Convergence of a generalized iteration process for two finite families of Lipschitzian pseudocontractive mappings

DOI10.1016/J.MCM.2010.10.007zbMath1217.65103OpenAlexW1969779764MaRDI QIDQ552062

Isa Yildirim, Safeer Hussain Khan, Murat Ozdemir

Publication date: 21 July 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.10.007

zbMATH Keywords

common fixed pointsstrong and weak convergenceiteration processLipschitzian pseudocontractive mappings

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (5)

A three-step iterative scheme for solving nonlinear \(\phi\)-strongly accretive operator equations in Banach spaces ⋮ Fixed and best proximity points of cyclic jointly accretive and contractive self-mappings ⋮ A reflected inertial Krasnoselskii-type algorithm for Lipschitz pseudo-contractive mappings ⋮ Convergence of perturbed composite implicit iteration process for a finite family of asymptotically nonexpansive mappings ⋮ Unnamed Item

Cites Work

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• Zeros of accretive operators
• Convergence theorems of common fixed points for a finite family of Lipschitz pseudocontractions in Banach spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• Convergence theorems for implicit iteration process for a finite family of continuous pseudocontractive mappings
• An example on the Mann iteration method for Lipschitz pseudocontractions
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• The Solution by Iteration of Nonlinear Equations in Hilbert Spaces

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