Results 71 to 80 of about 748 (130)

Nonexpansive mappings and monotone vector fields in Hadamard manifolds [PDF]

, 2009
This paper briefly surveys some recent advances in the investigation of nonexpansive mappings and monotone vector fields, focusing in the extension of basic results of the classical nonlinear functional analysis from Banach spaces to the class of ...
Martín Márquez, Victoria
core  

Stochastic Block Mirror Descent Methods for Nonsmooth and Stochastic Optimization [PDF]

, 2013
In this paper, we present a new stochastic algorithm, namely the stochastic block mirror descent (SBMD) method for solving large-scale nonsmooth and stochastic optimization problems. The basic idea of this algorithm is to incorporate the block-coordinate
Dang, Cong D., Lan, Guanghui
core  

Subgradient extragradient method with double inertial steps for quasi-monotone variational inequalities

Filomat, 2023
In this paper, we present a modified subgradient extragradient method with double inertial extrapolation terms and a non-monotonic adaptive step size for solving quasi-monotone and Lipschitz continuous variational inequalities in real Hilbert spaces.
Haiying Li, Xingfang Wang
openaire   +1 more source

Mildly Inertial Subgradient Extragradient Method for Variational Inequalities Involving an Asymptotically Nonexpansive and Finitely Many Nonexpansive Mappings

Mathematics, 2019
In a real Hilbert space, let the notation VIP indicate a variational inequality problem for a Lipschitzian, pseudomonotone operator, and let CFPP denote a common fixed-point problem of an asymptotically nonexpansive mapping and finitely many nonexpansive
Lu-Chuan Ceng, Xiaolong Qin, Yekini Shehu, Jen-Chih Yao   +3 more
doaj   +1 more source

Accelerated Hybrid Subgradient Extragradient Methods for Solving Bilevel Split Quasimonotone Variational Inequality Problems

Journal of Optimization, Differential Equations and Their Applications
In this paper, we introduce and study a modified inertial subgradient extragradient iterative algorithm for solving bilevel split quasimonotone variational inequality problems with a fixed point constraint of demimetric mappings in the framework of real ...
J. A. Abuchu, G. C. Ugwunnadi, V. Darvish, O. K. Narain, M. Muslikh   +4 more
doaj   +1 more source

A new inertial condition on the subgradient extragradient method for solving pseudomonotone equilibrium problem

Communications in Nonlinear Science and Numerical Simulation
In this paper we study the pseudomonotone equilibrium problem. We consider a new inertial condition for the subgradient extragradient method with self-adaptive step size for approximating a solution of the equilibrium problem in a real Hilbert space.
Chinedu Izuchukwu, Grace Nnennaya Ogwo, Bertin Zinsou   +2 more
openaire   +3 more sources

A Hybrid Projection Extragradient Method for Variational Inequality and Hierarchical Fixed-Point Problems

Mathematics
This study proposes a new strongly convergent iterative framework obtained by combining a Krasnosel’skiǐ–Mann type subgradient extragradient process with a hybrid projection strategy and an inertial extrapolation mechanism.
Rehan Ali, Monairah Alansari, Mohammad Farid   +2 more
doaj   +1 more source

A golden ratio technique for equilibrium problem in reflexive Banach spaces

Demonstratio Mathematica
In this article, we present a self-adaptive subgradient extragradient method for approximating solutions of equilibrium problems with pseudomonotone and Lipschitz type bifunctions in the context of reflexive Banach spaces.
Abass Hammed A., Adamu Abubakar, Oyewole Olawale K., Aphane Maggie   +3 more
doaj   +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

Block-Coordinate Frank-Wolfe Optimization for Structural SVMs

, 2013
We propose a randomized block-coordinate variant of the classic Frank-Wolfe algorithm for convex optimization with block-separable constraints. Despite its lower iteration cost, we show that it achieves a similar convergence rate in duality gap as the ...
Jaggi, Martin, Lacoste-Julien, Simon, Pletscher, Patrick, Schmidt, Mark   +3 more
core   +3 more sources