Fixed points theorems for mappings with non-compact and non-convex domains Academic Article uri icon


  • This note gives some fixed point theorems for lower and upper semi-continuous mappings and mappings with open lower sections defined on non-compact and non-convex sets. It will be noted that the conditions of our theorems are not only sufficient but also necessary. Also our theorems generalize some well-known fixed point theorems such as the Kakutani fixed point theorem and the Brouwer-Schauder fixed point theorem by relaxing the compactness and convexity conditions. 1991.

published proceedings

  • Journal of Mathematical Analysis and Applications

author list (cited authors)

  • Tian, G.

citation count

  • 20

complete list of authors

  • Tian, Guoqiang

publication date

  • January 1991