Results 71 to 80 of about 745 (143)

Subgradient Extragradient Method for Finite Lipschitzian Demicontractions and Variational Inequality Problems in a Hilbert Space

Journal of Mathematics
In this research, the modified subgradient extragradient method and K-mapping generated by a finite family of finite Lipschitzian demicontractions are introduced.
Sarawut Suwannaut
doaj   +1 more source

Fixed points in the family of convex representations of a maximal monotone operator

, 2008
Any maximal monotone operator can be characterized by a convex function. The family of such convex functions is invariant under a transformation connected with the Fenchel-Legendre conjugation.
Svaiter, B. F.
core   +1 more source

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  

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

Superiorization and Perturbation Resilience of Algorithms: A Continuously Updated Bibliography

, 2020
This document presents a, (mostly) chronologically ordered, bibliography of scientific publications on the superiorization methodology and perturbation resilience of algorithms which is compiled and continuously updated by us at: http://math.haifa.ac.il ...
Censor, Yair
core  

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

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

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

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