Common fixed points for commuting multivalued non-convex mappings in metric trees

DOI10.1007/s11784-021-00877-xzbMath1476.54063OpenAlexW3191377428MaRDI QIDQ2045208

Moosa Gabeleh, Jack T. Markin

Publication date: 12 August 2021

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

Full work available at URL: https://doi.org/10.1007/s11784-021-00877-x

zbMATH Keywords

best approximationcommon fixed pointmetric trees\( \varepsilon \)-continuous

Mathematics Subject Classification ID

Set-valued operators (47H04) Selections in general topology (54C65) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Cites Work

• Unnamed Item
• Fixed point theorems in \(\mathbb R\)-trees with applications to graph theory
• Common fixed point properties for a family of set-valued mappings
• The first common fixed point theorem for commutative set-valued mappings
• Fixed points in locally convex spaces
• Remarks on best approximation in R-trees
• Best approximation of coincidence points in metric trees
• A selection theorem in metric trees