New Iterative Algorithm for Two Infinite Families of Multivalued Quasi-Nonexpansive Mappings in Uniformly Convex Banach Spaces | Zendy

Fang Zhang | Zendy; Huan Zhang | Zendy; Yulong Zhang | Zendy

Open Access

New Iterative Algorithm for Two Infinite Families of Multivalued Quasi-Nonexpansive Mappings in Uniformly Convex Banach Spaces

Author(s) -

Fang Zhang,

Huan Zhang,

Yulong Zhang

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/649537

Subject(s) - mathematics , banach space , regular polygon , countable set , convergence (economics) , fixed point , scheme (mathematics) , uniformly convex space , pure mathematics , discrete mathematics , mathematical analysis , eberlein–šmulian theorem , lp space , geometry , economics , economic growth

We introduce a new iterative scheme for finding a common fixed point of two countable families of multivalued quasi-nonexpansive mappings and prove a weak convergence theorem under the suitable control conditions in a uniformly convex Banach space. We also give a new proof method to the iteration in the paper of Abbas et al. (2011)

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