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A note on the approximation of fixed points in the Hilbert ball
We establish a strong convergence theorem for an iterative scheme which approximates fixed points of rho-nonexpansive self-mappings of the Hilbert ball....
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Projection and proximal point methods: convergence results and counterexamples
New counterexamples to norm convergence for iterates of firmly nonexpansive maps (/`a la Genel and Lindenstrauss)and for the proximal point algorithm (/`a la Güler) are provided....
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Genericity in nonexpansive mapping theory
We review the concepts of Baire´s categories, porosity, and null sets in metric and Banach spaces, and then illustrate the generic approach to nonlinear problems by presenting and discussing several simple examples of its applications to nonexpan...
BA - Obecná matematika
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
Asymptotic behavior of resolvents of coaccretive operators in the Hilbert ball
We study the resolvents of coaccretive operators in the Hilbert ball, with special emphasis on the asymptotic behavior of their compositions and metric convex combinations. We consider the case where the given coaccretive operators share a common fix...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Nonexpansive retracts in Banach spaces
We study various aspects of nonexpansive retracts and retractions in certain Banach and metric spaces, with special emphasis on the compact nonexpansive envelope property....
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A note on alternating projections in Hilbert space
We provide a direct proof of a result regarding the asymptotic behavior of alternating nearest point projections onto two closed and convex sets in a Hilbert space. Our arguments are based on nonexpansive mapping theory....
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
A mean ergodic theorem for nonlinear semigroups on the Hilbert ball
We establish a dual mean ergodic theorem for nonlinear continuous semigroups of nonexpansive self-mappings of the Hilbert ball.
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Reflexivity and approximate fixed points
We show that every infinite-dimensional Banach space contains an unbounded closed convex set, which has the approximate fixed point property for nonexpansive mappings....
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Approximating fixed points in the Hilbert ball
We establish a strong convergence theorem for an iterative algorithm that approximates fixed points of those self-mappings of the Hilbert ball which are nonexpansive with respect to the hyperbolic metric. We also prove an analogous ...
BA - Obecná matematika
- 2014 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A universal operator on the Gurarii space
We construct a nonexpansive linear operator on the Gurariî space that "captures" all nonexpansive linear operators between separable Banach spaces. Some additional properties involving its restrictions to finite-dimensional subspace...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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