Implicit and explicit constructions of sunny nonexpansive retractions in Banach spaces

• Autorzy: Aleyner A. , Reich S.
• Języki publikacji: EN

Abstrakty

EN

Implicit and explicit processes for eonstructing the unique sunny nonexpansive retraction onto the common fixed point set of either a finite or infmite family of nonexpansive mappings in a Banach space are proposed and corresponding convergence theorems are established.

Słowa kluczowe

EN

common fixed point; nonexpansive mapping; seguential algorithmic scheme sunny; nonexpansive retraction; uniformly Gateaux differentiable norm

PL

punkt stały odwzorowania; punkt wspólny odwzorowania; odwzorowanie nieekspansywne; program sekwencyjny; algorytm sekwencyjny; retrakcja; retrakcja nieekspansywna; norma funkcji; norma funkcji jednostajnie różniczkowalna

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2007
• Tom: Vol. 29
• Strony: 5--16
• Opis fizyczny: Bibliogr. 26 poz.

Twórcy

autor

Aleyner A.

autor

Reich S.

• Department of Mathematics The Technion - Israel Institute of Technology 32000 Haifa, Israel,

Bibliografia

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• [3] A. Aleyner and S. Reich, A note on explicit iterative constructions of sunny nonexpansive retractions in Banach spaces, Journal of Nonlinear and Convex Analysis, 6: 525-533, 2005.
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