International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 1, Pages 15-30
doi:10.1155/S0161171292000024

Fixed points and continuity for multivalued mappings

Abstract

Many of the contractive definitions do not require continuity of the map. However, in a previous paper the second author has shown in [1] that, in most cases, the function is continuous at a fixed point. In this paper we show that the same behavior is exhibited for many multivalued mappings.