Convergence theorems for generalized mixed equilibrium and variational inclusion problems of strict-pseudocontractive mappings
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Author list: Onjai-Uea N., Kumam P.
Publisher: Springer
Publication year: 2013
Journal: Bulletin of the Malaysian Mathematical Sciences Society (0126-6705)
Volume number: 36
Issue number: 4
Start page: 1049
End page: 1070
Number of pages: 22
ISSN: 0126-6705
eISSN: 2180-4206
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we introduce and analyze a new iterative algorithm for finding a common element of the set of fixed points of strictly-pseudocontractive, the set of common solutions of generalized mixed equilibrium problems and the set of common solutions of the variational inclusion with inverse-strongly accretive mappings in Banach spaces. Using our new iterative scheme, we prove strong convergence theorems for approximation of common element of the three above mentioned sets. The results obtained in this paper extend the corresponding results announced by many authors and the previously known results in this area.
Keywords
Inversestrongly accretive mapping, Strictly-pseudocontractive mapping
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