A fixed point theorem for asymptotically nonexpansive mappings

DOI10.2996/kmj/1138036376zbMath0472.47032OpenAlexW2023953788MaRDI QIDQ1157768

Billy E. Rhoades

Publication date: 1981

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138036376

zbMATH Keywords

fixed pointstrongly regularasymptotically nonexpansive

Mathematics Subject Classification ID

Fixed-point theorems (47H10) General theorems on summability (40D05)

Related Items (1)

Nonlinear ergodic theorems for asymptotically nonexpansive mappings in Banach spaces satisfying Opial's condition

Cites Work

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• On the almost-convergence of iterates of a nonexpansive mapping in Hilbert space and the structure of the weak \(\omega\)-limit set
• Some properties of the Chebyshev method
• Remarks on nonlinear ergodic theory
• Nonlinear ergodic theorems for nonexpansive mappings in Hilbert spaces
• Almost convergence and nonlinear ergodic theorems
• The Fixed Point Property and Unbounded Sets in Hilbert Space
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings

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