Geodesic
Pointwise Contraction Criteria for the Existence of Fixed Points
Canadian mathematical bulletin, Tome 21 (1978) no. 1, pp. 7-11

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DOI

We show that, in a complete metric space, every selfmap that is a “weak directional contraction” admits a fixed point.
DOI : 10.4153/CMB-1978-002-8
Mots-clés : 47H10, contraction, metric convexity, fixed point 
Clarke, Frank H. Pointwise Contraction Criteria for the Existence of Fixed Points. Canadian mathematical bulletin, Tome 21 (1978) no. 1, pp. 7-11. doi: 10.4153/CMB-1978-002-8
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