On solving the minimization problem and the fixed-point problem for a finite family of non-expansive mappings in CAT(0) spaces

DOI10.1080/10556788.2017.1312397zbMath1489.47089OpenAlexW2605704846MaRDI QIDQ4638923

Withun Phuengrattana, Asawathep Cuntavepanit

Publication date: 2 May 2018

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556788.2017.1312397

zbMATH Keywords

strong convergenceCAT(0) spacesnonexpansive mappingsproximal point algorithm\(\Delta\)-convergenceconvex minimization problemfixed-point problems

Mathematics Subject Classification ID

Convex programming (90C25) Iterative procedures involving nonlinear operators (47J25) Fixed-point and coincidence theorems (topological aspects) (54H25) Programming in abstract spaces (90C48) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Strong convergence theorems for fixed point of multi-valued mappings in Hadamard spaces ⋮ Modified proximal point algorithms involving convex combination technique for solving minimization problems with convergence analysis ⋮ First Order Methods for Optimization on Riemannian Manifolds ⋮ Modified proximal point methods involving quasi-pseudocontractive mappings in Hadamard spaces

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