Strong Convergence of Resolvents of Monotone Operators in Banach Spaces

DOI10.2307/2046847zbMath0671.47042OpenAlexW4255044375MaRDI QIDQ3824910

Kazuo Kido

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2046847

zbMATH Keywords

normiterationmaximal monotone operatornearest point retractionstrictly convex dual Banach space with a Fréchet differentiablestrictly convex dual Banach space with a Fréchet differentiable norm

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear accretive operators, dissipative operators, etc. (47H06) Equations involving nonlinear operators (general) (47J05)

Related Items (10)

Approximation Methods for Nonexpansive Type Mappings in Hadamard Manifolds ⋮ Strong convergence theorems for strongly monotone mappings in Banach spaces ⋮ On the weak and strong convergence of the proximal point algorithm in reflexive Banach spaces ⋮ Asymptotic behavior of resolvents of equilibrium problems on complete geodesic spaces ⋮ Resolvents of set-valued monotone vector fields in Hadamard manifolds ⋮ Finite termination of the proximal point algorithm in Banach spaces ⋮ Algorithm for the generalized Φ-strongly monotone mappings and application to the generalized convex optimization problem ⋮ A new projection and convergence theorems for the projections in Banach spaces ⋮ Approximation of zeros of bounded maximal monotone mappings, solutions of Hammerstein integral equations and convex minimization problems ⋮ On convergence of the proximal point algorithm in Banach spaces

Cites Work

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• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• A strongly convergent iterative solution of \(0 \in U(x)\) for a maximal monotone operator U in Hilbert space
• Méthodes d'approximation et d'itération pour les opérateurs monotones
• EXISTENCE AND APPROXIMATION OF SOLUTIONS OF NONLINEAR VARIATIONAL INEQUALITIES
• Applications of the Hahn-Banach Theorem in Approximation Theory
• Nonexpansive retracts of Banach spaces

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