Halpern- and Mann-Type Algorithms for Fixed Points and Inclusion Problems on Hadamard Manifolds

DOI10.1080/01630563.2018.1553887zbMath1447.49032OpenAlexW2912917324MaRDI QIDQ4634178

Feeroz Babu, Suliman Al-Homidan, Qamrul Hasan Ansari

Publication date: 7 May 2019

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2018.1553887

zbMATH Keywords

fixed pointsRiemannian metricnonexpansive mappingsHadamard manifoldsmaximal monotone vector fieldsHalpern-type algorithmMann-type algorithminclusions problems

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems on manifolds (58C30) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Variational and other types of inclusions (47J22)

Related Items (24)

Proximal point algorithm for inclusion problems in Hadamard manifolds with applications ⋮ Splitting type viscosity methods for inclusion and fixed point problems on Hadamard manifolds ⋮ Tseng's methods for inclusion problems on Hadamard manifolds ⋮ Iterative algorithms for system of variational inclusions in Hadamard manifolds ⋮ An extragradient method for non-monotone equilibrium problems on Hadamard manifolds with applications ⋮ A new algorithm for monotone inclusion problems and fixed points on Hadamard manifolds with applications ⋮ Iterative algorithms for monotone variational inequality and fixed point problems on Hadamard manifolds ⋮ Dynamical systems for solving variational inclusion and fixed point problems on Hadamard manifolds ⋮ Variational inequalities governed by strongly pseudomonotone vector fields on Hadamard manifolds ⋮ A new self-adaptive iterative method for variational inclusion problems on Hadamard manifolds with applications ⋮ Inertial proximal point algorithm for variational inclusion in Hadamard manifolds ⋮ A Novel Halpern-type Algorithm for a Monotone Inclusion Problem and a Fixed Points Problem on Hadamard Manifolds ⋮ Regularization methods for hierarchical variational inequality problems on Hadamard manifolds ⋮ " Implicit and explicit viscosity methods for hierarchical variational inequalities on Hadamard manifolds" ⋮ Implicit viscosity iterative algorithm for nonexpansive mapping on Hadamard manifolds ⋮ Global error bounds for mixed Quasi-Hemivariational inequality problems on Hadamard manifolds ⋮ Unnamed Item ⋮ Shrinking projection algorithm for solving a finite family of quasi-variational inclusion problems in Hadamard manifold ⋮ An extragradient method for vector equilibrium problems on Hadamard manifolds ⋮ Viscosity method for hierarchical variational inequalities and variational inclusions on Hadamard manifolds ⋮ Iterative algorithm for singularities of inclusion problems in Hadamard manifolds ⋮ Convergence Analysis for Variational Inclusion Problems Equilibrium Problems and Fixed Point in Hadamard Manifolds ⋮ Weak sharpness and finite termination for variational inequalities on Hadamard manifolds ⋮ Splitting Algorithms for Equilibrium Problems and Inclusion Problems on Hadamard Manifolds

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