Some further generalizations of Ky Fan’s minimax inequality and its applications to variational inequalities. (English) Zbl 0756.49007
Summary: We introduce the concept of generalized KKM mapping and obtain a general version of the famous KKM theorem and Ky Fan’s minimax inequality. As applications we utilize the results to study the saddle point problem and the existence problem of solutions for a class of quasi-variational inequalities.
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