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Mostrando ítems 1-4 de 4
Artículo
A fixed point theorem for weakly Zamfirescu mappings
(Elsevier, 2011-03-01)
In [13] T. Zamfirescu, Fixed point theorems in metric spaces, Arch. Math. 23 (1972), 292–298. Zamfirescu gave a fixed point theorem that generalizes the classical fixed point theorems by Banach, Kannan and Chatterjea. In ...
Artículo
Rate of convergence under weak contractiveness conditions
(Casa Cartii de Stiinta, 2013)
We introduce a new class of selfmaps T of metric spaces, which generalizes the weakly Zamfirescu maps (and therefore weakly contraction maps, weakly Kannan maps, weakly Chatterjea maps and quasi-contraction maps with ...
Artículo
Firmly nonexpansive mappings in classes of geodesic spaces
(American Mathematical Society, 2014)
Firmly nonexpansive mappings play an important role in metric fixed point theory and optimization due to their correspondence with maximal monotone operators. In this paper we do a thorough study of fixed point theory and ...
Artículo
The asymptotic behavior of the composition of firmly nonexpansive mappings
(Springer, 2015-11)
In this paper we provide a unified treatment of some convex minimization problems, which allows for a better understanding and, in some cases, improvement of results in this direction proved recently in spaces of curvature ...