NEARNESS, ACCRETIVITY, AND THE SOLVABILITY OF NONLINEAR EQUATIONS
From MaRDI portal
Publication:4787837
DOI10.1081/NFA-120014748zbMath1022.47044OpenAlexW2128588312MaRDI QIDQ4787837
Publication date: 27 October 2003
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1081/nfa-120014748
Nonlinear accretive operators, dissipative operators, etc. (47H06) Equations involving nonlinear operators (general) (47J05) Nonlinear elliptic equations (35J60) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)
Related Items
Existence and uniqueness of global strong solutions to fully nonlinear second order elliptic systems ⋮ Classes of elliptic matrices ⋮ Existence and uniqueness of global solutions to fully nonlinear first order elliptic systems ⋮ Quasilinearization method for nonlinear elliptic boundary-value problems ⋮ Nearness of nonlinear operators
Cites Work
- A fixed point theorem for local pseudo-contractions in uniformly convex spaces
- Stable iteration procedures for strong pseudocontractions and nonlinear equations involving accretive operators without Lipschitz assumption
- Approximation of a solution for a \(K\)-positive definite operator equation in uniformly smooth separable Banach spaces
- Approximation of a solution for a \(K\)-positive definite operator equation
- Implicit function theorems for m-accretive and locally accretive set-valued mappings
- Zeros of accretive operators
- Hölder continuity of solutions to a parametric variational inequality
- Strongly Regular Generalized Equations
- An Implicit-Function Theorem for a Class of Nonsmooth Functions
- Iterative solutions of nonlinear accretive operator equations in arbitrary Banach spaces
- Approximation of the zeros of -accretive operators
- The solution by iteration of nonlinear equations involving Psi-strongly accretive operators
- Ishikawa-type and Mann-type iterative processes with errors for constructing solutions of nonlinear equations involving m-accretive operators in Banach spaces
- Implicit Functions, Lipschitz Maps, and Stability in Optimization
- Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces
- Generalizations of accretivity for nonlinear mappings of Banach spaces
- Set-valued analysis
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item