Fixed point theorems for some generalized nonexpansive mappings in Ptolemy spaces

DOI10.1186/1687-1812-2014-76zbMath1345.54048OpenAlexW2169075327WikidataQ59322815 ScholiaQ59322815MaRDI QIDQ286865

F. Blanchet-Sadri, M. Dambrine

Publication date: 26 May 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-76

zbMATH Keywords

fixed pointCAT(0) spacesPtolemy metric spacecondition \(C\)fundamentally nonexpansive mappings

Mathematics Subject Classification ID

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

Related Items (6)

Iterated nonexpansive mappings ⋮ Convergence of an iteration scheme in convex metric spaces ⋮ Fixed point theorems for generalized nonexpansive mappings in hyperbolic spaces ⋮ Approximation of common fixed point of two quasi-nonexpansive mappings in convex metric spaces ⋮ Strong and \(\triangle\)-convergence of Moudafi's iterative algorithm for generalized nonexpansive mappings in convex metric spaces ⋮ Multi-valued version of \(SCC\), \(SKC\), \(KSC\), and \(CSC\) conditions in Ptolemy metric spaces

Cites Work

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• On some nonexpansive type mappings and fixed points
• Fixed point theorems and convergence theorems for some generalized nonexpansive mappings
• Iteration processes for nonexpansive mappings
• PTOLEMAIC SPACES AND CAT(0)
• A new class of nonexpansive type mappings and fixed points
• A Remark on M. M. Day's Characterization of Inner-Product Spaces and a Conjecture of L. M. Blumenthal

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