Strong convergence of a new iterative scheme for a finite family of strict pseudo-contractions

DOI10.1016/j.camwa.2010.05.016zbMath1201.65088OpenAlexW2018694501MaRDI QIDQ611356

Atid Kangtunyakarn, Suthep Suantai

Publication date: 14 December 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.05.016

zbMATH Keywords

fixed pointsiterative schemestrict pseudo-contractions\(S\)-mapping

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Strong convergence theorem for the modified generalized equilibrium problem and fixed point problem of strictly pseudo-contractive mappings ⋮ Strong convergence theorem for a common fixed point of a finite family of strictly pseudo-contractive mappings and a strictly pseudononspreading mapping ⋮ Hybrid iterative scheme for a generalized equilibrium problems, variational inequality problems and fixed point problem of a finite family of \(\kappa_i\)-strictly pseudocontractive mappings ⋮ Unnamed Item ⋮ Common fixed points of a family of strictly pseudocontractive mappings ⋮ Iterative approximation of common element of solution sets of various nonlinear operator problems ⋮ On some auxiliary mappings generated by nonexpansive and strictly pseudo-contractive mappings ⋮ An iterative algorithm to approximate a common element of the set of common fixed points for a finite family of strict pseudo-contractions and of the set of solutions for a modified system of variational inequalities ⋮ On the auxiliary mappings generated by a family of mappings and solutions of variational inequalities problems

Cites Work

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• Strong convergence and certain control conditions for modified Mann iteration
• Strong convergence of the CQ method for fixed point iteration processes
• Fixed points of nonexpanding maps
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