Journal
FIXED POINT THEORY AND APPLICATIONS
Volume -, Issue -, Pages -Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1186/s13663-015-0448-5
Keywords
split equilibrium problem; asymptotically nonexpansive mapping; fixed point problem; Hilbert space
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Funding
- Deanship of Scientific Research (DSR), King Abdulaziz University [18-130-36-HiCi]
- DSR
- Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Science, ICT and Future Planning [2014R1A2A2A01002100]
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In this paper, we propose a new iterative sequence for solving common problems which consist of split equilibrium problems and fixed point problems for asymptotically nonexpansive mappings in the framework of Hilbert spaces and prove some strong convergence theorems of the generated sequence {x(n)} by the shrinking projection method. Our results improve and extend the previous results given in the literature.
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