Variational Inequalities and the Continuum Model of Transportation Problem

International Journal of Nonlinear Sciences and Numerical Simulation

Volumn 4, Issue 1, 2003, Pages 11-16

  Daniele, Patrizia ^a   Idone, Giovanna ^b   Maugeri, Antonino ^a  

^a UNIVERSITY OF CATANIA   (Italy)

^b UNIVERSITY MEDITERRANEA OF REGGIO CALABRIA   (Italy)

Author keywords

Capacity constraints; Continuum traffic equilibrium problems; Lagrangean theory; Quasi relative interior; Subgradient method; Variational inequality

Indexed keywords

EID: 0037241542     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. Borwein, J.M. - Lewis, A.S. Practical conditions for Fenchel duality in Infinite Dimensions, Pitman Research Notes in Mathematics Series 252, Théra M.A. - Baillon J.B. Editors, 83-89.
2. Dafermos, S. Continuum Modelling of Transportation Networks, Transportation Res. 14 B (1980) 295-301.
3. Daniele, P. Lagrangean Function for Dynamic Variational Inequalities, Rendiconti del Circolo Matematico di Palermo, Serie II, 58 (1999), 101-119.
4. Daniele P. - Maugeri, A. Vector Variational Inequalities and a Continuum Modelling of Traffic Equilibrium Problem, in Vector Variational Inequalities and Vector Equilibria, Giannessi F. Ed., Kluwer Academic Publishers (2000), 97-111.
5. Gwinner, J. On continuum Modelling of Large Dense Networks in Urban Road Traffic, in Mathematics in Transport Planning and Control (Griffiths J.D. Ed.), IMA Conference, Cardiff (1988).
6. Idone, G. Variational Inequalities and Applications to a Continuum Model of Transportation Network with Capacity Constraints, to appear in Journal of Global Optimization, 2002.
7. Maugeri, A. Dynamic Models and Generalized Equilibrium Problems, in New Trends in Mathematical Programming, Giannessi F. et al. Eds., Kluwer Academis Publishers (1998), 191-202.
8. Maugeri, A. New Classes of Variational Inequalities anf Applications to Equilibrium Problems, Methods of Operation Research 53 (1985), 129-131.
9. Maugeri, A. New Classes of Variational Inequalities anf Applications to Equilibrium Problems, Rendiconti Accademia Nazionale delle Scienze detta dei XL 11 (1987), 224-285.
10. Maugeri, A. Equilibrium Problems and Variational Inequalities, in Equilibrium Problems: Nonsmooth Optimization and Variational Inequalities Models, Maugeri A. , Giannessi F., Pardalos P. Eds., Kluwer Academic Publishers (2001), 187-205.