A New Approximation Method for Common Fixed Points of a Finite Family of Generalized Asymptotically Quasinonexpansive Mappings in Banach Spaces | Zendy

Pornsak Yatakoat | Zendy; Suthep Suantai | Zendy

Open Access

A New Approximation Method for Common Fixed Points of a Finite Family of Generalized Asymptotically Quasinonexpansive Mappings in Banach Spaces

Author(s) -

Pornsak Yatakoat,

Suthep Suantai

Publication year - 2010

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 - 10.1155/2010/706587

Subject(s) - mathematics , banach space , fixed point , convergence (economics) , scheme (mathematics) , pure mathematics , discrete mathematics , mathematical analysis , economics , economic growth

We introduce a new iterative scheme to approximate a common fixed point for a finite family of generalized asymptotically quasinonexpansivemappings. Several strong and weak convergence theorems of the proposed iteration in Banach spaces are established. The main results obtianed in thispaper generalize and refine many known results in the current literature

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