A Relaxed Picard Iteration Process for Set-Valued Operators of the Monotone Type

DOI10.2307/2042355zbMath0368.47033OpenAlexW4239917429MaRDI QIDQ4146160

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Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2042355

zbMATH Keywords

monotone typeset-value operatorsrelaxed picard iteration process

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Monotone operators and generalizations (47H05) Set-valued maps in general topology (54C60) Fixed-point theorems (47H10)

Related Items

Multivalued mappings

Cites Work

• A strongly convergent iterative solution of \(0 \in U(x)\) for a maximal monotone operator U in Hilbert space
• The closure of the numerical range contains the spectrum
• Construction of fixed points of nonlinear mappings in Hilbert space
• A geometric approach to fixed points of non-self-mappings 𝑇:𝐷→𝑋
• Rates of Convergence for Conditional Gradient Algorithms Near Singular and Nonsingular Extremals
• The iterative solution of the equation $y \in x + Tx$ for a monotone operator $T$ in Hilbert space
• The closure of the numerical range contains the spectrum
• Iterative construction of fixed points for multivalued operators of the monotone type

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