CONVERGENCE OF INEXACT ITERATES OF CONTRACTIVE MAPPINGS IN METRIC SPACES WITH GRAPHS

DOI10.17654/FP016230067zbMath1491.54142OpenAlexW3201046921MaRDI QIDQ5076871

Zaslavski, Alexander J., Simeon Reich

Publication date: 17 May 2022

Published in: JP Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/fp016230067

zbMATH Keywords

graphfixed pointnonexpansive mappingcomplete metric spacecontractive mappinginexact iterate

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Cites Work

• Approximate solutions of common fixed-point problems
• Convergence to attractors under perturbations
• Generic existence and approximation of fixed points for nonexpansive set-valued maps
• Convergence to compact sets of inexact orbits of nonexpansive mappings in Banach and metric spaces
• Algorithms for solving common fixed point problems
• Genericity in nonlinear analysis
• Outer approximation methods for solving variational inequalities in Hilbert space
• A Note on Contractive Mappings
• Graph contractions in vector-valued metric spaces and applications
• Multi-valued graph contraction principle with applications
• Algorithms and Convergence Results of Projection Methods for Inconsistent Feasibility Problems: A Review
• The contraction principle for mappings on a metric space with a graph
• The Round‐off Stability of Iterations
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