[PDF][PDF] A new inertial-projection algorithm for approximating common solution of variational inequality and fixed point problems of multivalued mappings
In this paper, we present a new modified self-adaptive inertial subgradient extragradient
algorithm in which the two projections are made onto some half spaces. Moreover, under …
algorithm in which the two projections are made onto some half spaces. Moreover, under …
Iterative methods for generalized split feasibility problems in Hilbert spaces
W Takahashi, HK Xu, JC Yao - Set-Valued and Variational Analysis, 2015 - Springer
Generalized split feasibility problems governed by generalized hybrid mappings are studied
via iterative methods. Several algorithms are introduced to solve them. In particular, weak …
via iterative methods. Several algorithms are introduced to solve them. In particular, weak …
THE SHRINKING PROJECTION METHOD FOR A FINITE FAMILY OF DEMIMETRIC MAPPINGS WITH VARIATIONAL INEQUALITY PROBLEMS IN A HILBERT …
W Takahashi, CF Wen, JC Yao - Fixed Point Theory, 2018 - search.ebscohost.com
In this paper, using a new nonlinear mapping called demimetric and the shrinking projection
method, we prove a strong convergence theorem for finding a common element of the set of …
method, we prove a strong convergence theorem for finding a common element of the set of …
A new iterative method for equilibrium problems and fixed point problems of infinitely nonexpansive mappings and monotone mappings
J Zhao, S He - Applied Mathematics and Computation, 2009 - Elsevier
In this paper, we introduce a new iterative scheme for finding the common element of the set
of common fixed points of infinitely many nonexpansive mappings, the set of solutions of an …
of common fixed points of infinitely many nonexpansive mappings, the set of solutions of an …
[PDF][PDF] A new iteration method for nonexpansive mappings and monotone mappings in Hilbert spaces
JS Jung - Journal of Inequalities and Applications, 2010 - Springer
We introduce a new composite iterative scheme by the viscosity approximation method for
nonexpansive mappings and monotone mappings in a Hilbert space. It is proved that the …
nonexpansive mappings and monotone mappings in a Hilbert space. It is proved that the …
Approximate inertial proximal methods using the enlargement of maximal monotone operators
A Moudafi, E Elizabeth - International Journal of Pure and …, 2003 - hal.univ-antilles.fr
An approximate procedure for solving the problem of nding a zero of a maximal monotone
operator is proposed and its convergence is established under various conditions. More …
operator is proposed and its convergence is established under various conditions. More …
Strong convergence of inertial forward–backward methods for solving monotone inclusions
B Tan, SY Cho - Applicable Analysis, 2022 - Taylor & Francis
The paper presents four modifications of the inertial forward–backward splitting method for
monotone inclusion problems in the framework of real Hilbert spaces. The advantages of our …
monotone inclusion problems in the framework of real Hilbert spaces. The advantages of our …
A new hybrid iterative method for solution of equilibrium problems and fixed point problems for an inverse strongly monotone operator and a nonexpansive mapping
P Kumam - Journal of Applied Mathematics and Computing, 2009 - Springer
In this paper, we introduce an iterative scheme by a new hybrid method for finding a
common element of the set of fixed points of a nonexpansive mapping, the set of solutions of …
common element of the set of fixed points of a nonexpansive mapping, the set of solutions of …
Weak and strong convergence theorems for maximal monotone operators in a Banach space
S Kamimura, F Kohsaka, W Takahashi - Set-Valued Analysis, 2004 - Springer
In this paper, we introduce an iterative sequence for finding a solution of a maximal
monotone operator in a uniformly convex Banach space. Then we first prove a strong …
monotone operator in a uniformly convex Banach space. Then we first prove a strong …
Strong convergence results for convex minimization and monotone variational inclusion problems in Hilbert space
In this paper, we propose a new modification of the Gradient Projection Algorithm and the
Forward–Backward Algorithm. Using our proposed algorithms, we establish two strong …
Forward–Backward Algorithm. Using our proposed algorithms, we establish two strong …