Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học được đăng trên tạp chí toán học quốc tế đề tài: Applications of some basic theorems in the KKM theory | Fixed Point Theory and Applications SpringerOpen0 This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text HTML versions will be made available soon. Applications of some basic theorems in the KKM theory Fixed Point Theory and Applications 2011 2011 98 doi 1687-1812-2011-98 Sehie Park shpark@ ISSN 1687-1812 Article type Research Submission date 4 March 2011 Acceptance date 7 December 2011 Publication date 7 December 2011 Article URL http content 2011 1 98 This peer-reviewed article was published immediately upon acceptance. It can be downloaded printed and distributed freely for any purposes see copyright notice below . For information about publishing your research in Fixed Point Theory and Applications go to http authors instructions For information about other SpringerOpen publications go to http 2011 Park licensee Springer. This is an open access article distributed under the terms of the Creative Commons Attribution License http licenses by which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. Applications of some basic theorems in the KKM theory Sehie Park The National Academy of Sciences Seoul 137-044 Republic of Korea Department of Mathematical Sciences Seoul National University Seoul 151-747 Korea Email address shpark@ parkcha38@ Abstract. In this review we introduce a new KKM-type theorem for intersection-ally closed-valued KKM map on abstract convex spaces and its direct consequences such as a Fan-Browder-type fixed point theorem and maximal element theorems. For these basic theorems of the KKM theory we review previously obtained particular consequences of them mainly due to the author and their recent applications obtained by other authors. Therefore those .