Hybrid Iteration Method for Fixed Points of Nonexpansive Mappings in Arbitrary Banach Spaces | Zendy

MO Osilike | Zendy; F. O. Isiogugu | Zendy; PU Nwokoro | Zendy

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Hybrid Iteration Method for Fixed Points of Nonexpansive Mappings in Arbitrary Banach Spaces

Author(s) -

MO Osilike,

F. O. Isiogugu,

PU Nwokoro

Publication year - 2008

Publication title -

fixed point theory and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.826

H-Index - 63

eISSN - 1687-1820

pISSN - 1687-1812

DOI - 10.1155/2007/64306

Subject(s) - banach space , fixed point , mathematics , monotonic function , hilbert space , iterative method , operator (biology) , pure mathematics , discrete mathematics , mathematical analysis , mathematical optimization , biochemistry , chemistry , repressor , transcription factor , gene

We prove that recent results of Wang (2007) concerning the iterative approximation of fixed points of nonexpansive mappings using a hybrid iteration method in Hilbert spaces can be extended to arbitrary Banach spaces without the strong monotonicity assumption imposed on the hybrid operator

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