Iterative Algorithm andΔ-Convergence Theorems for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces | Zendy

Jinfang Tang | Zendy; S.S. Chang | Zendy; Joseph H. W. Lee | Zendy; Chi Kin Chan | Zendy

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Iterative Algorithm andΔ-Convergence Theorems for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces

Author(s) -

Jinfang Tang,

S.S. Chang,

Joseph H. W. Lee,

Chi Kin Chan

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/965751

Subject(s) - algorithm , convergence (economics) , mathematics , economics , economic growth

The main purpose of this paper is first to introduce the concept of total asymptoticallynonexpansive mappings and to prove a Δ-convergence theorem for finding a common fixed point of the total asymptotically nonexpansive mappings and the asymptoticallynonexpansive mappings. The demiclosed principle for this kind of mappings in CAT(0) space is also proved in the paper. Our results extend and improve many results in the literature

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