Comments on Ding's examples of $FC$-spaces and related matters
Commun. Korean Math. Soc. 2012 Vol. 27, No. 1, 137-148
https://doi.org/10.4134/CKMS.2012.27.1.137
Printed March 1, 2012
Sehie Park
Seoul NationalUniversity
Abstract : Recently Ding [4, 5, 8] gives examples of his $FC$-spaces which are not $L$-spaces due to Ben-El-Mechaiekh et al. [1]. We show that they are actually $L$-spaces. We also clarify that all statements in [5] can be stated in corrected and generalized forms for the class of abstract convex spaces beyond $FC$-spaces.
Keywords : abstract convex space, KKM space, generalized ($G$-)convex space, $L$-space, minimax inequality, fixed point
MSC numbers : 47H04, 47H10, 49J27, 49J35, 54C60, 54H25, 91B50
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