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Article 2022 · 0 atıf

Convexity in <i>G</i>-metric spaces and approximation of fixed points by Mann iterative process

Yildirim, Isa, Khan, Safeer Hussain

Özet

In this paper, we first define the concept of convexity in G-metric spaces. We then use Mann iterative process in this newly defined convex G-metric space to prove some convergence results for some classes of mappings. In this way, we can extend several existence results to those approximating fixed points. Our results are just new in the setting.

Anahtar Kelimeler
Convex structure Convex G-metric space Mann iterative process convergence QUASI-NONEXPANSIVE MAPPINGS CONVERGENCE
WoS Kategorileri
Mathematics
Künye
Dergi
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS
Yıl
2022
Cilt
13
Sayı
1
Sayfa
1957-1964
ISSN
2008-6822
DOI
10.22075/ijnaa.2021.21435.2259
WoS UID
WOS:000781720500028
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