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 …

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 …

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 …

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 …

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 …

[PDF][PDF] Strong and weak convergence theorems for common solutions of generalized equilibrium problems and zeros of maximal monotone operators

LC Zeng, QH Ansari, DS Shyu, JC Yao - Fixed Point Theory and …, 2010 - Springer
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 …

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 …

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 …

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 …

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 …