Construction of a fixed point for contractions in Banach space

DOI10.1007/BF02771468zbMath0222.47022OpenAlexW2047164319MaRDI QIDQ2547723

Shmuel Kaniel

Publication date: 1971

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02771468

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Spazi di Opial, centri asintotici e punti fissi ⋮ Solving variational inequality and fixed point problems by line searches and potential optimization ⋮ Asymptotic behavior of contractions in Banach spaces ⋮ An example concerning fixed points ⋮ Geometric estimation of fixed points of Lipschitzian mappings. II ⋮ Construction of Fixed Points of Asymptotically Nonexpansive Mappings in Uniformly Convex Hyperbolic Spaces

Cites Work

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• Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• The solution by iteration of nonlinear functional equations in Banach spaces
• A Fixed Point Theorem for Mappings which do not Increase Distances