Ishikawa-type and Mann-type iterative processes with errors for constructing solutions of nonlinear equations involving m-accretive operators in Banach spaces
From MaRDI portal
Publication:4259692
DOI10.1016/S0362-546X(97)00579-8zbMath0931.47055OpenAlexW1562938264MaRDI QIDQ4259692
Publication date: 3 December 1999
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00579-8
Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25)
Related Items
Iterative approximation of solutions to nonlinear equations involving \(m\)-accretive operators in Banach spaces ⋮ NEARNESS, ACCRETIVITY, AND THE SOLVABILITY OF NONLINEAR EQUATIONS ⋮ Convergence and stability of an iterative algorithm for strongly accretive Lipschitzian operator with applications ⋮ Convergence of a proximal point algorithm for maximal monotone operators in Hilbert spaces ⋮ A modified Mann iteration for zero points of accretive operators ⋮ A regularization algorithm for zero points of accretive operators ⋮ New Approximation Techniques for Solving Variational Inclusions Problem via SP Iterative Algorithm with Mixed Errors for Accretive Lipschitzian Operators ⋮ Unnamed Item ⋮ Convergence of an extragradient-like iterative algorithm for monotone mappings and nonexpansive mappings ⋮ Weak and strong convergence theorems for common zeros of accretive operators ⋮ An algorithm for treating asymptotically strict pseudocontractions and monotone operators ⋮ Proximal point algorithms for zero points of nonlinear operators ⋮ Proximal forward-backward splitting method for zeros of sum accretive operators for a fixed point set and inverse problems ⋮ PROXIMAL POINT ALGORITHM FOR A COMMON OF COUNTABLE FAMILIES OF INVERSE STRONGLY ACCRETIVE OPERATORS AND NONEXPANSIVE MAPPINGS WITH CONVERGENCE ANALYSIS ⋮ Iterative processes with mixed errors for nonlinear equations with perturbed \(m\)-accretive operators in Banach spaces. ⋮ Ishikawa iterative process for constructing solutions of \(m\)-accretive operator equations. ⋮ On the existence and iterative approximation problems of solutions for set-valued variational inclusions in Banach spaces ⋮ Iterative methods with mixed errors for perturbed \(m\)-accretive operator equations in arbitrary Banach spaces.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some fixed point iteration procedures
- The iterative solution of the equation \(f\in x+Tx\) for a monotone operator T in \(L^ p\) spaces
- Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
- Comments on two fixed point iteration methods
- Iterative solutions to nonlinear equations of strongly accretive operators in Banach spaces
- Iterative solution of nonlinear equations involving \(m\)-accretive operators in Banach spaces
- Approximation methods for nonlinear operator equations of the \(m\)- accretive type
- Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
- Fixed points of local strictly pseudo-contractive mappings using Mann and Ishikawa iteration with errors
- Nonlinear semigroups and evolution equations
- Krasnoselski-Mann Iterations in Normed Spaces
- Iterative solution of nonlinear equations of the monotone type in Banach spaces
- A general convergence principle in nonlinear functional analysis
- Inequalities in Banach spaces with applications
- An Iterative Process for Nonlinear Monotonic Nonexpansive Operators in Hilbert Space
- An iterative procedure for constructing zeros of accretive sets in Banach spaces
- On the Convergence of Some Iteration Processes in Uniformly Convex Banach Spaces
- Constructing zeros of accretive operators
- Fixed Points by a New Iteration Method
- The iterative solution of the equation $y \in x + Tx$ for a monotone operator $T$ in Hilbert space
- Nonlinear mappings of nonexpansive and accretive type in Banach spaces
- A Global Existence Theorem for Autonomous Differential Equations in a Banach Space
- Mean Value Methods in Iteration
