Quasi-Variational Inequalities and Applications to Equilibrium Problems with Elastic Demand

  • M. De Luca
  • A. Maugeri
Part of the Ettore Majorana International Science Series book series (EMISS, volume 43)


Let (N, A, W) be a transportation network where N is the set of p nodes P i , i = 1, ...,p, A the set of directed arcs a i , i = 1 , ...,n, W the set of OD (origin-destination) pairs w j , j = 1, ...,ℓ. The flow on a i is denoted by f i and f denotes the column vector whose components are f i , i = 1, ..., n. The travel cost on arc a i is a given function of f which we denote by c i (f) and the column vector c(f), whose components are c i (f), denotes the travel cost on all arcs.


Variational Inequality Column Vector Equilibrium Problem Travel Cost Elastic Demand 
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Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • M. De Luca
    • 1
  • A. Maugeri
    • 2
  1. 1.Technological InstituteUniv. of Reggio CalabriaReggio CalabriaItaly
  2. 2.Dept. of MathematicsUniv. of CataniaCataniaItaly

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