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- W2590216466 abstract "Abstract We consider a new type of monotone nonexpansive mappings in an ordered Banach space X with partial order ⪯. This new class of nonlinear mappings properly contains nonexpansive, firmly-nonexpansive and Suzuki-type generalized nonexpansive mappings and partially extends α -nonexpansive mappings. We obtain some existence theorems and weak and strong convergence theorems for the Mann iteration. Some useful examples are presented to illustrate the facts." @default.
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- W2590216466 date "2017-02-23" @default.
- W2590216466 modified "2023-10-03" @default.
- W2590216466 title "Generalized α-nonexpansive mappings in Banach spaces" @default.
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- W2590216466 doi "https://doi.org/10.1186/s13663-017-0597-9" @default.
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