Results 61 to 70 of about 13,235,971 (148)

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

Convergence analysis of a general inertial projection-type method for solving pseudomonotone equilibrium problems with applications

Journal of Inequalities and Applications, 2021
In this paper, we introduce a new algorithm by incorporating an inertial term with a subgradient extragradient algorithm to solve the equilibrium problems involving a pseudomonotone and Lipschitz-type continuous bifunction in real Hilbert spaces.
Habib ur Rehman, Poom Kumam, Aviv Gibali, Wiyada Kumam   +3 more
doaj   +1 more source

Distributed multiagent learning with a broadcast adaptive subgradient method

, 2010
Many applications in multiagent learning are essentially convex optimization problems in which agents have only limited communication and partial information about the function being minimized (examples of such applications include, among others ...
Yamada, I., Jennings, N. R., Jennings, Nicholas R, Cavalcante, R. L. G., Rogers, Alex, Rogers, A., Cavalcante, Renato Luis Garrido, Yamada, Isao   +7 more
core   +2 more sources

Inertial Iterative Schemes with Variable Step Sizes for Variational Inequality Problem Involving Pseudomonotone Operator

Mathematics, 2020
Two inertial subgradient extragradient algorithms for solving variational inequality problems involving pseudomonotone operator are proposed in this article.
Jamilu Abubakar, Poom Kumam, Habib ur Rehman, Abdulkarim Hassan Ibrahim   +3 more
doaj   +1 more source

A Convergent Algorithm for Equilibrium Problem to Predict Prospective Mathematics Teachers’ Technology Integrated Competency

Mathematics, 2022
Educational data classification has become an effective tool for exploring the hidden pattern or relationship in educational data and predicting students’ performance or teachers’ competency.
Nipa Jun-on, Watcharaporn Cholamjiak, Raweerote Suparatulatorn   +2 more
doaj   +1 more source

Accelerated Subgradient Extragradient Algorithm for Solving Bilevel System of Equilibrium Problems

, 2023
In this research paper, we propose a novel approach termed the inertial subgradient extragradient algorithm to solve bilevel system equilibrium problems within the realm of real Hilbert spaces.
Tadchai Yuying, Somyot Plubtieng
core   +1 more source

Inertial-Like Subgradient Extragradient Methods for Variational Inequalities and Fixed Points of Asymptotically Nonexpansive and Strictly Pseudocontractive Mappings

Mathematics, 2019
Let VIP indicate the variational inequality problem with Lipschitzian and pseudomonotone operator and let CFPP denote the common fixed-point problem of an asymptotically nonexpansive mapping and a strictly pseudocontractive mapping in a real Hilbert ...
Lu-Chuan Ceng, Adrian Petruşel, Ching-Feng Wen, Jen-Chih Yao   +3 more
doaj   +1 more source

Convergence Analysis of Altered Inertial Subgradient Extragradient Method for Solving Equilibrium and Fixed Point Problems in Hilbert Spaces

This paper aims to derive weak convergence analysis of the subgradient extragradient method with an alternating inertial step for addressing equilibrium and fixed-point problems in real Hilbert spaces.
Ilhom Ishoqovich Juraev, Fouzia Amir, Sherali Shirinovich Khamidov, Farxod Ixtiyarov, Mekhriddin Junaydulloevich Abdullaev, Nodira Djumayevna Namazova   +5 more
core   +1 more source

On the Parallel Subgradient Extragradient Rule for Solving Systems of Variational Inequalities in Hadamard Manifolds

, 2021
In a Hadamard manifold, let the VIP and SVI represent a variational inequality problem and a system of variational inequalities, respectively, where the SVI consists of two variational inequalities which are of symmetric structure mutually.
Long He, Hong-Ling Fan, Tu-Yan Zhao, Chun-Yan Wang, Dan-Qiong Wang, Hui-Ying Hu, Lu-Chuan Ceng   +6 more
core   +1 more source