Results 41 to 50 of about 1,600 (140)
Maximality of the sum of a maximally monotone linear relation and a maximally monotone operator
, 2012 The most famous open problem in Monotone Operator Theory concerns the maximal monotonicity of the sum of two maximally monotone operators provided that Rockafellar's constraint qualification holds. In this paper, we prove the maximal monotonicity of $A+
Borwein, Jonathan M., Yao, Liangjin
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The contraction-proximal point algorithm with square-summable errors
, 2013 In this paper, we study the contraction-proximal point algorithm for approximating a zero of a maximal monotone mapping. The norm convergence of such an algorithm has been established under two new conditions.
C. Tian, Fenghui Wang
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LIBOR additive model calibration to swaptions markets [PDF]
, 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
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On the order of the operators in the Douglas-Rachford algorithm
, 2015 The Douglas-Rachford algorithm is a popular method for finding zeros of sums of monotone operators. By its definition, the Douglas-Rachford operator is not symmetric with respect to the order of the two operators.
Bauschke, Heinz H., Moursi, Walaa M.
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A projection method for bilevel variational inequalities
, 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
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, 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
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Iterative algorithms for minimum-norm fixed point of non-expansive mapping in hilbert space
, 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
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New algorithms designed for the split common fixed point problem of quasi-pseudocontractions
, 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
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Strong convergence theorem of two-step iterative algorithm for split feasibility problems
, 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
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Monotone Linear Relations: Maximality and Fitzpatrick Functions [PDF]
, 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
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