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Abstract
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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

Received 4 June 1984; Revised 25 April 1985

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.