Rates of convergence for iterative solutions of equations involving set-valued accretive operators
U Kohlenbach, T Powell - Computers & Mathematics with Applications, 2020 - Elsevier
This paper studies proofs of strong convergence of various iterative algorithms for computing
the unique zeros of set-valued accretive operators that also satisfy some weak form of …
the unique zeros of set-valued accretive operators that also satisfy some weak form of …
[PDF][PDF] Proof Mining for Nonlinear Operator Theory: Four Case Studies on Accretive Operators, the Cauchy Problem and Nonexpansive Semigroups
A Koutsoukou-Argyraki - 2017 - tuprints.ulb.tu-darmstadt.de
We present the first applications of proof mining to the theory of partial differential equations
as well as to set-valued operators in Banach spaces, in particular to abstract Cauchy …
as well as to set-valued operators in Banach spaces, in particular to abstract Cauchy …
Effective rates of convergence for the resolvents of accretive operators
A Koutsoukou-Argyraki - Numerical Functional Analysis and …, 2017 - Taylor & Francis
We extract explicit, computable, and highly uniform rates for the strong convergence of the
resolvents of set-valued, m-accretive, and uniformly accretive at zero/ϕ-expansive operators …
resolvents of set-valued, m-accretive, and uniformly accretive at zero/ϕ-expansive operators …
Constructing zeros of accretive operators
S Reich - Applicable Analysis, 1979 - Taylor & Francis
Constructing zeros of accretive operators<xref ref-type='fn' rid='FN0001'></xref> Page 1
Applzcubie Annljsis. 1979. Vol. 8, pp. 349-352 0 Gordon and Breach Sclence Pubhshers Ltd …
Applzcubie Annljsis. 1979. Vol. 8, pp. 349-352 0 Gordon and Breach Sclence Pubhshers Ltd …
Logical metatheorems for accretive and (generalized) monotone set-valued operators
N Pischke - Journal of Mathematical Logic, 2024 - World Scientific
Accretive and monotone operator theory are central branches of nonlinear functional
analysis and constitute the abstract study of certain set-valued mappings between function …
analysis and constitute the abstract study of certain set-valued mappings between function …
Effective metastability for a method of alternating resolvents
A generalized method of alternating resolvents was introduced by Boikanyo and Moro {\cs}
anu as a way to approximate common zeros of two maximal monotone operators. In this …
anu as a way to approximate common zeros of two maximal monotone operators. In this …
[PDF][PDF] On zeros of accretive operators with application to the convex feasibility problem
In this paper, we study some iterative algorithms for finding common zeros of finite family of
accretive operators in Banach spaces. Our results improve the recent results of Kim and …
accretive operators in Banach spaces. Our results improve the recent results of Kim and …
On sufficient conditions ensuring the norm convergence of an iterative sequence to zeros of accretive operators
H Cui, M Su - Applied Mathematics and Computation, 2015 - Elsevier
Given two real sequences (rn) and (α n), we study the iterative scheme: x n+ 1= α n u+(1-α n)
J rnxn, for finding a zero of an accretive operator A, where u is a fixed element and J rn …
J rnxn, for finding a zero of an accretive operator A, where u is a fixed element and J rn …
Constructing zeros of accretive operators II
In a preceding paper we proved a convergence theorem for an implicit iterative scheme, and
then applied it to an explicit one. In the present paper we study a modification of this …
then applied it to an explicit one. In the present paper we study a modification of this …
A proof-theoretic metatheorem for nonlinear semigroups generated by an accretive operator and applications
N Pischke - arXiv preprint arXiv:2304.01723, 2023 - arxiv.org
We further develop the theoretical framework of proof mining, a program in mathematical
logic that seeks to quantify and extract computational information from prima facienon …
logic that seeks to quantify and extract computational information from prima facienon …
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