Halpern-type iterative process for solving split common fixed point and monotone variational inclusion problem between Banach spaces
In this paper, we study the split common fixed point and monotone variational inclusion
problem in uniformly convex and 2-uniformly smooth Banach spaces. We propose a Halpern …
problem in uniformly convex and 2-uniformly smooth Banach spaces. We propose a Halpern …
Strong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Hilbert spaces
R Kraikaew, S Saejung - Journal of Optimization Theory and Applications, 2014 - Springer
Building upon the subgradient extragradient method proposed by Censor et al., we prove
the strong convergence of the iterative sequence generated by a modification of this method …
the strong convergence of the iterative sequence generated by a modification of this method …
A strong convergence theorem for solving pseudo-monotone variational inequalities using projection methods
Several iterative methods have been proposed in the literature for solving the variational
inequalities in Hilbert or Banach spaces, where the underlying operator A is monotone and …
inequalities in Hilbert or Banach spaces, where the underlying operator A is monotone and …
An iterative algorithm for solving variational inequality, generalized mixed equilibrium, convex minimization and zeros problems for a class of nonexpansive-type …
In this paper, we study a classical monotone and Lipschitz continuous variational inequality
and fixed point problems defined on a level set of a convex function in the framework of …
and fixed point problems defined on a level set of a convex function in the framework of …
Modified hybrid projection methods for finding common solutions to variational inequality problems
In this paper we propose several modified hybrid projection methods for solving common
solutions to variational inequality problems involving monotone and Lipschitz continuous …
solutions to variational inequality problems involving monotone and Lipschitz continuous …
A novel inertial projection and contraction method for solving pseudomonotone variational inequality problems
In this paper, we introduce a new algorithm which combines the inertial contraction
projection method and the Mann-type method (Mann in Proc. Am. Math. Soc. 4: 506–510 …
projection method and the Mann-type method (Mann in Proc. Am. Math. Soc. 4: 506–510 …
Weak and strong convergence theorems for variational inequality problems
In this paper, we study the weak and strong convergence of two algorithms for solving
Lipschitz continuous and monotone variational inequalities. The algorithms are inspired by …
Lipschitz continuous and monotone variational inequalities. The algorithms are inspired by …
Strong convergence results for quasimonotone variational inequalities
A survey of the existing literature reveals that results on quasimonotone variational
inequality problems are scanty in the literature. Moreover, the few existing results are either …
inequality problems are scanty in the literature. Moreover, the few existing results are either …
Inertial shrinking projection algorithm with self-adaptive step size for split generalized equilibrium and fixed point problems for a countable family of nonexpansive …
In this paper, we introduce a shrinking projection method of an inertial type with self-
adaptive step size for finding a common element of the set of solutions of a split generalized …
adaptive step size for finding a common element of the set of solutions of a split generalized …
Fast and simple Bregman projection methods for solving variational inequalities and related problems in Banach spaces
In this paper, we study the problem of finding a common solution to variational inequality
and fixed point problems for a countable family of Bregman weak relatively nonexpansive …
and fixed point problems for a countable family of Bregman weak relatively nonexpansive …