Strong convergence of a modified implicit iteration process for a finite family of \(Z\)-operators

DOI10.1155/IJMMS/2006/10328zbMath1124.47047MaRDI QIDQ884182

Arif Rafiq

Publication date: 13 June 2007

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53555

zbMATH Keywords

strong convergencenormed spacecommon fixed pointimplicit iteration processZ-operator

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

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• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• Approximation of fixed points of nonexpansive mappings
• On Chidume's open questions and approximate solutions of multivalued strongly accretive mapping equations in Banach spaces
• The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
• Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• A Generalization of Banach's Contraction Principle
• CONVERGENCE OF IMPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
• Fixed points of nonexpanding maps
• Fixed point theorems in metric spaces

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