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Dynamics of Hilbert nonexpansive maps [PDF]

open access: yes, 2014
In his work on the foundations of geometry, Hilbert observed that a formula which appeared in works by Beltrami, Cayley, and Klein, gives rise to a complete metric on any bounded convex domain. Some decades later, Garrett Birkhoff and Hans Samelson noted that this metric has interesting applications, when considering certain maps of convex cones that ...
openaire   +3 more sources

Convergence of Hybrid Fixed Point for a Pair of Nonlinear Mappings in Banach Spaces

open access: yesInternational Journal of Analysis and Applications, 2015
In this paper, we study hybrid fixed point of a modified two-step iteration process with errors for a pair of asymptotically quasi-nonexpansive mapping and asymptotically quasi-nonexpansive mapping in the intermediate sense in the framework of Banach ...
G. S. Saluja
doaj   +2 more sources

An Averaged Halpern-Type Algorithm for Solving Fixed-Point Problems and Variational Inequality Problems

open access: yesAxioms
In this paper, we propose and study an averaged Halpern-type algorithm for approximating the solution of a common fixed-point problem for a couple of nonexpansive and demicontractive mappings with a variational inequality constraint in the setting of a ...
Vasile Berinde, Khairul Saleh
doaj   +1 more source

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