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Dergiler / New Trends in Mathematical Sciences / 2026 / Cilt: 5 Sayı: 2

A new two step iterative scheme for a finite family of nonself I-asymptotically nonexpansive mappings in Banach space

Birol Gunduz(ERZINCAN UNIVERSITY)
Sayfa
16–28
Yayın Tarihi
2017-03-30
DOI
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It presents some new results in this paper.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Let E be a real uniformly convex Banach space, K be a nonempty closed convex subset of E and let Ti : K → E be N  Ii-asymptotically nonexpansive nonself mappings and Ii be N asymptotically nonexpansive nonself mappings.
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Temel Bulgular & Veri:It is proved that a new  two step iterative algorithm converges weakly to a q ∈ F in a real uniformly convex Banach space such that its dual has the Kadec-Klee  property and strongly under condition (B) in a real uniformly convex Banach space.
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Sonuç & Katkı:It presents some new results in this paper.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Nonself I-asymptotically nonexpansive mapping · Fr´echet differentiable norm · Opial property

Abstract

Let E be a real uniformly convex Banach space, K be a nonempty closed convex subset of E and let Ti : K → E be N  Ii-asymptotically nonexpansive nonself mappings and Ii be N asymptotically nonexpansive nonself mappings. It is proved that a new  two step iterative algorithm converges weakly to a q ∈ F in a real uniformly convex Banach space such that its dual has the Kadec-Klee  property and strongly under condition (B) in a real uniformly convex Banach space. It presents some new results in this paper.

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Bu Makaleye Atıf Yap

Gunduz, B. (2017). A new two step iterative scheme for a finite family of nonself I-asymptotically nonexpansive mappings in Banach space. New Trends in Mathematical Sciences, Cilt: 5 Sayı: 2, 16–28. https://ajindex.com/articles/1657663

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Kaynakça (27)

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