Fixed Point and Convergence Results for Nonexpansive Set-Valued Mappings

DOI10.1080/01630563.2021.2001821zbMath1496.54059OpenAlexW3212878511MaRDI QIDQ5067641

Zaslavski, Alexander J., Simeon Reich

Publication date: 4 April 2022

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2021.2001821

zbMATH Keywords

fixed pointcomplete metric spaceset-valued mappingiterate

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Cites Work

• Numerical optimization with computational errors
• Multivariate fixed point theorems for contractions and nonexpansive mappings with applications
• Approximate solutions of common fixed-point problems
• Convergence to attractors under perturbations
• Generic existence and approximation of fixed points for nonexpansive set-valued maps
• Algorithms for solving common fixed point problems
• Convergence and perturbation resilience of dynamic string-averaging projection methods
• Projected subgradient minimization versus superiorization
• Strict Fejér monotonicity by superiorization of feasibility-seeking projection methods
• Multi-valued contraction mappings
• Genericity in nonlinear analysis
• Projection Methods: Swiss Army Knives for Solving Feasibility and Best Approximation Problems with Halfspaces
• Perturbation resilience and superiorization of iterative algorithms
• Algorithms and Convergence Results of Projection Methods for Inconsistent Feasibility Problems: A Review
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