On faster implicit hybrid Kirk-multistep schemes for contractive-type operators
type: Item
instance of: scholarly article
title: On faster implicit hybrid Kirk-multistep schemes for contractive-type operators
zbMATH Open document ID: 1355.65073
DOI: 10.1155/2016/3791506
author: O. T. Wahab
author: K. Rauf
published in: International Journal of Analysis
publication date: 2017-01-05T00:00:00Z
review text: Summary: The purpose of this paper is to prove strong convergence and \(T\)-stability results of some modified hybrid Kirk-multistep iterations for contractive-type operator in normed linear spaces. Our results show through analytical and numerical approach that the modified hybrid schemes are better in terms of convergence rate than other hybrid Kirk-multistep iterative schemes in the literature.
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 6670777
zbMATH Keywords: strong convergence
zbMATH Keywords: \(T\)-stability
zbMATH Keywords: Kirk-multistep iterations
zbMATH Keywords: contractive-type operator
Wikidata QID: Q59123910
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/3791506
OpenAlex ID: W2523536951
cites work: Strong convergence and stability of Kirk-multistep-type iterative schemes for contractive-type operators
cites work: Q4448905
cites work: Q4680155
cites work: Stability of Picard iteration for contractive mappings satisfying an implicit relation
cites work: On a new faster implicit fixed point iterative scheme in convex metric spaces
cites work: Convergence theorems for a sequence of Ishikawa iterations for nonlinear quasi-contractive mappings
cites work: On Mann implicit iterations for strongly accretive and strongly pseudo-contractive mappings
cites work: Q3070749
cites work: Mean Value Methods in Iteration
cites work: Fixed Points by a New Iteration Method
cites work: New approximation schemes for general variational inequalities
cites work: The equivalence between Mann-Ishikawa iterations and multistep iteration
cites work: Common fixed points of new iterations for two asymptotically nonexpansive nonself-mappings in a Banach space
cites work: On the rate of convergence of Mann, Ishikawa, Noor and SP-iterations for continuous functions on an arbitrary interval
cites work: Data dependence results of new multi-step and S-iterative schemes for contractive-like operators
cites work: Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators
cites work: The convergence of implicit Mann and Ishikawa iterations for weak generalized \({\varphi}\)-hemicontractive mappings in real Banach spaces
cites work: Q5314078
cites work: A Fixed Point Theorem for Mappings which do not Increase Distances
cites work: On the rate of convergence of Kirk-type iterative schemes
cites work: Fixed point theorems in metric spaces
cites work: Fixed point theorems and stability results for fixed point iteration procedures. II
description: scientific article; zbMATH DE number 6670777