A block hybrid method for solving generalized equilibrium problems and convex feasibility problem

A block hybrid method for solving generalized equilibrium problems and convex feasibility problem

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 uniforml...

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Veröffentlicht in:Advances in computational mathematics 2013-04, Vol.38 (3), p.563-580
Hauptverfasser: Chang, Shih-sen, Lee, H. W. Joseph, Chan, Chi Kin
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Banach space
Blocking
Computational Mathematics and Numerical Analysis
Computational Science and Engineering
Convergence
Feasibility
Mathematical analysis
Mathematical and Computational Biology
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Projection
Visualization
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Zusammenfassung: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.
ISSN:1019-7168
1572-9044
DOI:10.1007/s10444-011-9249-5