| Yazarlar |
Doç. Dr. Veysel NEZİR
Kafkas Üniversitesi, Türkiye |
Hemen Dutta
Türkiye |
|
Merve Yazici
Türkiye |
| Özet |
| Recently, Nezir has renormed ` 1 and observed that the resulting space turnsout be a degenerate Lorentz-Marcinkiewicz space. Then, fixed point properties have beeninvestigated for the space, its dual and its predual. Also, inspiring from the study ofGoebel and Kuczumow, as they showed for the Banach space of absolutely summable sequences ` 1 , Nezir showed that a class of non-weak* compact, closed, convex and bounded sets in one of these spaces has the fixed point property for affine nonexpansive mappings. In fact, very recently, generalizing the equivalent norm on ` 1 , Nezir and Mustafa obtained new type of degenerate Lorentz-Marcinkiewicz spaces with their fixed point properties and got the analogy of Goebel and Kuczumow’s for the resulting space. In this paper, we show that there exists large classes of non-weak* compact, closed, convex and bounded sets with the fixed point property for affine nonexpansive mappings in the generalized degenerate Lorentz-Marcinkiewicz space. |
| Anahtar Kelimeler |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | ESCI dergilerinde yayımlanan tam makale |
| Dergi Adı | TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS |
| Dergi ISSN | 2146-1147 |
| Dergi Tarandığı Indeksler | ESCI |
| Makale Dili | İngilizce |
| Basım Tarihi | 12-2020 |
| Cilt No | 10 |
| Sayfalar | 85 / 96 |
| Makale Linki | https://acikerisim.isikun.edu.tr/xmlui/bitstream/handle/11729/2880/vol.10-Special_Issue-10.pdf?sequence=1&isAllowed=y |
