Modified hybrid block iterative algorithm for convex feasibility problems and generalized equilibrium problems for uniformly quasi-\(\varphi \)-asymptotically nonexpansive mappings (Q1957572)
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scientific article; zbMATH DE number 5791617
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Modified hybrid block iterative algorithm for convex feasibility problems and generalized equilibrium problems for uniformly quasi-\(\varphi \)-asymptotically nonexpansive mappings |
scientific article; zbMATH DE number 5791617 |
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Modified hybrid block iterative algorithm for convex feasibility problems and generalized equilibrium problems for uniformly quasi-\(\varphi \)-asymptotically nonexpansive mappings (English)
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27 September 2010
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Summary: We introduce a modified block hybrid projection algorithm for solving convex feasibility problems for an infinite family of closed and uniformly quasi-\(\varphi \)-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 the Kadec-Klee property. The results presented in this paper improve and extend some recent results.
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modified block hybrid projection algorithm
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convex feasibility problems
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closed quasi-\(\varphi \)-asymptotically nonexpansive mappings
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strong convergence
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uniformly smooth Banach space
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