ON STRONG LAGRANGE DUALITY FOR WEIGHTED TRAFFIC EQUILIBRIUM PROBLEM

被引：7

作者：

Barbagallo, Annamaria ^{[1
]}

Di Vincenzo, Rosalba ^{[2
]}

Pia, Stephane ^{[2
]}

机构：

[1] Univ Naples Federico II, Dept Math & Applicat R Caccioppoli, I-80126 Naples, Italy

[2] Univ Catania, Dept Math & Comp Sci, I-95125 Catania, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 31卷 / 04期

关键词：

Duality theory; Assumption S; weighted traffic equilibrium problem; INFINITE-DIMENSIONAL DUALITY; VARIATIONAL-INEQUALITIES; REGULARITY; EXISTENCE;

D O I：

10.3934/dcds.2011.31.1097

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The weighted traffic equilibrium problem introduced in [17], in which the equilibrium conditions have been expressed in terms of a weighted variational inequality, studies a transportation network in presence of congestion. For such a problem, existence and regularity theorems have been proved in H. In this paper, we analyze the dual problem and characterize the weighted traffic equilibrium solutions by means of Lagrange multipliers, which allow to describe the behavior of the weighted transportation network.

引用

页码：1097 / 1113

页数：17

共 26 条

[1]

[Anonymous], 1971, Contributions to nonlinear functional analysis

[2]

AUBIN JP, 1987, ANAL FONCTIONNELLE A, V2

[3] Regularity results for evolutionary nonlinear variational and quasi-variational inequalities with applications to dynamic equilibrium problems [J].

Barbagallo, Annamaria .

JOURNAL OF GLOBAL OPTIMIZATION, 2008, 40 (1-3) :29-39

[4]

Barbagallo A, 2009, SER ADV MATH APPL SC, V82, P51

[5] Weighted variational inequalities in non-pivot Hilbert spaces with applications [J].

Barbagallo, Annamaria ;

Pia, Stephane .

COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2011, 48 (03) :487-514

[6] Duality theory for the dynamic oligopolistic market equilibrium problem [J].

Barbagallo, Annamaria ;

Maugeri, Antonino .

OPTIMIZATION, 2011, 60 (1-2) :29-52

[7] On the regularity of retarded equilibria in time-dependent traffic equilibrium problems [J].

Barbagallo, Annamaria .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) :E2406-E2417

[8] Existence and regularity of solutions to nonlinear degenerate evolutionary variational inequalities with applications to dynamic network equilibrium problems [J].

Barbagallo, Annamaria .

APPLIED MATHEMATICS AND COMPUTATION, 2009, 208 (01) :1-13

[9] Continuity of solutions for parametric variational inequalities in Banach space [J].

Barbagallo, Annamaria ;

Cojocaru, Monica-Gabriela .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 351 (02) :707-720

[10] PARTIALLY FINITE CONVEX-PROGRAMMING .1. QUASI RELATIVE INTERIORS AND DUALITY-THEORY [J].

BORWEIN, JM ;

LEWIS, AS .

MATHEMATICAL PROGRAMMING, 1992, 57 (01) :15-48

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