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PUBLICATIONS
Books
  1. Aubin, J.-P. Analyse Non Lineaire et Ses Motivations Economiques, Masson, Paris, 1984.
  2. Avriel, M., Diewert, W.E., Schaible, S. and I.Zang Generalized Concavity, Plenum Press, New York and London, 1988. - 332 p.
  3. Avriel, M., Diewert, W.E., Schaible, S. and Zang, I. Generalized Concavity, Mathematical Concepts and Methods in Science and Engineering, Plenum Publishing Corporation, V.36, -, 1998.
  4. Berge, C. Theorie Generale des Jeux an Personnes, Gauthier-Villars, Paris, 1957.
  5. Border, K.C. Fixed Point Theorems with Applications to Economics and Game Theory, Cambridge Univ. Press, Cambridge, 1985.
  6. Cottle, R.W. , Giannessi, F. and Lions, J.-L. eds. Variational Inequality and Complementarity Problems, Wiley, New York, 1980.
  7. Cottle, R.W., Pang, J.-S. and Stone, R.E. The Linear Complementarity Problem, Academic Press, New York, 1992.
  8. Facchinei, F., Pang, J.-S. Finite-Dimensional Variational Inequalities and Complementary Problems (two volumes), Springer-Verlag, New-York, 2003.
  9. Ferris, M.C., Mangasarian O.L., Pang, J.-S., Editors. Complementarity: Applications, Algorithms and Extensions, Kluwer Academic Publishers, Dordrecht, 2001.
  10. Ferris, M.C., Pang J.-S. Complementarity and Variational Problems: State of the Art, SIAM Publishers, Philadelphia, 1997.
  11. Friesz, T.L. Dynamic optimization and differential games, Springer, New York, 2010.
  12. Hadjisavvas, Nicolas; Komlósi, Sándor; Schaible, Siegfried (Eds.) Handbook of Generalized Convexity and Generalized Monotonicity, Springer, New York, 2005. - 672 p.
  13. Hildenbrand, W. Core and Equilibria in a Large Economy, Princeton University Press, Princeton, 1974.
  14. Isac, G. Complementarity Problems, Springer-Verlag, Berlin, 1992.
  15. Isac, G., Bulavsky V.A., Kalashnikov V.V. Complementarity, Equilibrium Efficiency and Economics, Kluwer Academic Publishers, Dordrecht-Boston-London, 2002. - 468 p.
  16. Konnov I.V. Equilibrium models and variational inequalities, Elsevier, Amsterdam, 2007. - 250 p.
  17. Konnov, I.V. Combined Relaxation Methods for Variational Inequalities (Lecture Notes in Economics and Mathematical Systems, Vol.495), Springer-Verlag, Berlin, Heidelberg, New York, 2001. - 181 p.
  18. Makarov, V.L., Rubinov, A.M., Levin, M.J. Mathematical Economic Theory: Pure and Mixed Types of Economic Mechanisms, Advanced Textbook in Economics, v.33, North-Holland Publishing Co., Amsterdam - New York, 1995. - 610 p.
  19. Nagurney, A. Network Economics: A Variational Inequality Approach, second revised edition, Kluwer Academic Publishers, Dordrecht, Netherlands, 1999.
  20. Patriksson, M. Nonlinear Programming and Variational Inequality Problems: A Unified Approach, Kluwer Academic Publishers, Dordrecht, 1999.
  21. Todd, M.J. The Computations of Fixed Points and Applications, Springer, Berlin, 1976.
Basic papers and surveys
  1. Blum, E., Oettli, W. From optimization and variational inequalities to equilibrium problems // The Math. Student - 1994 - Vol. 63, pages: 127--149
  2. Ferris, M.C. , Pang, J.-S. Engineering and economic applications of complementarity problems // SIAM Review - 1997 - Vol. 39, pages: 669--713
  3. Konnov, I.V. Combined relaxation methods for finding equilibrium points and solving related problems // Russian Mathematics (Iz. VUZ) - 1993 - Vol. 37, pages: 44-51
  4. Konnov, I.V. A general approach to finding stationary points and the solution of related problems // Computational Mathematics and Mathematical Physics - 1996 - Vol. 36, pages: 585-593
  5. M. Bianchi G. Kassay R. Pini Well-posedness for vector equilibrium problems // Math Meth Oper Res. - 2009 - Vol. 70, pages: 171-182
  6. M. Bianchi I. V. Konnov R. Pini Lexicographic and sequential equilibrium problems // J Glob Optim. - 2010 - Vol. 46, pages: 551-560
  7. M. Bianchi, G.Kassay, R.Pini Well-posed equilibrium problems // Nonlinear analysis - 2010 - Vol. 72, pages: 460--468
  8. P. Daniele Lagrange Multipliers and Infinite-Dimensional Equilibrium Problems // Journal of Global Optimization - 2008 - Vol. 40 (1), pages: 65-70
  9. P. Daniele, S. Giuffrè General Infinite Dimensional Duality Theory and Applications to Evolutionary Network Equilibrium Problems // Optimization Letters - 2007 - Vol. 1 (3), pages: 227-243
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  1. Ahmad, R., Ansari, Q.H. An Iterative Algorithm for Generalized Variational Inclusions // Applied Mathematics Letters, PERGAMON - 2000
  2. Allevi, E., Konnov, I.V. Generalized Vector Variational Inequalities over Arbitrary Product Sets // - 2002
  3. Allevi, E., Gnudi.A., Konnov, I.V., Schaible S. Noncooperative Games with Vector Payoffs under Relative Pseudomonotonicity // Journal of Optimization Theory and Applications - 2003
  4. Anna Nagurney Zugang Liu, Monica-Gabriela Cojocaru, and Patrizia Daniele Dynamic electric power supply chains and transportationnetworks: An evolutionary variational inequality formulation // Elsevier, Science Direct - 2007
  5. Ansari, Q.H., Konnov, I.V., Yao J.-C. Existence of a Solution and Variational Principles for Vector Equilibrium Problems // Journal of Optimization Theory and Applications - 2001
  6. Ansari, Q.H., Konnov, I.V., Yao J.-C. Characterization of Solutions for Vector Equilibrium Problems // Journal of Optimization Theory and Applications - 2002
  7. Ansari, Q.H., Konnov, I.V., Yao J.-C. On Generalized Vector Equilibrium Problems // Nonlinear Analysis, PERGAMON - 2001
  8. Ansari, Q.H., Lin, Y.C., Yao J.-C. General KKM Theorem with Applications to Minimax and Variational Inequalities // Journal of Optimization Theory and Applications - 2000
  9. Ansari, Q.H., Schaible, S., Yao J.-C. The System of Generalized Vector Equilibrium Problems with Applications // Journal of Global Optimization - 2002
  10. Ansari, Q.H., Schaible, S., Yao J.-C. System of Vector Equilibrium Problems and Its Applications // Journal of Optimization Theory and Applications - 2000
  11. Ansari, Q.H., Siddiqi, A.H. Existence and Duality of Generalized Vector Equilibrium Problems // Journal of Mathematical Analysis and Applications - 2001
  12. Ansari, Q.H., Wong N.-C., Yao J.-C. The Existence of Nonlinear Inequalities // Applied Mathematics Letters, PERGAMON - 1999
  13. Ansari, Q.H., Yao J.-C. An Existence Result for the Generalized Vector Equilibrium Problem // Applied Mathematics Letters, PERGAMON - 1999
  14. Ansari, Q.H., Yao J.-C. On Nondifferntiable and Nonconvex Vector Optimization Problems // Journal of Optimization Theory and Applications - 2000
  15. Ansari, Q.H., Yao J.-C. Iterative Schemes for Solving Mixed Variational-Like Inequalities // Journal of Optimization Theory and Applications - 2001
  16. Antipin A.S. Feedback-Controlled Saddle Gradient Processes. // Automation and Remote Control. - 1994
  17. Antipin A.S. Solving variational inequalities with coupled constraints by means of differential equations. // Differential Equations. - 2000
  18. Auslender, A. and Teboulle, M. Lagrangian duality and related multiplier methods for variational inequalities // SIAM J. Optimization, 10 (2000), 1097--1115. - 2000
  19. Auslender, A. and Teboulle, M. Entropic proximal decomposition methods for convex programs and variational inequalities // Mathematical Programming - 2001
  20. Auslender, A., Teboulle , M., Ben-Tiba, S. A lgorithmic-quadratic proximal method for variational inequalities // Computational Optimization and Applications - 1999
  21. Bianchi, M., Pini R. A result on localization of equilibria // Journal of Optimization Theory and Applications - 2002
  22. Bianchi, M., Pini.R. A note on equilibrium problems with properly quasimonotone bifumctions // Journal of Optimization Theory and Applications - 2001
  23. Bianchi, M., Pini.R. A note on equilibrium problems with properly quasimonotone bifunctions // Journal of Optimization Theory and Applications - 2001
  24. Bianchi, M., Schaible S. Equilibrium Problems under Generalized Convexity and Generalized Monotonicity // Journal of Global Optimization - 2003
  25. Bulavsky, V.A., Isac, G., Kalashnikov, V.V. Application of Topological Degree Theory to Semi-Definite Complementarity Problem // Optimization - 2001
  26. Craven, B. D. , Islam, S.M.N. Transversality Conditions for Infinite Horizon Optimal Control Models in Economics and Finance //
  27. Craven, B.D. , Islam, S.M.N. Dynamic Optimization Models in Finance: Some Extensions to the Framework, Models and Computation //
  28. Daniele, P. Evolutionary Variational Inequalities and Economic Models for Demand - Supply Markets // Mathematical Models and Methods in Applied Sciences - 2003
  29. Daniele, P. Variational inequalities for static equilibrium market. Lagrangean function and duality. // Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models, Kluwer Academic Publishers, F. Giannessi - A. Maugeri - P. Pardalos Eds. - 2001
  30. Daniele, P. On dynamical equilibrium problems and variational inequalities // Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models, Kluwer Academic Publishers, F. Giannessi - A. Maugeri - P. Pardalos Eds. - 2001
  31. Daniele, P. Variational inequalities and discrete and continuum models of network equilibrium problems // Mathematical and Computer Modelling - 2002
  32. Daniele, P., Maugeri A. Vector variational inequalities and a continuum modelling of traffic equilibrium problems // Vector Variational Inequalities and Vector Equilibria - F. Giannessi Ed. - 2000
  33. Daniele, P., Maugeri A., Oettli, W. Variational inequalities and time-depending traffic equilibria // C. R. Acad. Sci, Paris - 1998
  34. Daniele, P., Maugeri A., Oettli, W. Time-dependent traffic equilibria // Jou. Optim. Th. Appl. - 1999
  35. F.Giannessi, G.Mastroeni, L.Pellegrini On the theory of Vector Optimization and Variational Inequalities. Image space analysis and separation in: Vector Variational Inequalities and Vector Equilibria // Kluwer Academic Publishers - 2000
  36. G. Mastroeni, L. Pellegrini On the Image Space Analysis for Vector Variational Inequalities // Journal of Industrial and Management Optimization - 2005
  37. Isac, G., Kalashnikov, V.V. Exceptional Families of Elements, Leray-Schauder Alternative, Pseudomonotone Operators and Complementarity // Journal of Optimization Theory and Applications - 2001
  38. Katta G. Murty Linear Complementarity, Linear and Nonlinear Programming // Helderman-Verlag - 1988
  39. Konnov I.V. On an approach to solve transportation equilibrium problems //
  40. Konnov I.V. Generalized variational inequalities over product sets // Kazan State University, Kazan, Russia
  41. Konnov I.V. Mixed Variational Enequalities and Exact Penalty Functions // Kazan State University, Kazan, Russia
  42. Konnov, I.V. A note on Lagrangean dual problem of variational inequalities // Kazan University
  43. Kovalenko A.G. Investigation of Mathematical Models od Single-Commodity Dispersed Markets // Samara State University
  44. L.Pellegrini On dual vector optimization and shadow prices // RAIRO-Operations Research - 2004
  45. M. Bianchi and R. Pini Coercivity conditions for equilibrium problems // Journal of Optimization Theory and Applications - 2005
  46. M. Bianchi, R.Pini Sensitivity for parametric vector equilibria // Optimization - 2006
  47. M. Bianchi, G. Kassay, R. Pini Ekeland's principle for vector equilibrium problems // Nonlinear analysis - 2007
  48. M. Bianchi, I.V. Konnov, R.Pini Lexicographic variational inequalities with applications // Optimization - 2007
  49. M. Bianchi, R.Pini A note on stability for parametric equilibrium problems // Operation Research Letters - 2003
  50. M. Bianchi, R.Pini A Result on localization of equilibria // Journal of Optimization Theory and Applications - 2002
  51. Nagurney, A. Some Recent Developments in Network Economics //
  52. Nagurney, A. Spatial Price Equilibrium // Isenberg School of Management, University of Massachusetts - 2002
  53. Nagurney, A. Variational inequalities // Isenberg School of Management, University of Massachusetts - 2002
  54. Nagurney, A., Dong J., Mokhtarian P. Traffic Network Equilibrium and the Environment: A Multicriteria Decision-Making Perspective // Computational Methods in Decision-Making, Economics and Finance, Kluwer Academic Publishers - 2002
  55. Nagurney, A., Dong J., Mokhtarian P. Integrated Multicriteria Network Equilibrium Models for Commuting versus Telecommuting //
  56. Nagurney, A.,Dong, J., Zhang D. Multicriteria Spatial Price Networks: Statics and Dynamics //
  57. Nagurney, A.,Ke Ke Financial Networks with Electronic Transactions: Modeling, Analysis, and Computations // Presented at the 5th International Conference on Electronic Commerce Research, Montreal, Canada - Oct.,2002
  58. Nurminskii E.A. Convergence of the Suitable Affine Subspace Method for Finding the Least Distance to a Simplex // Computational Mathematics and Mathematical Physics - 2005
  59. Patrizia Daniele Lagrange multipliers and infinite-dimensional equilibrium problems // J. Glob. Optim - 2008
  60. Rubinov, A.M. Equilibrium with restriction on exchange // Kibernetika i Systemnyi Analiz - 2002
  61. Rubinov, A., Glover, B. Equilibrium with fixed budgets and superlinear connections // ANZIAM J. - 2001
 
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