On Convergence Theorems for Generalized Alpha Nonexpansive Mappings in Banach Spaces | Zendy

Buthinah A. Bin Dehaish | Zendy; Rawan K. Alharbi | Zendy

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On Convergence Theorems for Generalized Alpha Nonexpansive Mappings in Banach Spaces

Author(s) -

Buthinah A. Bin Dehaish,

Rawan K. Alharbi

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/6652741

Subject(s) - banach space , mathematics , regular polygon , convergence (economics) , alpha (finance) , fixed point , scheme (mathematics) , iterative and incremental development , discrete mathematics , pure mathematics , mathematical analysis , computer science , statistics , psychometrics , construct validity , geometry , software engineering , economics , economic growth

The present paper seeks to illustrate approximation theorems to the fixed point for generalized α -nonexpansive mapping with the Mann iteration process. Furthermore, the same results are established with the Ishikawa iteration process in the uniformly convex Banach space setting. The presented results expand and refine many of the recently reported results in the literature.

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