A block hybrid method for solving generalized equilibrium problems and convex feasibility problem |
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| Authors: | Shih-sen Chang H. W. Joseph Lee Chi Kin Chan |
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| Affiliation: | 1. Department of Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan, 650221, China
2. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hongkong, Hongkong
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| Abstract: | A block hybrid projection algorithm for solving the convex feasibility problem and the generalized equilibrium problems for an infinite family of total quasi-?-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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