Abstract.
Introducing the notion of c-measure of noncompactness due to S. Hahn, we give a homotopy extension theorem and the fixed point property for pseudo-condensing admissible maps in general topological vector spaces. Moreover, these results are applied to obtain a Leray-Schauder type fixed point theorem for pseudo-condensing admissible maps in topological vector spaces which includes many known results.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 11 July 2001; revised manuscript accepted: 11 February 2002
RID="*"
ID="*"This paper was supported by Faculty Research Fund, Sungkyunkwan University, 2000.
Rights and permissions
About this article
Cite this article
Kim, IS. Fixed point theorems for condensing admissible maps in topological vector spaces. Arch.Math. 80, 319–330 (2003). https://doi.org/10.1007/s00013-003-0477-x
Issue Date:
DOI: https://doi.org/10.1007/s00013-003-0477-x