Viscosity approximations with weak contraction for finding a common solution of fixed points and a general system of variational inequalities for two accretive operators (Q2912657)
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scientific article; zbMATH DE number 6082913
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Viscosity approximations with weak contraction for finding a common solution of fixed points and a general system of variational inequalities for two accretive operators |
scientific article; zbMATH DE number 6082913 |
Statements
14 September 2012
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inverse-strongly accretive operator
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fixed point
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general system of variational inequalities
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modified viscosity extragradient approximation method
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sunny nonexpansive retraction
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weak contraction
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Viscosity approximations with weak contraction for finding a common solution of fixed points and a general system of variational inequalities for two accretive operators (English)
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The main result of the paper under review establishes a strong convergence theorem for solutions of a general system of variational inequalities involving two different inverse-strongly accretive operators and solutions of fixed point problems involving nonexpansive mappings in a Banach space. The proof combines a modified viscosity extragradient method with weak contraction arguments. The results developed in this paper can be applied to find solutions of equations involving accretive operators and \(k\)-strictly pseudo-contractive mappings.
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