On the existence of common fixed points for a pair of Lipschitzian mappings in Banach spaces.

DOI10.1007/BF02438272zbMath1039.47036OpenAlexW182051741MaRDI QIDQ1418287

Luchuan Zeng

Publication date: 16 March 2004

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02438272

zbMATH Keywords

common fixed pointsasymptotic regularityLipschitz mapping\(p\)-uniformly convex Banach spaceweak \(\omega\)-limit set

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Fixed-point theorems (47H10)

Cites Work

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• On an inequality of Bynum and Drew
• Strongly unique best approximation in Banach spaces. II
• Normal structure coefficients for Banach spaces
• Uniformly normal structure and related coefficients
• On the almost-convergence of iterates of a nonexpansive mapping in Hilbert space and the structure of the weak \(\omega\)-limit set
• Fixed points of a pair of asymptotically regular mappings
• Some estimates for the normal structure coefficient in Banach spaces
• Strongly unique best approximations and centers in uniformly convex spaces
• A survey of the theory of spectral operators
• Inequalities in Banach spaces with applications
• Fixed point theorems for asymptotically regular mappings in Lp spaces
• Fixed point theorems for asymptotically nonexpansive mappings
• The solution by iteration of nonlinear functional equations in Banach spaces

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