Results 61 to 70 of about 202 (128)

Solving the Variational Inequality Problem Defined on Intersection of Finite Level Sets

Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
Consider the variational inequality VI(C, F) of finding a point x* ∈ C satisfying the property 〈Fx*, x − x*〉≥0, for all x ∈ C, where C is the intersection of finite level sets of convex functions defined on a real Hilbert space H and F : H → H is an L‐Lipschitzian and η‐strongly monotone operator.
Songnian He, Caiping Yang, Simeon Reich
wiley   +1 more source

Implicit Methods for Equilibrium Problems on Hadamard Manifolds

Journal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012
We use the auxiliary principle technique to suggest and analyze an implicit method for solving the equilibrium problems on Hadamard manifolds. The convergence of this new implicit method requires only the speudomonotonicity, which is a weaker condition than monotonicity. Some special cases are also considered.
Muhammad Aslam Noor, Saira Zainab, Yonghong Yao, Rudong Chen   +3 more
wiley   +1 more source

Modified Halfspace‐Relaxation Projection Methods for Solving the Split Feasibility Problem

Advances in Operations Research, Volume 2012, Issue 1, 2012., 2012
This paper presents modified halfspace‐relaxation projection (HRP) methods for solving the split feasibility problem (SFP). Incorporating with the techniques of identifying the optimal step length with positive lower bounds, the new methods improve the efficiencies of the HRP method (Qu and Xiu (2008)). Some numerical results are reported to verify the
Min Li, Abdellah Bnouhachem
wiley   +1 more source

A new subgradient extragradient method for solving the split modified system of variational inequality problems and fixed point problem

Journal of Inequalities and Applications, 2022
We introduce a new subgradient extragradient algorithm utilizing the concept of the set of solutions of the split modified system of variational inequality problems (SMSVIP).
Anchalee Sripattanet, Atid Kangtunyakarn
doaj   +1 more source

Inertial Optimization Based Two-Step Methods for Solving Equilibrium Problems with Applications in Variational Inequality Problems and Growth Control Equilibrium Models

Energies, 2020
This manuscript aims to incorporate an inertial scheme with Popov’s subgradient extragradient method to solve equilibrium problems that involve two different classes of bifunction.
Habib ur Rehman, Poom Kumam, Meshal Shutaywi, Nasser Aedh Alreshidi , Wiyada Kumam   +4 more
doaj   +1 more source

Dynamical inertial extragradient techniques for solving equilibrium and fixed-point problems in real Hilbert spaces

Journal of Inequalities and Applications, 2023
In this paper, we propose new methods for finding a common solution to pseudomonotone and Lipschitz-type equilibrium problems, as well as a fixed-point problem for demicontractive mapping in real Hilbert spaces.
Bancha Panyanak, Chainarong Khunpanuk, Nattawut Pholasa, Nuttapol Pakkaranang   +3 more
doaj   +1 more source

Image and signal recovery via a novel alternating golden ratio two-subgradient extragradient method

Ain Shams Engineering Journal
We introduce and analyze a novel two-subgradient extragradient method (TSEGM) for solving monotone variational inequality problems (VIPs) in real Hilbert spaces.
Habib ur Rehman, Kamonrat Sombut, Hasanen A. Hammad, Thidaporn Seangwattana   +3 more
doaj   +1 more source

Strong Convergence of Extragradient-Type Method to Solve Pseudomonotone Variational Inequalities Problems

Axioms, 2020
A number of applications from mathematical programmings, such as minimax problems, penalization methods and fixed-point problems can be formulated as a variational inequality model.
Nopparat Wairojjana, Nuttapol Pakkaranang, Habib ur Rehman, Nattawut Pholasa, Tiwabhorn Khanpanuk   +4 more
doaj   +1 more source

A subgradient extragradient algorithm for solving monotone variational inequalities in Banach spaces

Journal of Inequalities and Applications, 2020
In this paper, we introduce an algorithm for solving classical variational inequalities problem with Lipschitz continuous and monotone mapping in Banach space. We modify the subgradient extragradient methods with a new and simple iterative step size, the
Fei Ma
doaj   +1 more source

Analysis of two versions of relaxed inertial algorithms with Bregman divergences for solving variational inequalities

, 2022
In this paper, we introduce and analyze two new inertial-like algorithms with the Bregman divergences for solving the pseudomonotone variational inequality problem in a real Hilbert space. The first algorithm is inspired by the Halpern-type iteration and
Sunthrayuth, Pongsakorn, Jolaoso, Lateef Olakunle, Cholamjiak, Prasit, Cho, Yeol Je   +3 more
core   +1 more source