Two block hybrid projection method for solving a common solution for a system of generalized equilibrium problems and fixed point problems for two countable families
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Author list: Phuangphoo P., Kumam P.
Publisher: Springer
Publication year: 2013
Journal: Optimization Letters (1862-4472)
Volume number: 7
Issue number: 8
Start page: 1745
End page: 1763
Number of pages: 19
ISSN: 1862-4472
eISSN: 1862-4480
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we introduce a new iterative sequence which is constructed by using the new modified two block hybrid projection method for solving the common solution problem for a system of generalized equilibrium problems of inverse strongly monotone mappings and a system of bifunctions satisfying certain conditions, and the common fixed point problems for families of uniformly quasi -φ{symbol}- asymptotically nonexpansive and locally uniformly Lipschitz continuous. Strong convergence theorems are proved on approximating a common solution of a system of generalized equilibrium problems and fixed point problems for two countable families in Banach spaces. Our results presented in this paper improve and extend many recent results in this area. © 2012 Springer-Verlag.
Keywords
Common solution, Iterative sequence, Two block hybrid projection method
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