A strong convergence theorem for equilibrium problems and split feasibility problems in Hilbert spaces
โ 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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๐ SIMILAR VOLUMES
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,
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.