TY - JOUR
T1 - KKM Theorems on FC-Spaces with Their Applications to Variational Inequalities
AU - Piao , Yongjie
JO - Communications in Mathematical Research 
VL - 3
SP - 213
EP - 222
PY - 2021
DA - 2021/07
SN - 25
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19328.html
KW - FC-space, FC-subspace, KKM map, lower semicontinuous, variational inequality.
AB - <p style="text-align: justify;">A new concept of finitely continuous topological spaces (in short, FC-space) without convexity structure and linear structure was introduced. Some KKM type theorems in noncompact FC-spaces were obtained, and from which, some section theorems and variational inequality theorems were proved under much weak assumptions. Our results improve and generalize the corresponding conclusions in recent literature.</p>