| Yazarlar |
Chris Lennard
Türkiye |
Doç. Dr. Veysel NEZİR
Kafkas Üniversitesi, Türkiye |
| Özet |
| We study xed point theory for semi-strongly asymptotically nonexpansive and strongly asymptotically nonexpansive mappings. We consider these mappings for renormings of l 1 and c0, and show that l 1 cannot be equivalently renormed to have the xed point property for semi-strongly asymptotically nonexpansive mappings, while c0 cannot be equivalently renormed to have the xed point property for strongly asymptotically nonexpansive mappings. Next and more importantly, we show reexivity is equivalent to the xed point property for ane semi-strongly asymptotically nonexpansive mappings in Banach lattices. Finally, we give an application of our results in Lorentz-Marcinkiewicz spaces l 0 w,∞, and some examples of these new types of mappings associated with a large class of c0-summing basic sequences in c0. |
| Anahtar Kelimeler |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS |
| Dergi ISSN | 1303-5010 |
| Dergi Tarandığı Indeksler | SCI |
| Makale Dili | İngilizce |
| Basım Tarihi | 08-2017 |
| Cilt No | 46 |
| Sayı | 4 |
| Sayfalar | 613 / 620 |
| Doi Numarası | 10.15672/HJMS.20174620775 |
| Atıf Sayıları | |
| TRDizin | 1 |
