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Mostrando ítems 1-10 de 28
Artículo
Connections between some measures of non-compactness and associated operators
(Universidad de Extremadura, 1990)
Some relationships between the Kuratowski's measure of noncompactness, the ball measure of noncompactness and the d-separation of the points of a set are studied in special classes of Banach spaces. These relations are ...
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
Iterative algorithms for nonexpansive mappings on Hadamard manifolds
(The Mathematical Society of the Republic of China, 2010-04)
Two iterative algorithms for nonexpansive mappings on Hadamard manifolds, which are extensions of the well-known Halpern's and Mann's algorithms in Euclidean spaces, are proposed and proved to be convergent to a fixed ...
Artículo
The proximal point method for locally lipschitz functions in multiobjective optimization with application to the compromise problem
(Society for Industrial and Applied Mathematics, 2018)
This paper studies the constrained multiobjective optimization problem of finding Pareto critical points of vector-valued functions. The proximal point method considered by Bonnel, Iusem, and Svaiter [SIAM J. Optim., 15 ...
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
Browder's convergence for uniformly asymptotically regular nonexpansive semigroups in Hilbert spaces
(Springer Open, 2010)
We give a sufficient and necessary condition concerning a Browder’s convergence type theorem for uniformly asymptotically regular one-parameter nonexpansive semigroups in Hilbert spaces.
Artículo
Best simultaneous approximation to totally bounded sequences in Banach spaces
(Springer, 2008-09)
This paper is concerned with the problem of best weighted simultaneous approximations to totally bounded sequences in Banach spaces. Characterization results from convex sets in Banach spaces are established under the ...
Artículo
Remarks on multivalued nonexpansive mappings
(Soochow University, 1995-01)
Convergence of fixed point sets of multivalued nonexpansive mappings is studied under both the Mosco and Hausdorff senses. A characterization for *- nonexpansive multivalued mappings is given. Also a counterexample is ...
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
Equilibrium problems on Riemannian manifolds with applications
(Elsevier, 2019-05-15)
We study the equilibrium problem on general Riemannian manifolds. The results on existence of solutions and on the convex structure of the solution set are established. Our approach consists in relating the equilibrium ...