The Conjugate Gradient Viscosity Approximation Algorithm for Split Generalized Equilibrium and Variational Inequality Problems

In this paper, we study a kind of conjugate gradient viscosity approximation algorithm for finding a common solution of split generalized equilibrium problem and variational inequality problem. Under mild conditions, we prove that the sequence generated by the proposed iterative algorithm converges...

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Bibliographic Details
Published in:Journal of function spaces Vol. 2018; no. 2018; pp. 1 - 14
Main Authors: Li, Meixia, Tan, Jingjing, Che, Haitao
Format: Journal Article
Language:English
Published: Cairo, Egypt Hindawi Publishing Corporation 01.01.2018
Hindawi
John Wiley & Sons, Inc
Wiley
Subjects:
Algorithms
Approximation
Banach spaces
Conjugates
Equality
Equilibrium
Feasibility studies
Inverse problems
Iterative algorithms
Iterative methods
Mathematical analysis
Methods
Numerical analysis
Viscosity
ISSN:2314-8896, 2314-8888
Online Access:Get full text
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Summary:In this paper, we study a kind of conjugate gradient viscosity approximation algorithm for finding a common solution of split generalized equilibrium problem and variational inequality problem. Under mild conditions, we prove that the sequence generated by the proposed iterative algorithm converges strongly to the common solution. The conclusion presented in this paper is the generalization, extension, and supplement of the previously known results in the corresponding references. Some numerical results are illustrated to show the feasibility and efficiency of the proposed algorithm.
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content type line 14
ISSN:2314-8896
2314-8888
DOI:10.1155/2018/8056276