International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 4, Pages 663-667
doi:10.1155/S0161171285000722

On fixed points of set-valued directional contractions

Sehie Park

Department of Mathematics, Seoul National University, Seoul 151, South Korea

Abstract

Using equivalent formulations of Ekeland's theorem, we improve fixed point theorems of Clarke, Sehgal, Sehgal-Smithson, and Kirk-Ray on directional contractions by giving geometric estimations of fixed points.