On Halpern's proximal point algorithm in \(p\)-uniformly convex metric spaces (Q6608160)

scientific article; zbMATH DE number 7916018

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English	On Halpern's proximal point algorithm in \(p\)-uniformly convex metric spaces	scientific article; zbMATH DE number 7916018

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instance of

scholarly article

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title

On Halpern's proximal point algorithm in \(p\)-uniformly convex metric spaces (English)

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Thai Journal of Mathematics

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publication date

19 September 2024

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zbMATH Keywords

\(p\)-uniformly convex metric spaces

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\(p\)-resolvent

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convex functions

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Halpern's iterations

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proximal point algorithm

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Strong convergence results for quasimonotone variational inequalities

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On a system of monotone variational inclusion problems with fixed-point constraint

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Firmly nonexpansive mappings in classes of geodesic spaces

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A viscosity-type algorithm for an infinitely countable family of \((f,g)\)-generalized \(k\)-strictly pseudononspreading mappings in \(\operatorname{CAT}(0)\) spaces

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Multi-step iterative algorithm for minimization and fixed point problems in \(p\)-uniformly convex metric spaces

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On the proximal point algorithm and demimetric mappings in \(\mathrm{CAT}(0)\) spaces

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Sharp uniform convexity and smoothness inequalities for trace norms

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Computing Medians and Means in Hadamard Spaces

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The proximal point algorithm in metric spaces

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A new proximal point iteration that converges weakly but not in norm

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Projection and proximal point methods: Convergence results and counterexamples.

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Q4720067

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THE PROXIMAL POINT ALGORITHM IN UNIFORMLY CONVEX METRIC SPACES

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Convex feasibility problems on uniformly convex metric spaces

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Geometric interpolation in \(p\)-Schatten class

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Convex- and monotone-transformable mathematical programming problems and a proximal-like point method

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Iterative algorithm for a family of monotone inclusion problems in cat(0) spaces

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Fixed points of single- and set-valued mappings in uniformly convex metric spaces with no metric convexity

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An inertial extrapolation method for solving generalized split feasibility problems in real Hilbert spaces

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Proximal-type algorithms for split minimization problem in P-uniformly convex metric spaces

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An inertial method for solving generalized split feasibility problems over the solution set of monotone variational inclusions

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A new method for solving split variational inequality problems without co-coerciveness

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On the Convergence of the Proximal Point Algorithm for Convex Minimization

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Approximating solutions of maximal monotone operators in Hilbert spaces

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On convergence and complexity of the modified forward‐backward method involving new linesearches for convex minimization

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Resolvent flows for convex functionals and \(p\)-harmonic maps

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Jensen's inequality on convex spaces

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Monotone vector fields and the proximal point algorithm on Hadamard manifolds

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Remarks on Some Fixed Point Theorems

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Q5618030

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Poincaré inequalities, embeddings, and wild groups

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Uniform convexity and smoothness, and their applications in Finsler geometry

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Regularity of harmonic functions in Cheeger-type Sobolev spaces

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Inertial iterative method with self-adaptive step size for finite family of split monotone variational inclusion and fixed point problems in Banach spaces

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Iterative algorithm with self-adaptive step size for approximating the common solution of variational inequality and fixed point problems

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A viscosity iterative algorithm for a family of monotone inclusion problems in an Hadamard space

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On \(\theta\)-generalized demimetric mappings and monotone operators in Hadamard spaces

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Inertial methods for finding minimum-norm solutions of the split variational inequality problem beyond monotonicity

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Inertial extrapolation method for a class of generalized variational inequality problems in real Hilbert spaces

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Convergence of relaxed inertial subgradient extragradient methods for quasimonotone variational inequality problems

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A strong convergence theorem for monotone inclusion and minimization problems in complete CAT(0) spaces

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Inertial shrinking projection algorithm with self-adaptive step size for split generalized equilibrium and fixed point problems for a countable family of nonexpansive multivalued mappings

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A new inertial-projection algorithm for approximating common solution of variational inequality and fixed point problems of multivalued mappings

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Monotone Operators and the Proximal Point Algorithm

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Halpern's iteration in CAT(0) spaces

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Approximation of zeros of inverse strongly monotone operators in Banach spaces

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Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces

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On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces

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Proximal point algorithm involving fixed point of nonexpansive mapping in \(\mathrm{p} \)-uniformly convex metric space

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Strong convergence theorem for monotone inclusion problem in CAT(0) spaces

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Strong convergence of a self-adaptive inertial Tseng's extragradient method for pseudomonotone variational inequalities and fixed point problems

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On the zero point problem of monotone operators in Hadamard spaces

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Identifiers

Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6608160