Abstract
Several new fixed point theorems in H-space are first proved. Next, by applying the fixed point theorems, some minimax inequalities and existence theorems of maximal elements for $\cal{L}$$_F$ correspondences and $\cal{L}$$_F$-majorized correspondences in H-spaces are obtained. Finally, using the existence theorems of maximal elements, some equilibrium existence theorems for one-person games, qualitative games and noncompact abstract economies with $\cal{L}$$_F$-majorized correspondences in H-spaces are obtained. Our theorems improve and generalize most known results due to Border, Borglin-Keiding, Ding-Kim-Tan, Ding-Tan, Ding-Tarafdar, Mehta-Tarafdar, Shafer-Sonnenschein, Tan-Yuan, Tarafdar, Toussaint, Tulcea, Yannelis and Yannelis-Prabhakar etc.
Citation
Xieping Ding. "FIXED POINTS, MINIMAX INEQUALITIES AND EQUILIBRIA OF NONCOMPACT ABSTRACT ECONOMIES." Taiwanese J. Math. 2 (1) 25 - 55, 1998. https://doi.org/10.11650/twjm/1500406893
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