bất đẳng thức biến phân và ứng dụng 7

luận văn hệ thống lại một số các kết quả gần đây về bất đẳng thức biến phân và cân bằng mạng giao thông , đồng thời trình bày các kết quả của về bất đẳng thức biến phâm và cân bằng mạng

Tai lieu thalli khao

[1] N.K Chi, D.H Chuang va N.H Linh, Bat Ddng Th71cBi€n Phan va rJng

D'lfng vao Bai Torin Mr;mg Giao Thong, De tai NCKH c§,p truang De;tihQc

KHTN, De;tihQc Qu6c Gia Tp.HCM, 2004

[2] P Daniele, A Maugeri and W Oettli, Timedependent Traffic Equ'ilibria,

Jour-nal of Optimization Theory and Applications, Vol 103, 543-555, 1999

[3] P.Q Khanh and L.M Luu, On The Existence of Solution to Vector Quasi

Variational Ineq'ualities and Quasi Complementtarity Problems with Applica-tion to Traffic Network Equilibria, Journal of OptimizaApplica-tion and Its Applica-tions, Vol 123, 533-548, 2004

[4] P.Q Khanh and L.M Luu, Some Existence Results for Vector

Quasivaria-tional Inequalities Involving Multifunction and Application to Traffic Equi-librium Problems, Journal of Global Optimization, Vol 32, 551-568, 2005.

[5] P.Q Khanh and L.M Luu, UpperSemi continuos of The Solution Set to

Para-metric Vector Quasivariational Inequalities, Journal of Global Optimization,

Vol 32, 569-580, 2005.

[6] N.X Hai and P.Q Khanh, Existence of Solutions to General Quasi-Equilibrium Problems and Applications, (In Press), 2004.

[7] M.J Smith, The Existence, Uniqueness and Stability of Traffic Equilibrium,

Transportation, Vol 13B, 295-304, 1979

[8] X.Q Yang and C.J Goh, On Vector Variational Inequalities Application to

Vector Equilibria, Euro Journal of Operational Research, Vol 116, 615-628,

1999.

[9] D.S Kum and G.M Lee, Remarks on Implicit Vector Variational Inequalities,

Taiwanese Journal of Mathematics, Vol 6, 369-382, 2002

[10] D.S Kum and G.M Lee, On Implicit Vector Variational Inequaliries, Journal

of Optimization Theory and Application, Vol 104, 409-425, 2000

[11] N.D Yen, Lipschitz Continuity of Solution of Variational Inequalities with a Parametric Polyhedral Constraint, Mathematics of Operations Research, Vol

20, 695-708, 1995

[12] G.M Lee, D.S Kum, B.S Lee va N.D Yen, Vector variational Inequality as

a tool for studying vector optimization problems, Nonlinear Analysis, Vol 34,

745-765, 1998.

[13] J Wardrop, Some theoretical aspects of Road Traffic Reseach, Proceedings of

the Institute of Civil Engineers, Vol 1, 325-378, 1952

[14] A.N Iusem and W Sosa, New Existence Results for Equilibrium Problems,

Nonlinear Analisys, Vol 52, 621-635, 2003

[15] S.J Li, G.L Chen and K.L Teo, On the Stability of Generalized Vector Quasi

Variational Inequalities Problems, Journal of Mathematical Analysis and

Ap-plication, Vol 113, 283-295, 2002.

[16] LV Konov, On Quasimonotone Variational Inequalities Journal of

Opti-mization Theory and Applications, Vol 99, 165-181, 1998.

[17] E Tarafdar, A Fixed point theorem Equivalent to the Fan-Knaster

-Kuratowski-Mazurkiewicz theorem, Journal of Mathematical Analysis and

Applications, Vol 128, 475-479, 1987.

[18] D Asseul and N Hadjisavvas, On Quasimonotone Variational Inequalities,

Journal of Optimization Theory and Applications, Vol 125, 445-450, 2004

[19] Q.H Ansari, Y.C Lin and J.C.Yao, General KKM theorem with Applications

to Minimax and Variational Inequalities, Journal of Optimization Theory and Applications, Vol 184, 41-57, 2000

[20]M Bianchi and S Schaible, Equilibrium Problems under generalized convexity

and generalized monotonicity, Journal of Global Optimization, Vol 30, 121

-134, 2004

[21] B Ricceri, Basic Existence Theorems for Generalized Variational and

Quasi-variational Inequalities, Variational Inequalities and Network Equilibrium~

Problems, Edited by F Giannessi and A Maugeri, Plenum Press, NewYork, 251-255, 1995.

[22] ]\II De Luca, Generalizd Quasi-variational Inequalities and Traffic Equilib-rium Problem, Variational Inequalities and Network Equilibrium Problems, Edited by F Giannessi and A Maugeri, Plenum Press, NewYork, 45-54, 1995

[23] J Jahn, Introduction to The Theory of Nonlinear Optimization,

Springer-Verlag, 1994.

[24] D Kinderlehrer and G Stampacchia, An Induction to Variational Inequalities

and Their Applications, Academic Press, NewYork, 1980

[25]R Aubin and H Franowska, Set- Valued Analysis, Birkhauser, Berlin, 1990

[26]F Giannessi, On the Theo'ry of Vecotr Optimization and Variational

Inequal-ities Image Space Analysis and Separation, Vector Variational Inequalities

and Vector Equilibria, Edited by F Giannessi, Kluwer Academic, Dordrecht, 153-216, 2000.

[27] F Giannessi, Separation of nets and gap Function for Quasi-variational Inequalities, Variational Inequalities and Network Equilibrium Problems, Edited by F Giannessi and A Maugeri, Plenum Press, NewYork, 101-122, 1995

[28] Q.H Ansari, Vector Equilibrium Problems and Vector Variational

Inequali-ties, Vector Variational Inequalities and Vector Equilibria, Edited by F

Gi-annessi, Kluwer Academic, Netherlands, 2000.

[29] C Berge, Topological Spaces, MacMillan, New York, 1968.

[30] J.1 Bensoussan and J.1.1ions, Impulse Control and Qusivariational Inequal-ities, Gautheiers Villars, Bordar, Paris, France, 1984