scholarly journals Convergence analysis of a parallel projection algorithm for solving convex feasibility problems

2016 ◽  
Vol 6 (4) ◽  
pp. 505-519
Author(s):  
Jie Sun ◽  
Fanwen Meng ◽  
Yazheng Dang
Keyword(s):  
Convergence Analysis ◽  
Projection Algorithm ◽  
Parallel Projection ◽  
Convex Feasibility Problems ◽  
Convex Feasibility

scholarly journals Modified Hybrid Block Iterative Algorithm for Convex Feasibility Problems and Generalized Equilibrium Problems for Uniformly Quasi-ϕ-Asymptotically Nonexpansive Mappings

2010 ◽  
Vol 2010 ◽  
pp. 1-22 ◽  
Author(s):  
Siwaporn Saewan ◽  
Poom Kumam
Keyword(s):  
Equilibrium Problems ◽  
Nonexpansive Mappings ◽  
Infinite Family ◽  
Projection Algorithm ◽  
Strong Convergence Theorem ◽  
Convex Feasibility Problems ◽  
Asymptotically Nonexpansive Mappings ◽  
Convex Feasibility ◽  
Asymptotically Nonexpansive ◽  
Generalized Equilibrium

We introduce a modified block hybrid projection algorithm for solving the convex feasibility problems for an infinite family of closed and uniformly quasi-ϕ-asymptotically nonexpansive mappings and the set of solutions of the generalized equilibrium problems. We obtain a strong convergence theorem for the sequences generated by this process in a uniformly smooth and strictly convex Banach space with Kadec-Klee property. The results presented in this paper improve and extend some recent results.

Iterative approaches to convex feasibility problems in Banach spaces

2006 ◽  
Vol 64 (9) ◽  
pp. 2022-2042 ◽  
Author(s):  
John G. O’Hara ◽  
Paranjothi Pillay ◽  
Hong-Kun Xu
Keyword(s):  
Banach Spaces ◽  
Convex Feasibility Problems ◽  
Convex Feasibility
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