Infinite Time-Dependent Network Equilibria with a Multivalued Cost Function

B. Djafari Rouhani and B. Ahmadi Kakavandi
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B. Djafari Rouhani: University of Texas at El Paso
B. Ahmadi Kakavandi: Tarbiat Modarres University

Journal of Optimization Theory and Applications, 2006, vol. 131, issue 3, No 6, 405-415

Abstract: Abstract In this paper, we consider the dynamic traffic network equilibria with possibly an infinite number of routes, a possibly multivalued cost function, and a not necessarily reflexive Banach space of flow trajectories. We investigate the existence of equilibria under a monotonicity assumption on the cost function, as well as an equivalent condition for equilibria under additional constraints. Finally, we give an iterative method for the computation of equilibria. Our results generalize and extend previous results in Refs. 1–2.

Keywords: Variational inequalities; transportation networks; pseudomonotone and u-hemicontinuous operators; multivalued cost functions; gap functions (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/s10957-006-9159-8

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