Global iteration schemes for monotone operators

DOI10.1016/0362-546X(79)90065-8zbMath0439.47043OpenAlexW2038822094MaRDI QIDQ3881420

Olavi Nevanlinna

Publication date: 1979

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(79)90065-8

zbMATH Keywords

global convergenceconvex programmingmonotone operatorsiteration methods

Mathematics Subject Classification ID

Convex programming (90C25) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25)

Related Items

An explicit iteration for zeros of accretive operators, Approximate solvability of hammerstein equation, Steepest descent approximations for accretive operator equations, On the asymptotic behavior of nonlinear semigroups and the range of accretive operators, The optimal ball algorithm for nonlinear equations of quasi-strongly monotone operators, Convergence of algorithms for problems of Landesman-Lazer type, A necessary and sufficient condition for convergence of steepest descent approximation to accretive operator equations, New convergence theorems for certain iterative schemes in Banach spaces, On iterations methods for zeros of accretive operators in Banach spaces, Global iterative schemes for accretive operators, Iterative solutions for zeros of multivalued accretive operators

Cites Work

• Unnamed Item
• 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
• Constructing zeros of accretive operators
• The iterative solution of the equation $y \in x + Tx$ for a monotone operator $T$ in Hilbert space
• Fixed points of nonexpanding maps