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Mathematica Moravica
2015, vol. 19, br. 2, str. 49-64
jezik rada: engleski
vrsta rada: neklasifikovan
doi:10.5937/MatMor1502049G


On weak and strong convergence theorems for a finite family of nonself I-asymptotically nonexpansive mappings
(naslov ne postoji na srpskom)
aDepartment of Mathematics, Faculty of Science and Art, Erzincan University, Erzincan, Turkey
bDepartment of Mathematics, Faculty of Science, Ataturk University, Erzurum, Turkey

e-adresa: birolgndz@gmail.com, sezginakbulut@atauni.edu.tr

Sažetak

(ne postoji na srpskom)
We prove the weak and strong convergence of S iterative scheme to a common fixed point of a family of nonself asymptotically I-nonexpansive mappings {Ti}Ni i and a family of nonself asymptotically nonexpansive mappings {Ii}Ni i defined on a nonempty closed convex subset of a Banach space. Our scheme converges faster than Mann and Ishikawa iteration for contractions. Our weak convergence theorem is proved under more general setup of space as different from weak convergence theorems proved in previously.

Ključne reči

nonself asymptotically I-nonexpansive mappings; Iterative scheme; Kadec-Klee property; condition (B); common fixed point

Reference

Naknadno pridodat članak: provera, normiranje i linkovanje referenci u toku.
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