Approximating fixed points of $$\left( \lambda ,\rho \right) $$λ,ρ-firmly nonexpansive mappings in modular function spaces

Approximating fixed points of $$\left( \lambda ,\rho \right) $$λ,ρ-firmly nonexpansive mappings in modular function spaces
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逼近模函数空间中 $$left( lambda , ho ight) $$λ,ρ-固定非扩张映射的不动点

DOI:
10.1007/s40065-018-0204-x
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发表时间:
2018
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通讯作者:
S. H. Khan
S. H. Khan
中科院分区:
--
文献类型:
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作者:
S. H. Khan

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在本文中,我们首先引入模函数空间中的迭代过程,然后将非扩张映射的思想从 Banach 空间扩展到模函数空间。我们将这种映射称为严格非扩张映射。我们结合这两种想法,使用模函数空间中的上述迭代过程来近似固定非扩张映射的不动点。
In this paper, we first introduce an iterative process in modular function spaces and then extend the idea of a-firmly nonexpansive mapping from Banach spaces to modular function spaces. We call such mappings as-firmly nonexpansive mappings. We incorporate the two ideas to approximate fixed points of-firmly nonexpansive mappings using the above-mentioned iterative process in modular function spaces.