Geodesic
Fixed Point Principles for Cones of a Banach Space for the Multivalued Maps Differentiable at the Origin and Infinity
Canadian journal of mathematics, Tome 44 (1992) no. 4, pp. 888-896

Voir la notice de l'article provenant de la source Cambridge University Press

In [6] and [7], Krasnosel'skiĭ proved several fundamental fixed point principles for operators leaving invariant a cone in a Banach space. In [9], Nussbaum extended one of the results, the theorem about compression and expansion of a cone, to k-setcontraction maps, k < 1. Other versions for completely continuous maps were given by Fournier-Peitgen [2] and G. Fournier [1].The purpose of this paper is to generalise some of these results to upper semi continuous multivalued maps which are K-set contractions, k < 1, and differentiable at the origin and infinity.
DOI : 10.4153/CJM-1992-054-0
Mots-clés : 47H09, 54C60, 54H25, Fixed point, nonexpansive mapping, invariant mean, nonlinear ergodic theorem 
Violette, Donald; Fournier, Gilles. Fixed Point Principles for Cones of a Banach Space for the Multivalued Maps Differentiable at the Origin and Infinity. Canadian journal of mathematics, Tome 44 (1992) no. 4, pp. 888-896. doi: 10.4153/CJM-1992-054-0
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