Araştırma Makalesi
Yıl 2014,
Cilt: 43 Sayı: 4, 561 - 569, 01.08.2014
Öz
In this paper we prove two fixed point theorems in compact cone metric
spaces over normal cones. The first theorem generalizes Edelstein theorem [8] and is different from the generalization obtained in [11]. The
second theorem generalizes the main result in [10] and the first theorem.
However, the two theorems fail in different categories. Moreover, different versions of the two theorems are proved in TVS-cone metric spaces
by making use of the nonlinear scalarization function used very recently
by Wei-Shih Du in [A note on cone metric fixed point theory and its
equivalence, Nonlinear Analysis,72(5),2259-2261 (2010).] to prove the
equivalence of the Banach contraction principle in cone metric spaces
and usual metric spaces
spaces over normal cones. The first theorem generalizes Edelstein theorem [8] and is different from the generalization obtained in [11]. The
second theorem generalizes the main result in [10] and the first theorem.
However, the two theorems fail in different categories. Moreover, different versions of the two theorems are proved in TVS-cone metric spaces
by making use of the nonlinear scalarization function used very recently
by Wei-Shih Du in [A note on cone metric fixed point theory and its
equivalence, Nonlinear Analysis,72(5),2259-2261 (2010).] to prove the
equivalence of the Banach contraction principle in cone metric spaces
and usual metric spaces
Anahtar Kelimeler
cone metric normal cone strictly normal cone fixed point contractive condition. TVS-cone metric space
Kaynakça
- . . .
Toplam 1 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Bölüm | Matematik |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Ağustos 2014 |
| Yayımlandığı Sayı | Yıl 2014 Cilt: 43 Sayı: 4 |