Convergence theorems of subgradient extragradient algorithm for solving variational inequalities and a convex feasibility problem

Let C be a nonempty closed and convex subset of a uniformly smooth and 2-uniformly convex real Banach space E with dual space E ∗ . In this paper, a Krasnoselskii-type subgradient extragradient iterative algorithm is constructed and used to approximate a common element of solutions of variational in...

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Bibliographic Details
Published in:	Fixed point theory and algorithms for sciences and engineering Vol. 2018; no. 1; pp. 1 - 14
Main Authors:	Chidume, C. E., Nnakwe, M. O.
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 18.06.2018 Springer Nature B.V SpringerOpen
Subjects:	Analysis Applications of Mathematics Banach spaces Differential Geometry Fixed points (mathematics) Iterative algorithms Iterative Methods and Optimization Algorithms: A Dedication to Dr. Hong-Kun Xu Mathematical and Computational Biology Mathematics Mathematics and Statistics Relatively nonexpansive maps Subgradient extragradient algorithm Theorems Topology Variational inequality 47H10 47J20 Variational inequality 47H09 Relatively nonexpansive maps 47J05 Subgradient extragradient algorithm 47J25
ISSN:	1687-1812, 1687-1812, 2730-5422
Online Access:	Get full text
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