Geodesic Ptolemy spaces and fixed points

DOI10.1016/j.na.2010.08.009zbMath1218.54039OpenAlexW1997001410MaRDI QIDQ603012

Adriana Nicolae, Rafael Espínola

Publication date: 5 November 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/xmlui/handle/11441/49499

zbMATH Keywords

fixed pointnonexpansive mappingCAT(0)geodesic spacePtolemy inequality

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (9)

Fixed point theorems for some generalized nonexpansive mappings in Ptolemy spaces ⋮ The behavior of fixed point free nonexpansive mappings in geodesic spaces ⋮ Asymptotic behavior of averaged and firmly nonexpansive mappings in geodesic spaces ⋮ Fixed point theorems for generalized nonexpansive mappings in hyperbolic spaces ⋮ Fixed point theorems for Lipschitzian type mappings in \(CAT(0)\) spaces ⋮ Convergence theorems for total asymptotically nonexpansive mappings in \(\mathrm{CAT} (\kappa)\) spaces ⋮ Strong and \(\triangle\)-convergence theorems for total asymptotically nonexpansive nonself mappings in \(\mathrm{CAT}(0)\) spaces ⋮ New iterative scheme with strict pseudo-contractions and multivalued nonexpansive mappings for fixed point problems and variational inequality problems ⋮ Multi-valued version of \(SCC\), \(SKC\), \(KSC\), and \(CSC\) conditions in Ptolemy metric spaces

Cites Work

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• Fixed point theorems and convergence theorems for some generalized nonexpansive mappings
• Fixed points of uniformly Lipschitzian mappings
• Group actions on geodesic Ptolemy spaces
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• PTOLEMAIC SPACES AND CAT(0)
• Nonpositive Curvature and the Ptolemy Inequality
• An Introduction to Metric Spaces and Fixed Point Theory
• A Remark on M. M. Day's Characterization of Inner-Product Spaces and a Conjecture of L. M. Blumenthal

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