Abstract and Applied Analysis
Volume 2003 (2003), Issue 2, Pages 111-119
doi:10.1155/S1085337503205017
Measure of nonhyperconvexity and fixed-point theorems
Dariusz Bugajewski1
and Rafael Espínola2
1Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Matejki 48/49, Poznań 60-769, Poland
2Departmento de Análisis Matemático, Facultad de Matematicas, Universidad de Sevilla, P.O. Box 1160, Sevilla 41080, Spain
Abstract
The aim of this paper is to work with the measure of nonhyperconvexity in a similar way as J. Cano (1990) does with the index of nonconvexity. We apply this measure to obtain different extensions of the famous Schauder fixed-point theorem in hyperconvex spaces.