CONVERGENCE OF A NEW MULTISTEP ITERATION IN CONVEX CONE METRIC SPACES

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Gunduz B.

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, cilt.32, sa.1, ss.39-46, 2017 (ESCI, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 32 Sayı: 1
• Basım Tarihi: 2017
• Doi Numarası: 10.4134/ckms.c160005
• Dergi Adı: COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
• Sayfa Sayıları: ss.39-46
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

In this paper, we propose a new multistep iteration for a finite family of asymptotically quasi-nonexpansive mappings in convex cone metric spaces. Then we show that our iteration converges to a common fixed point of this class of mappings under suitable conditions. Our result generalizes the corresponding result of Lee [5] from the closed convex subset of a convex cone metric space to whole space.