Strong convergence theorems for solutions of fixed point and variational inequality problems

Liu, Yu; Song, Jaewon

doi:10.1186/1029-242x-2014-215

J Inequal Appl

2014

DOI: 10.1186/1029-242x-2014-215

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Strong convergence theorems for solutions of fixed point and variational inequality problems

Yu Liu

Jaewon Song

Abstract: The purpose of this paper is to investigate viscosity approximation methods for finding a common element in the set of fixed points of a strict pseudocontraction and in the set of solutions of a generalized variational inequality in the framework of Banach spaces.

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2020

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Hybrid method for equilibrium problems and variational inclusions

Rezapour

Zakeri

2020

J Inequal Appl

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By providing a new iterative method our aim is finding a common element of the set of fixed points of two nonexpansive mappings, the set of solutions to a variational inclusion and the set of solutions of a generalized equilibrium problem in a real Hilbert space. We review the strong convergence of the new iterative method in the framework of Hilbert spaces. Finally, we show that our main result is a generalization for some known theorems in this field.

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Hybrid method for equilibrium problems and variational inclusions

Rezapour

Zakeri

2020

J Inequal Appl

View full text Add to dashboard Cite

show abstract

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Strong convergence theorems for solutions of fixed point and variational inequality problems

Abstract: The purpose of this paper is to investigate viscosity approximation methods for finding a common element in the set of fixed points of a strict pseudocontraction and in the set of solutions of a generalized variational inequality in the framework of Banach spaces.

Cited by 1 publication

References 15 publications

Hybrid method for equilibrium problems and variational inclusions

Hybrid method for equilibrium problems and variational inclusions

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