Abstract
In this paper, a generalized version of the famous KKM theorem is obtained by using the concept of generalized KKM mappings introduced by Chang and Zhang [5]. By employing our generalized KKM theorem, we obtain a generalized minimax inequality which includes several existing ones as special cases. Further, by applying our generalized minimax inequality we establish an existence result for the saddle-point problem under general setting. Finally, we also derive some existence results for generalized equilibrium problems and generalized variational inequalities.
Citation
Lu-Chuan Zeng Zeng. Soon-Yi Wu. Jen-Chih Yao. "GENERALIZED KKM THEOREM WITH APPLICATIONS TO GENERALIZED MINIMAX INEQUALITIES AND GENERALIZED EQUILIBRIUM PROBLEMS." Taiwanese J. Math. 10 (6) 1497 - 1514, 2006. https://doi.org/10.11650/twjm/1500404570
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