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{symbol}-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.
Original language | English |
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Pages (from-to) | 563-580 |
Number of pages | 18 |
Journal | Advances in Computational Mathematics |
Volume | 38 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Jan 2013 |
Keywords
- Block iterative algorithm
- Convex feasibility problem
- Generalized equilibrium problem
- Generalized projection
- Quasi-φ{symbol}-nonexpansive mapping
- Relatively nonexpansive mapping
- Total quasi-φ{symbol}-asymptotically nonexpansive mapping
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics