Splitting type viscosity methods for inclusion and fixed point problems on Hadamard manifolds

DOI10.3934/math.2021309zbMath1484.47145OpenAlexW3136456535MaRDI QIDQ2133263

Mohammad Dilshad, Mohammad Akram, Aysha Khan

Publication date: 29 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021309

zbMATH Keywords

nonexpansive mappingvariational inclusionHadamard manifoldfixed point problemvariational inqualitysplitting type viscosity method

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10)

Related Items (4)

A new iterative algorithm for general variational inequality problem with applications ⋮ A Novel Halpern-type Algorithm for a Monotone Inclusion Problem and a Fixed Points Problem on Hadamard Manifolds ⋮ Implicit viscosity iterative algorithm for nonexpansive mapping on Hadamard manifolds ⋮ Viscosity method for hierarchical variational inequalities and variational inclusions on Hadamard manifolds

Cites Work

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• The prox-Tikhonov-like forward-backward method and applications
• Strong convergence theorems for maximal monotone operators with nonlinear mappings in Hilbert spaces
• Resolvents of set-valued monotone vector fields in Hadamard manifolds
• Solving variational inequalities involving nonexpansive type mappings
• Iterative algorithms for nonexpansive mappings on Hadamard manifolds
• On the metric projection onto convex sets in riemannian spaces
• Variational inequalities on Hadamard manifolds
• Viscosity approximation methods for fixed-points problems
• Viscosity method for hierarchical variational inequalities and variational inclusions on Hadamard manifolds
• Solving Yosida inclusion problem in Hadamard manifold
• Monotone vector fields and the proximal point algorithm on Hadamard manifolds
• Monotone Operators and the Proximal Point Algorithm
• Halpern- and Mann-Type Algorithms for Fixed Points and Inclusion Problems on Hadamard Manifolds
• Splitting Algorithms of Common Solutions Between Equilibrium and Inclusion Problems on Hadamard Manifolds
• Nonsmooth variational inequalities on Hadamard manifolds
• Mean Value Methods in Iteration

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