Convergence theorems for strict pseudo-contractions in CAT(0) metric spaces | Zendy

Amir Gharajelo | Zendy; Hossein Dehghan | Zendy

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Convergence theorems for strict pseudo-contractions in CAT(0) metric spaces

Author(s) -

Amir Gharajelo,

Hossein Dehghan

Publication year - 2017

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1707967g

Subject(s) - mathematics , convergence (economics) , metric space , metric (unit) , pure mathematics , modes of convergence (annotated index) , discrete mathematics , topological space , topological vector space , isolated point , operations management , economics , economic growth

In this paper, we introduce the notion of strict pseudo-contractive mappings in the framework of CAT(0) metric spaces. Some properties of such mappings including demiclosed principle are investigated. Also, strong convergence and $\Delta$-convergence of the well-known Mann iterative algorithm is established for strict pseudo-contractive mappings.

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