Variational Inequalities and Network Equilibrium Problems

1. Front Matter

   Pages i-xii

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2. On a Separation Approach to Variational Inequalities

   • Antoni Carla

   Pages 1-7

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3. Traffic Scheduling in Telecommunication Systems and Network Flow

   • Maurizio A. Bonuccelli

   Pages 9-19

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4. On the Duality Theory for Finite Dimensional Variational Inequalities

   • Castellani Marco, Mastroeni Giandomenico

   Pages 21-31

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5. Some Properties of Periodic Solutions of Linear Control Systems via Quasi-Variational Inequalities

   • Cubiotti Paolo

   Pages 33-44

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6. Generalized Quasi-Variational Inequalities and Traffic Equilibrium Problem

   • Marino De Luca

   Pages 45-54

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7. Vector Variational Inequality and Geometric Vector Optimization

   • Elster Karl-Heinz, Rosalind Elster

   Pages 55-67

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8. Testing a New Class of Algorithms for Nonlinear Complementarity Problems

   • Facchinei Francisco, João Soares

   Pages 69-83

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9. Equilibrium in Transport Networks with Capacity Constraints

   • Ferrari Paolo

   Pages 85-100

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10. Separation of Sets and Gap Functions for Quasi-Variational Inequalities

    • Giannessi Franco

    Pages 101-121

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11. Stability of Monotone Variational Inequalities with Various Applications

    • Gwinner Joachim

    Pages 123-142

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12. A Primal-Dual Proximal Point Algorithm for Variational Inequality Problems

    • Kouichiro I. Iwaoka, Masao F. Fukushima, Ibaraki Toshihide

    Pages 143-153

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13. Relations between t—, s—, z—Domain Descriptions of Periodically—Switched Networks

    • Köksal Muhammet

    Pages 155-168

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14. On Side Constrained Models of Traffic Equilibria

    • Larsson Torbjörn, Patriksson Michael

    Pages 169-178

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15. Advantages and Drawbacks of Variational Inequalities Formulations

    • Marcotte Patrice

    Pages 179-194

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16. Variational and Quasi-Variational Inequalities in Network Flow Models. Recent Developments in Theory and Algorithms

    • Maugeri Antonino

    Pages 195-211

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17. A Variational Inequality Associated to a Scalar Conservation Law with Unilateral Constraints

    • Venkatesha M. K. Murthy

    Pages 213-223

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18. Continuity of the Solution Set of Homogeneous Equilibrium Problems and Linear Complementarity Problems

    • Oettli Werner, Yen Nguyen Dong

    Pages 225-234

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19. Tensor Approximations of Smooth Nonlinear Complementarity Systems

    • Rapcsák Támas

    Pages 235-249

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20. Basic Existence Theorems for Generalized Variational and Quasi-Variational Inequalities

    • Ricceri Biagio

    Pages 251-255

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This volume brings forth a set of papers presented at the conference on "Varia­ tional Inequalities and network equilibrium problems", held in Erice at the "G. Stam­ pacchia" School of the "E. Majorana" Centre for Scientific Culture in the period 19~25 June 1994. The meeting was conceived to contribute to the exchange between Variational Analysis and equilibrium problems, especially those related to network design. Most of the approaches and viewpoints of these fields are present in the volume, both as concerns the theory and the applications of equilibrium problems to transportation, computer and electric networks, to market behavior, and to bi~level programming. Being convinced of the great importance of equilibrium problems as well as of their complexity, the organizers hope that the merging of points of view coming from differ­ ent fields will stimulate theoretical research and applications. In this context Variational and Quasi~Variational Inequalities have shown them­ selves to be very important models for equilibrium problems. As a consequence in the last two decades they have received a lot of attention both as to mathematical inves­ tigation and applications. The proof that the above mentioned equilibrium problems can be expressed, in terms of Variational or Quasi~Variational Inequalities also in the non~standard and non~symmetric cases, has been a crucial improvement.

• Finite
• Mathematica
• algorithms
• calculus
• complexity
• computer
• function
• networks
• optimization
• programming
• proof
• telecommunication

• University of Pisa, Pisa, Italy

  F. Giannessi

• University of Catania, Catania, Italy

  A. Maugeri

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