FURTHER GENERALIZATIONS OF MINIMAX INEQUALITIES FOR MIXED CONCAVE-CONVEX FUNCTIONS AND APPLICATIONS

In this paper we obtain a minimax inequality for generalized mixed con cave-convex functions which contain the corresponding results from the literature as special cases and improves the corresponding result in (B. L. Lin and X. C. Quan, J. Math. Anal. Appl. 161 (1991), 587-590). As applications, in Sections 3 and 4, we utilize the results presented in this paper to study the abstract variational inequality problem an d the coincidence point problem for set-valued mappings and for saddle problems. (C) 1994 Academic Press, Inc.