Constructing zeros of accretive operators

DOI10.1080/00036817908839243zbMath0408.47048OpenAlexW2097964265WikidataQ58269276 ScholiaQ58269276MaRDI QIDQ4195481

Simeon Reich

Publication date: 1979

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036817908839243

zbMATH Keywords

Accretive OperatorsExplicit Iterative SchemeImplicit Iterative Scheme

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Ishikawa-type and Mann-type iterative processes with errors for constructing solutions of nonlinear equations involving m-accretive operators in Banach spaces ⋮ The solution by iteration of nonlinear equations in uniformly smooth Banach spaces ⋮ Condensing operators ⋮ New convergence theorems for certain iterative schemes in Banach spaces ⋮ Construction of zeros of accretive mappings ⋮ Global iteration schemes for monotone operators ⋮ Viscosity approximations by generalized contractions for resolvents of accretive operators in Banach spaces ⋮ Common solutions to a finite family of inclusion problems and an infinite family of fixed point problems by a generalized viscosity implicit scheme including applications

Cites Work

• On the relation of the operator \(\partial/\partial s+partial/\tau\) to evolution governed by accretive operators
• On the range of accretive operators
• A strongly convergent iterative solution of \(0 \in U(x)\) for a maximal monotone operator U in Hilbert space
• Monotone Operators and the Proximal Point Algorithm