Volume 2,  Issue 1, 2001

Article 12

ON KY FAN'S MINIMAX INEQUALITIES, MIXED EQUILIBRIUM PROBLEMS AND HEMIVARIATIONAL INEQUALITIES

EL MOSTAFA KALMOUN
E-Mail: ekalmoun@ucam.ac.ma

MATHÉMATIQUES, FACULTÉ DES SCIENCES I SEMLALIA
UNIVERSITÉ CADI
AYYAD, B.P. 2390
MARRAKECH 40000, MOROCCO

Received 12 July, 2000; accepted 14 January 2001.
Communicated by: A.M. Rubinov


ABSTRACT. In this note, we present a generalization of the Ky Fan's minimax inequality theorem by means of a new version of the KKM lemma. Application is then given to establish existence of solutions for mixed equilibrium problems. Finally, we investigate the relationship between the latter problems and hemivariational inequalities.
Key words:
Ky Fan's minimax inequalities, KKM Theorem, saddle points, mixed variational and hemivariational inequalities, transfer semicontinuity, Hemivariational inequalities, T-pseudomonotonicity

2000 Mathematics Subject Classification:
49J35, 47J20.


 

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