Weak convergence of infinite products of operators in Hadamard spaces
From MaRDI portal
Publication:276284
DOI10.1007/s12215-015-0218-6zbMath1348.47064OpenAlexW2182109036MaRDI QIDQ276284
Publication date: 3 May 2016
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12215-015-0218-6
weak convergenceconvex combinationCAT(0) spaceHadamard spaceinfinite productexact orbitfirmly nonexpansive operatorinexact orbitnearest point projectionstrongly nonexpansive operator
Iterative procedures involving nonlinear operators (47J25) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)
Related Items
A novel iterative algorithm applied to totally asymptotically nonexpansive mappings in CAT(0) spaces ⋮ Regularization of proximal point algorithms in Hadamard manifolds ⋮ Fixed point results in convex metric spaces ⋮ Iterative approximation of attractive points of further generalized hybrid mappings in Hadamard spaces ⋮ Convergences of alternating projections in \(\mathrm{CAT}(\kappa)\) spaces ⋮ The viscosity approximation method for multivalued \(G\)-nonexpansive mappings in Hadamard spaces endowed with graphs ⋮ A proximal point algorithm for finding minimizers and fixed points of quasi-pseudo-contractive mappings in CAT(0) spaces ⋮ Solving a general split equality problem without prior knowledge of operator norms in Banach spaces ⋮ Old and new challenges in Hadamard spaces ⋮ A study on fixed point theorems for a class of generalized nonexpansive mappings in Hadamard spaces ⋮ Mean ergodic theorems for a sequence of nonexpansive mappings in complete \(\mathrm{CAT}(0)\) spaces and its applications ⋮ Quantitative results on Fejér monotone sequences ⋮ Fixed point theorems for interpolative Ćirić-type contraction mappings in CAT(0) space with application to hyperbolical rotation matrix ⋮ On convergence of infinite products of convex combinations of mappings in CAT(0) spaces ⋮ Approximation of fixed points of enriched asymptotically nonexpansive mappings in CAT(0) spaces ⋮ Iterative approaches for solving equilibrium problems, zero point problems and fixed point problems in Hadamard spaces ⋮ On the zero point problem of monotone operators in Hadamard spaces ⋮ Unnamed Item ⋮ On solving the minimization problem and the fixed-point problem for a finite family of non-expansive mappings in CAT(0) spaces ⋮ Unnamed Item ⋮ Monotone inclusion problem and fixed point problem of a generalized demimetric mapping in CAT(0) spaces ⋮ A new iteration process for approximation of fixed points of mean nonexpansive mappings in CAT(0) spaces ⋮ Modified proximal point algorithms for solving constrained minimization and fixed point problems in complete CAT(0) spaces ⋮ A mean ergodic theorem for nonexpansive mappings in Hadamard spaces ⋮ Products of resolvents and multivalued hybrid mappings in \(CAT(0)\) spaces ⋮ General modified viscosity implicit rules for generalized asymptotically nonexpansive mappings in complete \(\operatorname{CAT}(0)\) spaces ⋮ A strong convergence theorem for monotone inclusion and minimization problems in complete CAT(0) spaces ⋮ Viscosity iterative techniques for approximating a common zero of monotone operators in an Hadamard space ⋮ Strong and \(\triangle\)-convergence of Moudafi's iterative algorithm for generalized nonexpansive mappings in convex metric spaces ⋮ A multi-step approximant for fixed point problem and convex optimization problem in Hadamard spaces ⋮ Asymptotic behavior of a dynamical system on a metric space ⋮ Fixed point results for enriched ordered contractions in noncommutative Banach spaces ⋮ Convergence Results for Proximal Point Algorithm in Complete Cat(0) Space for Multivalued Mappings ⋮ Convergence theorems for asymptotically quasi-nonexpansive sequences with applications
Cites Work
- Alternating projections in CAT(0) spaces
- The asymptotic behavior of the composition of firmly nonexpansive mappings
- A concept of convergence in geodesic spaces
- Asymptotic behavior of resolvents of coaccretive operators in the Hilbert ball
- CAT\((k)\)-spaces, weak convergence and fixed points
- Equilibrium maps between metric spaces
- Projection and proximal point methods: Convergence results and counterexamples.
- An alternating projection that does not converge in norm
- Fixed points of uniformly Lipschitzian mappings
- Inexact orbits of nonexpansive mappings
- Convex analysis and optimization in Hadamard spaces
- Firmly nonexpansive mappings in classes of geodesic spaces
- Nonexpansive iterations in hyperbolic spaces
- A limit theorem for projections
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
