Convergence and stability of iterative algorithms for mixed equilibrium problems and fixed point problems in Banach spaces (Q2843778)
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scientific article; zbMATH DE number 6201363
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence and stability of iterative algorithms for mixed equilibrium problems and fixed point problems in Banach spaces |
scientific article; zbMATH DE number 6201363 |
Statements
26 August 2013
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nonlinear generalized mixed implicit equilibrium problem
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nearly uniformly Lipschitzian mapping
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Yosida approximation
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generalized Wiener-Hopf equation
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fixed point
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iterative algorithm
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uniformly smooth Banach space
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0.96129584
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0.9484973
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0.93662775
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0.9303074
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0.93005913
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0.9293638
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0.92924374
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0.9267425
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Convergence and stability of iterative algorithms for mixed equilibrium problems and fixed point problems in Banach spaces (English)
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In this paper, a system of generalized mixed implicit equilibrium problems in \(q\)-uniformly smooth Banach spaces is considered. The equivalence between this problem and a system of generalized Wiener-Hopf equations is also provided. Further, a fixed point formulation of this problem is obtained and used to establish the existence of solutions. An iterative algorithm that converges to a solution of this problem is also introduced and studied.
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