NDLI: A modified Mann iterative scheme by generalized f-projection for a countable family of relatively quasi-nonexpansive mappings and a system of generalized mixed equilibrium problems

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A modified Mann iterative scheme by generalized f-projection for a countable family of relatively quasi-nonexpansive mappings and a system of generalized mixed equilibrium problems

Content Provider	Semantic Scholar
Author	Saewan, Siwaporn Kumam, Poom
Copyright Year	2012
Abstract	The purpose of this paper is to introduce a new hybrid projection method based on modified Mann iterative scheme by the generalized f-projection operator for a countable family of relatively quasi-nonexpansive mappings and the solutions of the system of generalized mixed equilibrium problems. Furthermore, we prove the strong convergence theorem for a countable family of relatively quasi-nonexpansive mappings in a uniformly convex and uniform smooth Banach space. Finally, we also apply our results to the problem of finding zeros of B-monotone mappings and maximal monotone operators. The results presented in this paper generalize and improve some well-known results in the literature. 2000 Mathematics Subject Classification: 47H05; 47H09; 47H10.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://www.researchgate.net/profile/Poom_Kumam2/publication/233793873_A_modified_Mann_iterative_scheme_by_generalized_f-projection_for_a_countable_family_of_relatively_quasi-nonexpansive_mappings_and_a_system_of_generalized_mixed_equilibrium_problems/links/5492d26d0cf2302e1d0742e7.pdf
Alternate Webpage(s)	https://fixedpointtheoryandapplications.springeropen.com/track/pdf/10.1186/1687-1812-2011-104
Language	English
Access Restriction	Open
Subject Keyword	Convergence (action) Iterative method Kind of quantity - Equilibrium Mathematics Subject Classification Maximal set Solutions Uniformly convex space monotone
Content Type	Text
Resource Type	Article

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