Mixed Type Algorithms for Asymptotically Nonexpansive Mappings in Hyperbolic Spaces | Zendy

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Mixed Type Algorithms for Asymptotically Nonexpansive Mappings in Hyperbolic Spaces

Author(s) -

Tanakit Thianwan

Publication year - 2021

Publication title -

european journal of pure and applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.245

H-Index - 5

ISSN - 1307-5543

DOI - 10.29020/nybg.ejpam.v14i3.4005

Subject(s) - mathematics , regular polygon , convergence (economics) , type (biology) , fixed point , pure mathematics , discrete mathematics , mathematical analysis , geometry , ecology , economics , biology , economic growth

In this paper, a new mixed type iteration process for approximating a common fixed point of two asymptotically nonexpansive self-mappings and two asymptotically nonexpansive nonself-mappings is constructed. We then establish a strong convergence theorem under mild conditions in a uniformly convex hyperbolic space. The results presented here extend and improve some related results in the literature.

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