Results 41 to 50 of about 1,574 (118)

A projection method for bilevel variational inequalities

open access: yes, 2014
A fixed point iteration algorithm is introduced to solve bilevel monotone variational inequalities. The algorithm uses simple projection sequences. Strong convergence of the iteration sequences generated by the algorithm to the solution is guaranteed ...
Tran T. H. Anh, L. B. Long, T. Anh
semanticscholar   +1 more source

LIBOR additive model calibration to swaptions markets [PDF]

open access: yes, 2008
In the current paper, we introduce a new calibration methodology for the LIBOR market model driven by LIBOR additive processes based in an inverse problem.
Colino, Jesús P.   +2 more
core   +1 more source

Iterative algorithms for minimum-norm fixed point of non-expansive mapping in hilbert space

open access: yes, 2012
The purpose of this article is to introduce two iterative algorithms for finding the least norm fixed point of nonexpansive mappings. We provide two algorithms, one implicit and another explicit, from which strong convergence theorems are obtained in ...
Yong Cai, Yuchao Tang, Li-Wei Liu
semanticscholar   +1 more source

A smoothing Newton-type method for second-order cone programming problems based on a new smoothing Fischer-Burmeister function

open access: yes, 2011
A new smoothing function of the well known Fischer-Burmeister function is given. Based on this new function, a smoothing Newton-type method is proposed for solving second-order cone programming.
Liang Fang, Zengzhe Feng
semanticscholar   +1 more source

Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type

open access: yes, 2011
We show that every maximally monotone operator of Fitzpatrick-Phelps type defined on a real Banach space must be of dense type. This provides an affirmative answer to a question posed by Stephen Simons in 2001 and implies that various important notions ...
Bauschke, Heinz H.   +3 more
core   +2 more sources

New algorithms designed for the split common fixed point problem of quasi-pseudocontractions

open access: yes, 2014
In this paper, we study the split common fixed point problem, which is to find a fixed point of a quasi-pseudocontractive mapping in one space whose image under a linear transformation is a fixed point of anther quasi-pseudocontractive mapping in the ...
Lijun Zhu   +3 more
semanticscholar   +1 more source

Monotone Linear Relations: Maximality and Fitzpatrick Functions [PDF]

open access: yes, 2008
We analyze and characterize maximal monotonicity of linear relations (set-valued operators with linear graphs). An important tool in our study are Fitzpatrick functions.
Bauschke, Heinz H.   +2 more
core   +1 more source

Strong convergence theorem of two-step iterative algorithm for split feasibility problems

open access: yes, 2014
The main purpose of this paper is to introduce a two-step iterative algorithm for split feasibility problems such that the strong convergence is guaranteed. Our result extends and improves the corresponding results of He et al. and some others.MSC:90C25,
Jinfang Tang, Shih-sen Chang
semanticscholar   +1 more source

Normalized and standard Dantzig estimators: Two approaches

open access: yes, 2015
We reconsider the definition of the Dantzig estimator and show that, in contrast to the LASSO, standardization of an experimental matrix leads in general to a different estimator than in the case when it is based on the original data.
J. Mielniczuk, Hubert Szymanowski
semanticscholar   +1 more source

Algorithmic and analytical approach to the split common fixed points problem

open access: yes, 2014
The split problem, especially the split common fixed point problem, has been studied by many authors. In this paper, we study the split common fixed point problem for the pseudo-contractive mappings and the quasi-nonexpansive mappings.
Lijun Zhu   +3 more
semanticscholar   +1 more source

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