On continuity of fixed points of collectively condensing maps
Author: Martin Fan Cheng
Journal: Proc. Amer. Math. Soc. 63 (1977), 74-76
MSC: Primary 47H10; Secondary 54H25
MathSciNet review: 0435943
Abstract: In this paper, we prove, in two parts, the following claim. Let X be a Banach space and an arbitrary topological space. Suppose that is collectively condensing; then the fixed point set has closed graph if and only if T is continuous in both and y.
Keywords: Collective condensing, closed graph, upper-semicontinuity
Article copyright: © Copyright 1977 American Mathematical Society