  • Department de Mathematiques, Avignon, France

    Dinh The Luc

  • SITMS, University of Ballarat, Australia

    Alexander M. Rubinov

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