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Convergence Analysis of SP-Iteration for G-Nonexpansive Mappings with Directed Graphs
- Issue Date
- Sep-2019
- Publisher
- MALAYSIAN MATHEMATICAL SCIENCES SOC
- Keywords
- SP-iteration; Common fixed point theorem; G-nonexpansive mapping; Directed graph
- Citation
- BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, v.42, no.5, pp 2361 - 2380
- Pages
- 20
- Indexed
- SCIE
SCOPUS
- Journal Title
- BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
- Volume
- 42
- Number
- 5
- Start Page
- 2361
- End Page
- 2380
- ISSN
- 0126-6705
2180-4206
- Abstract
- In this paper, we prove weak and strong convergence theorems of SP-iteration for common fixed point of three G-nonexpansive mappings in uniformly convex Banach spaces endowed with a directed graph under some suitable control conditions. We also give some numerical examples for confirming our main theorem and compare convergence rate between SP-iteration and Noor iteration.
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