Two-Step Viscosity Approximation Scheme for Variational Inequality in Banach Spaces
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-24
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper introduces and analyzes a viscosity iterative algorithm for an infinite family of nonexpansive mappings { T i } i = 1 ∞ in the framework of a strictly convex and uniformly smooth Banach space.
It is shown that the proposed iterative method converges strongly to a common fixed point of { T i } i = 1 ∞ , which solves specific variational inequalities.
Necessary and sufficient convergence conditions of the iterative algorithm for an infinite family of nonexpansive mappings are given.
Results shown in this paper represent an extension and refinement of the previously known results in this area.
American Psychological Association (APA)
Yang, Liping& Kong, Weiming. 2014. Two-Step Viscosity Approximation Scheme for Variational Inequality in Banach Spaces. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1013645
Modern Language Association (MLA)
Yang, Liping& Kong, Weiming. Two-Step Viscosity Approximation Scheme for Variational Inequality in Banach Spaces. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1013645
American Medical Association (AMA)
Yang, Liping& Kong, Weiming. Two-Step Viscosity Approximation Scheme for Variational Inequality in Banach Spaces. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1013645
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013645
