An Iterative Process for Nonlinear Monotonic Nonexpansive Operators in Hilbert Space

DOI10.2307/2006268zbMath0374.47028OpenAlexW4252903304MaRDI QIDQ4153011

W. G. jun. Dotson

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2006268

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Monotone operators and generalizations (47H05) Fixed-point theorems (47H10)

Related Items (20)

Ishikawa-type and Mann-type iterative processes with errors for constructing solutions of nonlinear equations involving m-accretive operators in Banach spaces ⋮ Iterative process with errors of nonlinear equations involving \(m\)-accretive operators ⋮ Ishikawa and Mann iteration methods for nonlinear strongly accretive mappings ⋮ Iterative solutions of parameter-dependent nonlinear equations of Hammerstein type ⋮ Iterative solution of nonlinear equations of the monotone type in Banach spaces ⋮ Iterative and approximate solutions of general parameter dependent nonlinear operator equations in Hilbert spaces ⋮ Iterative algorithm for split common fixed-point problem for quasi-nonexpansive operators ⋮ Unnamed Item ⋮ On the error estimation and \(T\)-stability of the Mann iteration ⋮ Inertial methods for fixed point problems and zero point problems of the sum of two monotone mappings ⋮ Fixed point approximation under Mann iteration beyond Ishikawa ⋮ Inertial subgradient extragradient algorithms with line-search process for solving variational inequality problems and fixed point problems ⋮ Mann-type algorithms for variational inequality problems and fixed point problems ⋮ Strong convergence theorems for an infinite family of quasi-nonexpansive mappings and generalized equilibrium problems and variational inequality problems ⋮ The Mann process for perturbed \(m\)-accretive operators in Banach spaces ⋮ Iterative solution of nonlinear equations of the monotone type in Banach spaces ⋮ An iterative process for nonlinear Lipschitzian strongly accretive mappings in \(L_ p\) spaces ⋮ Iterative processes with mixed errors for nonlinear equations with perturbed \(m\)-accretive operators in Banach spaces. ⋮ An iterative process for nonlinear Lipschitzian and strongly accretive mappings in uniformly convex and uniformly smooth Banach spaces ⋮ Iterative methods with mixed errors for perturbed \(m\)-accretive operator equations in arbitrary Banach spaces.

Cites Work

• The closure of the numerical range contains the spectrum
• A note on segmenting Mann iterates
• On the Mann Iterative Process

This page was built for publication: An Iterative Process for Nonlinear Monotonic Nonexpansive Operators in Hilbert Space