Forward–backward splitting algorithm for fixed point problems and zeros of the sum of monotone operators
V Dadashi, M Postolache - Arabian Journal of Mathematics, 2020 - Springer
In this paper, we construct a forward–backward splitting algorithm for approximating a zero
of the sum of an α α-inverse strongly monotone operator and a maximal monotone operator …
of the sum of an α α-inverse strongly monotone operator and a maximal monotone operator …
Hybrid proximal point algorithm and applications to equilibrium problems and convex programming
V Dadashi, M Postolache - Journal of Optimization Theory and …, 2017 - Springer
In this paper, a hybrid projection algorithm for a countable family of mappings is considered
in Banach spaces. The sequence generated by algorithm converges strongly to the common …
in Banach spaces. The sequence generated by algorithm converges strongly to the common …
On the weak and strong convergence of the proximal point algorithm in reflexive Banach spaces
V Dadashi, H Khatibzadeh - Optimization, 2017 - Taylor & Francis
In this paper, some proximal point algorithms (PPAs) for maximal monotone operators in
Banach spaces are considered. We obtain some results on the boundedness and the …
Banach spaces are considered. We obtain some results on the boundedness and the …
Inertial Haugazeau's hybrid subgradient extragradient algorithm for variational inequality problems in Banach spaces
M Tian, BN Jiang - Optimization, 2021 - Taylor & Francis
The variational inequality problem plays an important role in nonlinear analysis and
optimization. It is a generalization of the nonlinear complementarity problem. For a …
optimization. It is a generalization of the nonlinear complementarity problem. For a …
Generalized mixed equilibrium problems for maximal monotone operators and two relatively quasi-nonexpansive mappings
K Wattanawitoon, P Kumam - Thai Journal of Mathematics, 2012 - thaijmath2.in.cmu.ac.th
In this paper, we prove the strong convergence theorems of modified hybrid projection
methods for finding a common element of the set of solutions of generalized mixed …
methods for finding a common element of the set of solutions of generalized mixed …
[PDF][PDF] Strong and weak convergence theorems for common solutions of generalized equilibrium problems and zeros of maximal monotone operators
The purpose of this paper is to introduce and study two modified hybrid proximal-point
algorithms for finding a common element of the solution set EP of a generalized equilibrium …
algorithms for finding a common element of the solution set EP of a generalized equilibrium …
Hybrid proximal-point methods for common solutions of equilibrium problems and zeros of maximal monotone operators
LC Ceng, G Mastroeni, JC Yao - Journal of Optimization Theory and …, 2009 - Springer
The purpose of this paper is to introduce and study two hybrid proximal-point algorithms for
finding a common element of the set of solutions of an equilibrium problem and the set of …
finding a common element of the set of solutions of an equilibrium problem and the set of …
Strong convergence theorems for firmly nonexpansive-type mappings and equilibrium problems in Banach spaces
J Chen, Z Wan, Y Zou - Optimization, 2013 - Taylor & Francis
In this article, we propose and investigate several iterative methods for approximating fixed
points of a firmly nonexpansive-type mapping and for finding a common element of the set of …
points of a firmly nonexpansive-type mapping and for finding a common element of the set of …
Hybrid ProximalPoint Methods for Zeros of Maximal Monotone Operators, Variational Inequalities and Mixed Equilibrium Problems
K Wattanawitoon, P Kumam - International Journal of …, 2011 - Wiley Online Library
We prove strong and weak convergence theorems of modified hybrid proximalpoint
algorithms for finding a common element of the zero point of a maximal monotone operator …
algorithms for finding a common element of the zero point of a maximal monotone operator …
Modified Proximal point algorithms for finding a zero point of maximal monotone operators, generalized mixed equilibrium problems and variational inequalities
K Wattanawitoon, P Kumam - Journal of Inequalities and Applications, 2012 - Springer
In this article, we prove strong and weak convergence theorems of modified proximal point
algorithms for finding a common element of the zero point of maximal monotone operators …
algorithms for finding a common element of the zero point of maximal monotone operators …