SOME FURTHER GENERALIZATIONS OF KY FAN'S MINIMAX INEQUALITY AND ITS APPLICATIONS
Zhang Shi-sheng, Ganshan Yang · 1990
The purpose qf this paper is to introduce the concept of generalized KKM mapping and to obtain some general version t~f the .famous KKM theorem and Ky Fan ~ mhtimax inequality. A s applications, we utilize the results presented in this paper to study the saddle pohlt problem and the existence problem of solutions ./'or a class of quasi-variatiOnal inequalities. The results obtained in this paper extend and improve some recent restdts of [1 - 61.