Positive Solutions and Mann Iterative Algorithms for a Second-Order Nonlinear Difference Equation
Joint Authors
Li, Xin
Kang, Shin Min
Kwun, Young Chel
Liu, Zeqing
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-04-03
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
This paper deals with the second-order nonlinear neutral delay difference equation Δ(anh(xn-τ1n,xn-τ2n,…,xn-τmn)Δ(xn-qnxn-τ0))+f(n,xn-σ1n,xn-σ2n,…,xn-σkn)=bn, n≥n0.
Using the Banach fixed point theorem, Mann iterative method with errors, and some new techniques, we prove the existence of uncountably many positive solutions and the convergence of the sequences generated by the Mann iterative method with errors relative to these solutions for the above equation.
Six examples are included.
Our results extend and improve essentially the known results in this field.
American Psychological Association (APA)
Liu, Zeqing& Li, Xin& Kang, Shin Min& Kwun, Young Chel. 2016. Positive Solutions and Mann Iterative Algorithms for a Second-Order Nonlinear Difference Equation. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-21.
https://search.emarefa.net/detail/BIM-1108656
Modern Language Association (MLA)
Liu, Zeqing…[et al.]. Positive Solutions and Mann Iterative Algorithms for a Second-Order Nonlinear Difference Equation. Journal of Function Spaces No. 2016 (2016), pp.1-21.
https://search.emarefa.net/detail/BIM-1108656
American Medical Association (AMA)
Liu, Zeqing& Li, Xin& Kang, Shin Min& Kwun, Young Chel. Positive Solutions and Mann Iterative Algorithms for a Second-Order Nonlinear Difference Equation. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-21.
https://search.emarefa.net/detail/BIM-1108656
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108656