Abstract
A block hybrid projection algorithm for solving the convex feasibility problem and the generalized equilibrium problems for an infinite family of total quasi-ϕ-asymptotically nonexpansive mappings is introduced. Under suitable conditions some strong convergence theorems are established in uniformly smooth and strictly convex Banach spaces with Kadec-Klee property. The results presented in the paper improve and extend some recent results.
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Communicated by Lixin Shen.
This work was supported by the Natural Science Foundation of Yunnan University of Fanance and Economics.
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Chang, Ss., Lee, H.W.J. & Chan, C.K. A block hybrid method for solving generalized equilibrium problems and convex feasibility problem. Adv Comput Math 38, 563–580 (2013). https://doi.org/10.1007/s10444-011-9249-5
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DOI: https://doi.org/10.1007/s10444-011-9249-5
Keywords
- Block iterative algorithm
- Convex feasibility problem
- Generalized equilibrium problem
- Total quasi-ϕ-asymptotically nonexpansive mapping
- Quasi-ϕ-nonexpansive mapping
- Relatively nonexpansive mapping
- Generalized projection