Results 61 to 70 of about 2,114 (158)
Abstract and Applied Analysis, 2013 We first introduce an implicit relaxed method with regularization for finding a common element of the set of fixed points of an asymptotically strict pseudocontractive mapping S in the intermediate sense and the set of solutions of the minimization ...
Lu-Chuan Ceng +2 more
doaj +1 more source
Extension of Extragradient Techniques for Variational Inequalities
Mathematics, 2019 An extragradient type method for finding the common solutions of two variational inequalities has been proposed. The convergence result of the algorithm is given under mild conditions on the algorithm parameters.
Yonghong Yao +3 more
doaj +1 more source
The Extragradient (EG) method stands as a cornerstone algorithm for solving monotone nonlinear equations but faces two important unresolved challenges: (i) how to select stepsizes without relying on the global Lipschitz constant or expensive line-search procedures, and (ii) how to reduce the two full evaluations of the mapping required per iteration to
Liu, Xiaozhi, Xia, Yong
openaire +2 more sources
Cyclic subgradient extragradient methods for equilibrium problems [PDF]
Arabian Journal of Mathematics, 2016 En este artículo, presentamos un algoritmo de extragradiente de subgradiente cíclico y su forma modificada para encontrar una solución de un sistema de problemas de equilibrio para una clase de bifunciones continuas de tipo pseudomonotono y Lipschitz. La idea principal de estos algoritmos se origina a partir de varios resultados previamente conocidos ...
openaire +1 more source
An Extragradient Method for Fixed Point Problems and Variational Inequality Problems
Journal of Inequalities and Applications, 2007 We present an extragradient method for fixed point problems and variational inequality problems. Using this method, we can find the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality
Yonghong Yao +2 more
doaj +2 more sources
MathematicsThis research focuses on developing a novel approach to finding fixed points of quasi-nonexpansive mappings without relying on the demi-closedness condition, a common requirement in previous studies. The approach is based on the Subgradient Extragradient
Anchalee Sripattanet, Atid Kangtunyakarn
doaj +1 more source
Transit assignment: Approach-based formulation, extragradient method, and paradox [PDF]
Transportation Research Part B: Methodological, 2014 Abstract This paper uses the concept of approach proportion to propose a novel variational inequality (VI) formulation of the frequency-based transit assignment problem. The approach proportion is defined as the proportion of passengers leaving a node through its outgoing link.
Szeto, W. Y., Jiang, Y.
openaire +3 more sources
Mathematics, 2020 We introduce a new projection and contraction method with inertial and self-adaptive techniques for solving variational inequalities and split common fixed point problems in real Hilbert spaces.
Lateef Olakunle Jolaoso, Maggie Aphane
doaj +1 more source
Reducing Noise in GAN Training with Variance Reduced Extragradient
, 2020 We study the effect of the stochastic gradient noise on the training of generative adversarial networks (GANs) and show that it can prevent the convergence of standard game optimization methods, while the batch version converges.
Chavdarova, Tatjana +3 more
core
A new self-adaptive method for solving resolvent of sum of two monotone operators in Banach spaces
Fixed Point Theory and Algorithms for Sciences and Engineering, 2023 We introduce a Tseng extragradient method for solving monotone inclusion problem in Banach space. A strong convergence result of an Halpern inertial extrapolation method for solving the resolvent of sum of two monotone operators without the knowledge of ...
H. A. Abass, M. Aphane, O. K. Oyewole
doaj +1 more source