On Vector Equilibrium Problem with Generalized Pseudomonotonicity

Subject Areas : Econometrics and Financial Applications of other Theories (Stochastic Processes, (Stochastic) Partial Differential Equations, Dynamical Systems)

Ali Farajzadeh ¹ , Syyedeh Marzieh Halimi ²

1 - Department of Mathematics, Razi University, Kermanshah, 67149, Iran
2 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran,Iran

Received: 2019-01-26 Accepted : 2019-04-30 Published : 2019-05-01

Keywords:

References:

[1] Ansari, Q. H., Farajzadeh A.P., Schaible, S., Existence of solutions of strong vector equilibrium problems, Taiw. J. Math., 2012, 16(1), P.165-178. Doi:10.11650/twjm/1500406534

[2] Aubin, J.P., Ekeland, I., Applied Nonlinear Analysis, John Wiley and Sons, 1984.

[3] Bai, M. R., Zhou, S. Z. and Ni, G. Y., Variational-like inequalities with relaxed η − α pseudomonotone mappings in Banach spaces, Appl. Math. Lett., 2006, 19, P.547-554. Doi:10.1016/j.aml.2005.07.010

[4] Blum, E., Oettli, W., From optimization and variational inequalities to equilibrium problems, Math. Stud,1994, 63, P.123-145.

[5] Cournot, A., Theorie mathematique de la richesse sociale and of recherches surles principles mathematiques de la theorie des richesses, Paris, 1838.

[6] Dalvand,KH., Tabatabaie, M.,Studying the Role of Marketing Intensity on the Relation of Financial Leverage and Firm Function, Adv. Math. Fin. Appl., 2018, 3(3), P.27-39. Doi: 10.22034/ AMFA.2018.544947

[7] Creedy, J., The Foundations of Economic Thought, Blackwells, 1990.

[8] Fan, K., Some properties of convex sets related to fixed point theorems, Math. Ann., 1984, 266, P.519-537. Doi:10.1007/BF01458545

[9] Farajzadeh, A.P., Noor, M.A., Generalized mixed quasicomplementary problems in topological vector spaces, The Anziam J., 2008, 49(4), P.525-531

[10] Farajzadeh,A., Plubtieng,S., Hosseinpour, A., On the existence of solutions of generalized equilibrium problems with monotone mappings, J. Nonlin. Sci. Appl., 2016, 9(10), P.5712-5719. Doi:10.2243 6/jnsa.009.10.16

[11] Farajzadeh, A.P., Zafarani, J., Equilibrium problems and variational inequalities in topological vector, Optimization, 2010, 59(4), P.485-499, Doi: 10.1080/02331930801951090

[12] Iusem, A.N., Sosa, W., New existence results for equilibrium problems, Nonlin. Anal., 2003, 52, P.621-635 .Doi:10.1016/S0362-546X(02)00154-2

[13] Khorshidvand, F., Sarlak, A., Examining the Relationship between Corporate Governance and the Corporate Performance Valuation, Advances in mathematical finance and applications, 2017, 2(3), P.29-39. Doi:10. 22034/AMFA.2017.533097

[14] Luc, D.T., Theory of Vector Optimization, Springer-Verlag, Germany, 1989.

[15] Mahato, N.K., Nahak, C., Weakly relaxed -pseudomonotonicity and equilibrium problem in Banach spaces, J. Appl. Math. Comput, 2012, 40, P.499-509. Doi: 10.1007/s12190-012-0584-6

[16] Mahato, N.K., Nahak, C.,Vector eqilibrum problems with new types of generalized monotnicity , Yugoslav J. Operation Research, 2013, 23, P.213-220,Doi: 10.2298/YJOR130107024M

[17] Najfi Moghaddam, A., Aslani, D., Impacts of Cash Dividend Components on Earning Persistence and Return on Stock, Advances in mathematical finance and applications, 2018, 3(1), P.53-67. Doi: 10.22034/AMFA .2018.539134

[18] Peressini, A.L., Ordered Topological Vector Spaces, Harper and Row, New York, 1967.

[19] Turnovsky, S.J., Methods of Macroeconomic Dynamics. MIT Press, 2000.

[20] Varian ,H.R., Microeconomic Analysis (Third ed.), New York, 1992.