Convergence theorems for strict pseudo-contractions in CAT(0) metric spaces

DOI10.2298/FIL1707967GzbMath1478.65048OpenAlexW2414018467MaRDI QIDQ5157365

Amir Gharajelo, Hossein Dehghan

Publication date: 13 October 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1707967g

zbMATH Keywords

strong convergencefixed point\(\Delta\)-convergencestrict pseudo-contractiondemiclosed principleMann's algorithmCAT(0) metric space

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

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Cites Work

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• A concept of convergence in geodesic spaces
• An iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contraction mappings
• On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
• Quasilinearization and curvature of Aleksandrov spaces
• Fixed points of uniformly Lipschitzian mappings
• Fixed Point Theory in Distance Spaces
• Remarks on Some Fixed Point Theorems