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A strong convergence theorem for equilibrium problems and split feasibility problems in Hilbert spaces

โœ Scribed by Tang, Jinfang; Chang, Shih-sen; Yuan, Fei


Book ID
125401662
Publisher
Springer International Publishing AG
Year
2014
Tongue
English
Weight
273 KB
Volume
2014
Category
Article
ISSN
1687-1820

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๐Ÿ“œ SIMILAR VOLUMES


Strong convergence theorem for a general
โœ Satoru Takahashi; Wataru Takahashi ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 228 KB

We introduce an iterative method for finding a common element of the set of solutions of a generalized equilibrium problem and the set of fixed points of a nonexpansive mapping in a Hilbert space and then obtain that the sequence converges strongly to a common element of two sets. Using this result,

Cyclic algorithms for split feasibility
โœ Fenghui Wang; Hong-Kun Xu ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 229 KB

The split common fixed point problem (SCFPP) is equivalently converted to a common fixed point problem of a finite family of class-T operators. This enables us to introduce new cyclic algorithms to solve the SCFPP and the multiple-set split feasibility problem.