|
Blum, E., and Oettli, W.,
From Optimization and Variational
Inequalities to Equilibrium Problems,
The Mathematics Students,
Vol. 63, pp. 123-146, 1994.
Yuan, G.X.-Z.,
KKM Theory and Applications in Nonlinear Analysis,
Marcel Dekker, Inc., New York, Basel, 1999.
Ansari, Q.H., Wong, N.-C., and Yao, J.-C.,
The Existence of Nonlinear Inequalities,
Applied Mathematics Letters,
Vol. 12, pp. 89-92, 1999.
Bianchi, M., and Schaible, S.,
Generalized Monotone Bifunctions and Equilibrium Problems},
Journal of Optimization Theory and Applications,
Vol. 90, pp. 31-43, 1996.
Chadli, O., Chbani, Z., and Riahi, H.,
Equilibrium Problems and Noncoercive Variational
Inequalities},
Optimization, Vol. 49, pp. 1-12, 1999.
Chadli, O., Chbani, Z., and Riahi, H.,
Equilibrium problems with Generalized Monotone Bifunctions
and Applications to Variational Inequalities,
Journal of Optimization Theory and Applications,
Vol. 105, pp. 299-323, 2000.
Konnov, I.V., and Schaible, S.,
Duality for Equilibrium Problems under Generalized
Monotonicity,
Journal of Optimization Theory and Applications,
Vol. 104, pp. 395-408, 2000.
Tarafdar, E., and Yuan, G.X.-Z.,
Generalized Variational Inequalities and Its Applications,
Nonlinear Analysis, Theory, Methods and Applications,
Vol. 30, pp. 4171-4181, 1997.
Ansari, Q.H.,
Vector Equilibrium Problems and Vector Variational
Inequalities,
in [11], pp. 1-16, 2000.
Bianchi, M., Hadjisavvas, N., and Schaible, S.,
Vector Equilibrium Problems with Generalized Monotone
Bifunctions,
Journal of Optimization Theory and Applications,
Vol. 92, pp. 527-542, 1997.
Giannessi, F.ed.,
Variational Inequalities and Vector Equilibria.
Mathematical Theories,
Kluwer Academic Publishers, Dordrecht-Boston-London, 2000.
Hadjisavvas, N., and Schaible, S.,
From Scalar to Vector Equilibrium Problems in the Quasi-
monotone Case,
Journal of Optimization Theory and Applications,
Vol. 96, pp. 297-309, 1998.
Lee, G.M., Kim, D.S., and Lee, B.S.,
On Noncooperative Vector Equilibrium,
Indian Journal of Pure and Applied Mathematics,
Vol. 27, pp. 735-739, 1996.
Lin, L.-J., and Yu, Z.T.,
Fixed Point Theorems and Equilibrium Problems,
Nonlinear Analysis, Theory, Methods and Applications,
Vol. 43, pp. 987-999, 2001.
Oettli, W.,
A Remark on Vector Valued Equilibria and Generalized
Monotonicity,
Acta Mathematica Vietnamica,
Vol. 22, pp. 213-221, 1997.
Tan, N.X., and Tinh, P.N.,
On the Existence of Equilibrium Points of Vector Functions,
Numerical Functional Analysis and Applications,
Vol. 19, pp. 141-156, 1998.
Ansari, Q.H., and Yao, J.-C.,
An Existence Result for the Generalized Vector Equilibrium Problems,
Applied Mathematics Letters, Vol. 12(8), pp. 53-56, 1999.
Ansari, Q.H., Konnov, I.V., and Yao, J.-C.,
On Generalized Vector equilibrium Problems,
Nonlinear Analysis; Theory, Methods and Applications,
Vol. 47, pp. 543-554, 2001.
Konnov, I.V., and Yao, J.-C.,
Existence of Solutions for Generalized Vector Equilibrium
Problems},
Journal of Mathematical Analysis and Applications,
Vol. 233, pp. 328-335, 1999.
Lin, L.J., Yu, Z. T.}, and Kassay, G.,
Existence of Equilibria for Monotone Multivalued Mappings
and Its Applications to Vectorial Equilibria,
Journal of Optimization Theorey and Applications,
Vol. 114, 2002 (forthcoming).
Oettli, W., and Schlager, D.,
Existence of Equilibria for Monotone Multivalued Mappings,
Mathematical Methods of Operations Research,
Vol. 48, pp. 219-228, 1998.
Ansari, Q.H., and Yao, J.-C.,
Generalized Vector Equilibrium Problems,
To appear in Journal of Statistics and Management Systems, 2002.
Bianchi, M., and Pini, R.,
A Result of Localization of Equilibria ,
To appear in Journal of Optimization Theory and Applications, 2002.
Lin, L.-J., Ansari, Q.H., and Wu, J.-Y.,
Geometric Properties and Coincidence Theorems with Applications
to Generalized Vector Equilibrium Problems ,
To appear in Journal of Optimization Theory and Applications, 2002.
Chang, T.H., and Yen, C.L.,
KKM Properties and Fixed Point Theorems,
Journal of Mathematical Analysis and Applications,
Vol. 203, pp. 224-235, 1996.
Djafari-Rouhani, B., Tarafdar, E., and Watson, P.-J.,
Fixed Point Theorems, Coincidence Theorems and Variational Inequalities,
2000 Mathematics Subject Classification.
Ding, X.P.,
Best Approximation and Coincidence Theorems,
J. Sichuan Normal University (Natural Sicence), 18(1995), 21-29.
Tian, G.Q.,
Generalizations of KKM Theorem and the Ky Fan Minimax Inequality
with Applications to Maximal Elements, Price Equilibrium and Complementarity,
Journal of Mathematical Analysis and Applications,
Vol. 170, pp. 457-471, 1992.
Ding, X.P.,
Existence of Solutions for Quasi-equilibrium Problems in Noncompact
Topological Spaces,
Computer Mathematics with Applications 39 (2000), 13-21.
Chang, S.S., Lee, B.S., Wu, X., and Cho, Y.J.,
and Lee, G.M.,
On the Generalized Quasi-variational Inequality ProblemS,
Journal of Mathematical Analysis and Applications,
Vol. 203, pp. 686-711, 1996.
Lassonde, M.,
On the Use of KKM Multifunctions in Fixed Point Theory and
Related Topics,
Journal of Mathematical Analysis and Applications,
Vol. 97, pp. 151-201, 1983.
Lin, L.-J.,
1Applications of a Fixed Point Theorem in G-convex Space,
Nonlinear Analysis, Theory, Methods and Applications,
Vol. 46, pp. 601-608, 2001.
Lin, L.-J.,
A KKM Type Theorem and Its Applications,
Bulletin of the Australian Mathematical Society,
Vol. 59, pp. 481-493, 1999.
Tan, N.X.,
Quasi-variational Inequalities in Topological Linear
Locally Convex Hausdorff Spaces ,
Mathematische Nachrichten, Vol. 122, pp. 231-245, 1985.
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