# Search results for: Yisheng Song

Journal of Inequalities and Applications > 2019 > 2019 > 1 > 1-14

*Z*-eigenpair of irreducible nonnegative tensors. By estimating the ratio of the smallest and largest components of a positive

*Z*-eigenvector for a nonnegative tensor, we present some bounds for the eigenvector and

*Z*-spectral radius of an irreducible and weakly symmetric nonnegative...

Numerical Algorithms > 2019 > 80 > 4 > 1181-1201

Frontiers of Mathematics in China > 2018 > 13 > 2 > 255-276

Journal of Fixed Point Theory and Applications > 2018 > 20 > 1 > 1-13

*u*...

Journal of Optimization Theory and Applications > 2018 > 176 > 2 > 289-305

Linear Algebra and its Applications > 2017 > 532 > C > 8-24

Optimization Letters > 2017 > 11 > 7 > 1407-1426

Applied Mathematics and Computation > 2016 > 287-288 > C > 74-82

Computational Optimization and Applications > 2016 > 65 > 3 > 781-797

Fixed Point Theory and Applications > 2016 > 2016 > 1 > 1-11

*T*in a Banach space

*E*with the partial order ‘≤’, where a such mapping may be discontinuous. In particular, in finite dimensional spaces, such a mapping

*T*has a fixed point in

*E*if and only if the sequence { T n 0 } is bounded in

*E*. In order to find a fixed point of such a mapping...

Journal of Global Optimization > 2016 > 64 > 3 > 563-575

*H*-eigenvalue and Pareto

*Z*-eigenvalue are introduced for studying constrained minimization problem and the necessary and sufficient conditions of such eigenvalues are given. It is proved that a symmetric tensor has at least one Pareto

*H*-eigenvalue (Pareto

*Z*-eigenvalue). Furthermore, the minimum Pareto

*H*-eigenvalue (or Pareto

*Z*-eigenvalue) of a symmetric tensor...

Journal of Optimization Theory and Applications > 2016 > 169 > 3 > 1069-1078

Journal of Optimization Theory and Applications > 2016 > 170 > 1 > 85-96

Journal of Optimization Theory and Applications > 2015 > 165 > 3 > 854-873

Linear Algebra and Its Applications > 2014 > 457 > Complete > 303-312

_{0}tensor or not. In this paper, we show that a symmetric B tensor can always be decomposed to the sum of a strictly diagonally dominated symmetric M tensor and several positive multiples of partially all one tensors, and a symmetric B

_{0}tensor can always be decomposed to the sum of a diagonally dominated symmetric M tensor...

Linear Algebra and Its Applications > 2014 > 451 > Complete > 1-14

Applied Mathematics and Computation > 2014 > 233 > Complete > 369-376

Frontiers of Mathematics in China > 2014 > 9 > 1 > 181-199

*T*defined on a Banach space can be turned into an Edelstein contraction with respect to Hilbert’s projective metric. By applying the Edelstein contraction theorem, a nonlinear version of the famous Krein-Rutman theorem is presented, and a simple iteration process {

*T*

^{ k }

*x*/‖

*T*

^{ k }

*x*‖} (

*∀ x*∈

*P*

^{+}) is given for finding...

Fixed Point Theory and Applications > 2014 > 2014 > 1 > 1-11

*ψ*-firmly nonexpansive mapping, which includes a firmly nonexpansive mapping as a special case in a uniformly convex Banach space. It is shown that every bounded closed convex subset of a reflexive Banach space has the fixed point property for

*ψ*-firmly nonexpansive mappings, an important subclass of nonexpansive mappings. Furthermore, Picard iteration of this class of mappings...

Journal of Global Optimization > 2013 > 55 > 4 > 831-837

*T*, we shall show strong convergence of the regularization method for Rockafellar’s proximal point algorithm under more relaxed conditions on the sequences {

*r*

_{ k }} and {

*t*

_{ k }}, $$\lim\limits_{k\to\infty}t_k = 0;\quad \sum\limits_{k=0}^{+\infty}t_k = \infty;\quad\ \liminf\limits_{k\to\infty}r_k...