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Existence conditions in symmetric multivalued vector quasiequilibrium problems

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Języki publikacji
EN
Abstrakty
EN
We consider symmetric multivalued vector quasiequilibrium problems in topological vector spaces. Sufficient conditions for the solution existence are established under relaxed assumptions, which are shown by examples to be essential, easy to check and more advantageous than recent known results. Applications to lower and upper bounded quasiequilibrium problems and to coincidence point problems are given.
Rocznik
Strony
519--530
Opis fizyczny
Bibliogr. 17 poz.
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autor
Bibliografia
  • ANSARI, Q.H., KONNOV, I.V. and YAO, J.C. (2001) Existence of a Solution and Variational Principles for Vector Equilibrium Problems. Journal of Optimization Theory and Applications 110, 481-492.
  • ANSARI, Q.H., SCHAIBLE, S. and YAO, J.C. (2000) The System of Vector Equilibrium Problems and Its Applications. Journal of Optimization Theory and Applications 107, 547-557.
  • ANSARI, Q.H., SCHAIBLE, S. and YAO, J.C. (2002) The System of Generalized Vector Equilibrium Problems with Applications. Journal of Global Optimization 22, 3-16.
  • BIANCHI, M., HADJISAVVAS, N. and SCHAIBLE, S. (1997) Vector Equilibrium Problems with Generalized Monotone Bifunctions. Journal of Optimization Theory and Applications 92, 527-542.
  • BLUM, E. and OETTLI, W. (1994) From Optimization and Variational Inequalities to Equilibrium Problems. Mathematics Student 63, 123-145.
  • DEGUIRE, P.D., TAN, K.K. and YUAN, G.X. (1999) The Study of Maximal Elements, Fixed Points for LS-majorized Mappings and their Applications to Minimax and Variational Inequalities in Product Topological Spaces. Nonlinear Analysis 37, 933-951.
  • FARAJZADEH, A.P. (2006) On the Symmetric Vector Quasiequilibrium Problems. Journal of Mathematical Analysis and Applications 322, 1099-1110.
  • FU, J.Y. (2003) Symmetric Vector Quasiequilibrium Problems. Journal of Mathematical Analysis and Applications 285, 708-713.
  • HAI, N.X. and KHANH, P.Q. (2006) Systems of Multivalued Quasiequilibrium Problems. Advances in Nonlinear Variational Inequalities 9, 97-108.
  • HAI, N.X. and KHANH, P.Q. (2006) The Solution Existence of General Variational Inclusion Problems. Journal of Mathematical Analysis and Applications 328, 1268-1277.
  • HAI, N.X. and KHANH, P.Q. (2007a) Existence of Solutions to General Quasiequilibrium Problems and Applications. Journal of Optimization Theory and Applications 133, 317-327.
  • HAI, N.X. and KHANH, P.Q. (2007b) Systems of Set-Valued Quasivariational Inclusion Problems. Journal of Optimization Theory and Applications 134 (2), available online.
  • LIN, L.J. (2006) Systems of Generalized Vector Quasiequilibrium Problems with Applications to Fixed Point Theorems for a Family of Nonexpansive Multivalued Mappings. Journal of Global Optimization 34, 15-32.
  • LIN, L.J. and CHEN, H.L. (2005) The Study of KKM Theorems with Applications to Vector Equilibrium Problems and Implicit Vector Variational Inequalities Problems. Journal of Global Optimization 32, 135-157.
  • LUC, D.T. and TAN, N.X. (2004) Existence Conditions in Variational Inclusions with Constraints. Optimization 53, 505-515.
  • NOOR, M.A. and OETTLI, W. (1994) On General Nonlinear Complementarity Problems and Quasiequilibria. Le Maternatiche 49, 313-331.
  • TAN, N.X. (2004) On the Existence of Solutions of Quasivariational Inclusion Problem. Journal of Optimization Theory and Applications 123, 619-638.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0017-0052
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