Pseudo-convergence in normed linear spaces

DOI10.1216/rmjm/1181072929zbMath0895.47035OpenAlexW2026465210MaRDI QIDQ1206743

Teck-Cheong Lim

Publication date: 1 April 1993

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072929

zbMATH Keywords

asymptotic centerapproximate fixed pointsduality mappseudo-convergence\((w^*)\)-Opial's conditionfixed point theory of multivalued nonexpansive mappingspseudo-limitspace with a uniformly Gateaux differentiable normuniquely pseudo-convergent

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items

A negative answer to a question of Teck-Cheong Lim about pseudo convergence

Cites Work

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• Convexity of Chebyshev sets
• On fixed point stability for set-valued contractive mappings with applications to generalized differential equations
• Product formulas, nonlinear semigroups, and accretive operators
• Approximate selections, best approximations, fixed points, and invariant sets
• Asymptotic behavior of contractions in Banach spaces
• On Asymptotic Centers and Fixed Points of Nonexpansive Mappings
• Remarks on Some Fixed Point Theorems
• Convergence, resolvent consistency, and the fixed point property for nonexpansive mappings
• Weak convergence of the sequence of successive approximations for nonexpansive mappings