Fixed Point Theorems for Mean Nonexpansive Mappings in CAT(0) Spaces

DOI10.1080/01630563.2015.1060614zbMath1330.54074OpenAlexW1875576524MaRDI QIDQ3453804

Jing Zhou, Yun An Cui

Publication date: 30 November 2015

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

Full work available at URL: https://doi.org/10.1080/01630563.2015.1060614

zbMATH Keywords

fixed pointsmetric spacesCAT(0) spaces\(\Delta\)-convergencemean nonexpansive mappings

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (7)

Proximal point algorithms based on \(S\)-iterative technique for nearly asymptotically quasi-nonexpansive mappings and applications ⋮ Fixed point theorems for interpolative Ćirić-type contraction mappings in CAT(0) space with application to hyperbolical rotation matrix ⋮ Some results on generalized mean nonexpansive mapping in complete metric spaces ⋮ Unnamed Item ⋮ A new iteration process for approximation of fixed points of mean nonexpansive mappings in CAT(0) spaces ⋮ Approximation of fixed points for mean nonexpansive mappings in Banach spaces ⋮ Error estimates of fictitious domain method with an \(H^1\) penalty approach for elliptic problems

Cites Work

• A concept of convergence in geodesic spaces
• Weak convergence theorems for nonexpansive mappings in Banach spaces
• On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
• Fixed points for mean non-expansive mappings
• Fixed point theorems and convergence theorems for some generalized nonexpansive mappings
• Fixed points of uniformly Lipschitzian mappings
• Reductive groups over a local field
• Lim's theorems for multivalued mappings in CAT(0) spaces
• Existence and convergence for fixed points of mappings of asymptotically nonexpansive type
• Demiclosedness principle and asymptotic behavior for asymptotically nonexpansive mappings
• Zum Prinzip der kontraktiven Abbildung
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• Semicontractive and semiaccretive nonlinear mappings in Banach spaces

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