Inertial methods for fixed point problems and zero point problems of the sum of two monotone mappings
The purpose of this paper is to investigate the problem of finding a common element of the
set of zero points of the sum of two operators and the fixed point set of a quasi-nonexpansive …
set of zero points of the sum of two operators and the fixed point set of a quasi-nonexpansive …
[HTML][HTML] Strong convergence of a splitting algorithm for treating monotone operators
SY Cho, X Qin, L Wang - Fixed Point Theory and Applications, 2014 - Springer
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Inertial Douglas–Rachford splitting for monotone inclusion problems
RI Boţ, ER Csetnek, C Hendrich - Applied Mathematics and Computation, 2015 - Elsevier
We propose an inertial Douglas–Rachford splitting algorithm for finding the set of zeros of
the sum of two maximally monotone operators in Hilbert spaces and investigate its …
the sum of two maximally monotone operators in Hilbert spaces and investigate its …
[HTML][HTML] Convergence of a splitting inertial proximal method for monotone operators
A Moudafi, M Oliny - Journal of Computational and Applied Mathematics, 2003 - Elsevier
Convergence of a splitting inertial proximal method for monotone operators - ScienceDirect
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A strong convergence result involving an inertial forward–backward algorithm for monotone inclusions
Our interest in this paper is to prove a strong convergence result for finding a zero of the sum
of two monotone operators, with one of the two operators being co-coercive using an …
of two monotone operators, with one of the two operators being co-coercive using an …
Strong convergence theorems for maximal monotone operators with nonlinear mappings in Hilbert spaces
S Takahashi, W Takahashi, M Toyoda - Journal of Optimization Theory and …, 2010 - Springer
Let C be a closed and convex subset of a real Hilbert space H. Let T be a nonexpansive
mapping of C into itself, A be an α-inverse strongly-monotone mapping of C into H and let B …
mapping of C into itself, A be an α-inverse strongly-monotone mapping of C into H and let B …
[PDF][PDF] Regularization inertial proximal point algorithm for monotone hemicontinuous mapping and inverse strongly monotone mappings in Hilbert spaces
The purpose of this paper is to present a regularization variant of the inertial proximal point
algorithm for finding a common element of the set of solutions for a variational inequality …
algorithm for finding a common element of the set of solutions for a variational inequality …
Strong convergence theorems for maximal and inverse-strongly monotone mappings in Hilbert spaces and applications
W Takahashi - Journal of Optimization Theory and Applications, 2013 - Springer
In this paper, we prove two strong convergence theorems for finding a common point of the
set of zero points of the addition of an inverse-strongly monotone mapping and a maximal …
set of zero points of the addition of an inverse-strongly monotone mapping and a maximal …
[PDF][PDF] An inertial forward-backward splitting method for approximating solutions of certain optimization problems
The purpose of this paper is to introduce an inertial-type iterative algorithm for approximating
solutions of a split general system of variational inequalities, minimization problems and …
solutions of a split general system of variational inequalities, minimization problems and …