Approximating solutions of equilibrium problems in Hadamard spaces
Hadi Khatibzadeh,Vahid Mohebbi +1 more
Reads0
Chats0
TLDR
In this paper, the authors studied convergence and strong convergence of the sequence generated by the extragradient method for pseudo-monotone equilibrium problems in Hadamard spaces.Abstract:
In this paper, we study -convergence and strong convergence of the sequence generated by the extragradient method for pseudo-monotone equilibrium problems in Hadamard spaces. We first show -convergence of the generated sequence to a solution of the equilibrium problem, then the strong convergence of Halpern regularization method is proved. Finally we give some examples where the main results can be applied. 2010 Mathematics Subject Classification: 90C33; 74G10read more
Citations
More filters
Journal ArticleDOI
Extragradient Methods for Vector Equilibrium Problems in Banach Spaces
Alfredo N. Iusem,Vahid Mohebbi +1 more
TL;DR: In this article, the vector equilibrium problem is extended to vector valued bifunctions in a Banach space setting, and an extragradient method for solving it is proposed.
Journal ArticleDOI
Convergence analysis of the extragradient method for equilibrium problems in Hadamard spaces
Alfredo N. Iusem,Vahid Mohebbi +1 more
TL;DR: In this paper, an extragradient method for solving equilibrium problems of pseudo-monotone type in Hadamard spaces is proposed, under standard assumptions on the bifunction.
Journal ArticleDOI
An extragradient algorithm for solving equilibrium problem and zero point problem in Hadamard spaces
R. Moharami,G. Zamani Eskandani +1 more
TL;DR: In this paper, a hybrid extragradient method is used to approximate a common element of the set of solutions of an equilibrium problem and a common zero of a finite family of monotone operators in Hadamard spaces.
Book ChapterDOI
Adaptive Extraproximal Algorithm for the Equilibrium Problem in Hadamard Spaces
Yana Vedel,Vladimir V. Semenov +1 more
TL;DR: In this paper, a new iterative adaptive extra-proximal algorithm is proposed and studied for equilibrium problems in Hadamard metric spaces, which does not calculate bifunction values at additional points and does not require knowledge of information on of bifunctions's Lipschitz constants.
Journal ArticleDOI
An Adaptive Two-Stage Proximal Algorithm for Equilibrium Problems in Hadamard Spaces
TL;DR: In this paper, a new iterative adaptive two-stage proximal algorithm is proposed and analyzed for equilibrium problems in Hadamard metric spaces, which does not calculate bifunction values at additional points and does not require knowledge of the value of bifunctions's Lipschitz constants.
References
More filters
Journal Article
Equilibrium programming in Hilbert spaces
TL;DR: Several methods for solving systems of equilibrium problems in Hilbert spaces are presented and their convergence properties are established in this article, including proximal-like block-iterative algorithms for general systems, as well as regularization and splitting algorithms for single equilibrium problems.
Book
Combined Relaxation Methods for Variational Inequalities
TL;DR: A Frank Wolfe Type Auxiliary Procedure for Variational Inequalities with Nonlinear Constraints Variational inequalities with Multivalued Mappings has been proposed in this article.
Journal ArticleDOI
On Δ-convergence theorems in CAT(0) spaces
S. Dhompongsa,B. Panyanak +1 more
TL;DR: The CAT(0) space analogs of results on weak convergence of the Picard, Mann and Ishikawa iterates proved in uniformly convex Banach spaces by Opial and Tan and Xu are given.
Book
Nonpositive Curvature: Geometric and Analytic Aspects
TL;DR: In this paper, the Bochner-Matsushima type identities for harmonic maps and rigidity theorems for Riemannian manifolds of negative or non-positive sectional curvature are given.