@Article{CMR-25-213, author = {Piao , Yongjie}, title = {KKM Theorems on FC-Spaces with Their Applications to Variational Inequalities}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {25}, number = {3}, pages = {213--222}, abstract = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19328.html} }