Results 21 to 30 of about 2,044 (97)

Modified subgradient extragradient method for system of variational inclusion problem and finite family of variational inequalities problem in real Hilbert space

Journal of Inequalities and Applications, 2021
For the purpose of this article, we introduce a modified form of a generalized system of variational inclusions, called the generalized system of modified variational inclusion problems (GSMVIP).
Araya Kheawborisut, Atid Kangtunyakarn
doaj   +1 more source

Approximation results for split equilibrium problems and fixed point problems of nonexpansive semigroup in Hilbert spaces

Advances in Difference Equations, 2020
In this paper, we study a modified extragradient method for computing a common solution to the split equilibrium problem and fixed point problem of a nonexpansive semigroup in real Hilbert spaces.
Yasir Arfat, Poom Kumam, Parinya Sa Ngiamsunthorn, Muhammad Aqeel Ahmad Khan, Hammad Sarwar, Hafiz Fukhar-ud-Din   +5 more
doaj   +1 more source

Strong Convergence of an Inertial Iterative Algorithm for Generalized Mixed Variational‐like Inequality Problem and Bregman Relatively Nonexpansive Mapping in Reflexive Banach Space

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this paper, we consider a generalized mixed variational‐like inequality problem and prove a Minty‐type lemma for its related auxiliary problems in a real Banach space. We prove the existence of a solution of these auxiliary problems and also prove some properties for the solution set of generalized mixed variational‐like inequality problem ...
Saud Fahad Aldosary, Watcharaporn Cholamjiak, Rehan Ali, Mohammad Farid, Jen-Chih Yao   +4 more
wiley   +1 more source

A Generalized Strong Convergence Algorithm in the Presence of Errors for Variational Inequality Problems in Hilbert Spaces

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this paper, we study the strong convergence of an algorithm to solve the variational inequality problem which extends a recent paper (Thong et al., Numerical Algorithms. 78, 1045‐1060 (2018)). We reduce and refine some of their algorithm conditions and we prove the convergence of the algorithm in the presence of some computational errors.
Mostafa Ghadampour, Donal O’Regan, Ebrahim Soori, Ravi P. Agarwal, Ismat Beg   +4 more
wiley   +1 more source

Modified Mann-Type Subgradient Extragradient Rules for Variational Inequalities and Common Fixed Points Implicating Countably Many Nonexpansive Operators

Mathematics, 2022
In a real Hilbert space, let the CFPP, VIP, and HFPP denote the common fixed-point problem of countable nonexpansive operators and asymptotically nonexpansive operator, variational inequality problem, and hierarchical fixed point problem, respectively ...
Yun-Ling Cui, Lu-Chuan Ceng, Fang-Fei Zhang, Cong-Shan Wang, Jian-Ye Li, Hui-Ying Hu, Long He   +6 more
doaj   +1 more source

Mann-Type Extragradient Methods for General Systems of Variational Inequalities with Multivalued Variational Inclusion Constraints in Banach Spaces

Abstract and Applied Analysis, 2013
We introduce Mann-type extragradient methods for a general system of variational inequalities with solutions of a multivalued variational inclusion and common fixed points of a countable family of nonexpansive mappings in real smooth Banach spaces.
Lu-Chuan Ceng, Abdul Latif, Saleh A. Al-Mezel   +2 more
doaj   +1 more source

The Forward-Backward-Forward Method from continuous and discrete perspective for pseudo-monotone variational inequalities in Hilbert spaces

, 2020
Tseng's forward-backward-forward algorithm is a valuable alternative for Korpelevich's extragradient method when solving variational inequalities over a convex and closed set governed by monotone and Lipschitz continuous operators, as it requires in ...
Bot, Radu Ioan, Csetnek, Ernö Robert, Vuong, Phan Tu   +2 more
core   +1 more source

Primal-dual extragradient methods for nonlinear nonsmooth PDE-constrained optimization [PDF]

, 2017
We study the extension of the Chambolle--Pock primal-dual algorithm to nonsmooth optimization problems involving nonlinear operators between function spaces.
Clason, Christian, Valkonen, Tuomo
core   +2 more sources

Relaxed Extragradient Methods with Regularization for General System of Variational Inequalities with Constraints of Split Feasibility and Fixed Point Problems

Abstract and Applied Analysis, 2013
We suggest and analyze relaxed extragradient iterative algorithms with regularization for finding a common element of the solution set of a general system of variational inequalities, the solution set of a split feasibility problem, and the fixed point ...
L. C. Ceng, A. Petruşel, J. C. Yao
doaj   +1 more source

A New Construction and Convergence Analysis of Non-Monotonic Iterative Methods for Solving ρ-Demicontractive Fixed Point Problems and Variational Inequalities Involving Pseudomonotone Mapping

Mathematics, 2022
Two new inertial-type extragradient methods are proposed to find a numerical common solution to the variational inequality problem involving a pseudomonotone and Lipschitz continuous operator, as well as the fixed point problem in real Hilbert spaces ...
Chainarong Khunpanuk, Bancha Panyanak, Nuttapol Pakkaranang   +2 more
doaj   +1 more source