Xianfu Wang

发表

Firmly Nonexpansive Mappings and Maximally Monotone Operators: Correspondence and Duality

Heinz H. Bauschke, Sarah M. Moffat, Xianfu Wang, 2011, 1101.4688.

Heinz H. Bauschke, Rafal Goebel, Yves Lucet, 2008, SIAM J. Optim..

The kernel average for two convex functions and its application to the extension and representation of monotone operators

Heinz H. Bauschke, Xianfu Wang, 2009 .

Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative

Heinz H. Bauschke, J. Borwein, S. Reich, 2007 .

Most Maximally Monotone Operators Have a Unique Zero and a Super-regular Resolvent

Xianfu Wang, 2013, 1301.6443.

Compositions and averages of two resolvents: Relative geometry of fixed points sets and a partial an

Heinz H. Bauschke, Xianfu Wang, 2010, 1003.4793.

Maximally monotone linear subspace extensions of monotone subspaces: explicit constructions and characterizations

Xianfu Wang, Liangjin Yao, Xianfu Wang, 2011, Math. Program..

Firmly nonexpansive and Kirszbraun-Valentine extensions: a constructive approach via monotone operator theory

Heinz H. Bauschke, Xianfu Wang, 2008, 0807.1257.

Monotone Linear Relations: Maximality and Fitzpatrick Functions

Heinz H. Bauschke, Xianfu Wang, Liangjin Yao, 2008, 0805.4256.

On Subgradient Projectors

Heinz H. Bauschke, Jia Xu, Xianfu Wang, 2014, SIAM J. Optim..

A projection method for approximating fixed points of quasi nonexpansive mappings without the usual demiclosedness condition

Heinz H. Bauschke, Xianfu Wang, Jiawei Chen, 2012, 1211.1639.

On Douglas–Rachford operators that fail to be proximal mappings

Heinz H. Bauschke, Xianfu Wang, Jason Schaad, 2016, Math. Program..

The Resolvent Order: A Unification of the Orders by Zarantonello, by Loewner, and by Moreau

Heinz H. Bauschke, Xianfu Wang, Sedi Bartz, 2016, SIAM J. Optim..

Lipschitz functions with maximal Clarke subdifferentials are generic

J. Borwein, Xianfu Wang, 2000 .

Volumes of Generalized Unit Balls

Xianfu Wang, 2005 .

An alternate minimization method beyond positive definite proximal regularization: convergence and complexity

Xianfu Wang, Tao Zhang, Jiawei Chen, 2019, Journal of Nonlinear and Variational Analysis.

Restricted Normal Cones and the Method of Alternating Projections: Theory

Heinz H. Bauschke, Hung M. Phan, Xianfu Wang, 2012 .

General Resolvents for Monotone Operators: Characterization and Extension

Heinz H. Bauschke, Xianfu Wang, Liangjin Yao, 2008, 0810.3905.

Subdifferentiability of real functions

Xianfu Wang, 2005 .

On moving averages

Heinz H. Bauschke, Xianfu Wang, Xianfu Wang, 2012, 1206.3610.

Proximal Mappings and Moreau Envelopes of Single-Variable Convex Piecewise Cubic Functions and Multivariable Gauge Functions

Xianfu Wang, C. Planiden, 2019, Nonsmooth Optimization and Its Applications.

The Method of Alternating Relaxed Projections for Two Nonconvex Sets

Heinz H. Bauschke, Hung M. Phan, Xianfu Wang, 2013, Vietnam Journal of Mathematics.

The resolvent average for positive semidefinite matrices

Heinz H. Bauschke, Sarah M. Moffat, Xianfu Wang, 2009, 0910.3705.

On the linear convergence of circumcentered isometry methods

Heinz H. Bauschke, Xianfu Wang, Hui Ouyang, 2019, Numerical Algorithms.

On the Existence of Solutions and Tikhonov Regularization of Hemivariational Inequality Problems

Xianfu Wang, Z. Wan, Guo-ji Tang, 2020, Vietnam Journal of Mathematics.

Construction of Pathological Maximally Monotone Operators on Non-reflexive Banach Spaces

Heinz H. Bauschke, Jonathan M. Borwein, Liangjin Yao, 2011, 1108.1463.

The Brezis–Browder Theorem in a general Banach space

Heinz H. Bauschke, J. Borwein, Xianfu Wang, 2011, 1110.5706.

Typical Properties of Lipschitz Functions

Philip D. Loewen, Xianfu Wang, Xianfu Wang, 2000 .

Monotone operators and "bigger conjugate" functions

Heinz H. Bauschke, J. Borwein, Xianfu Wang, 2011, 1108.2578.

Connectedness of Approximate Efficient Solutions for Generalized Semi-Infinite Vector Optimization Problems

Xianfu Wang, Xinmin Yang, Z. Peng, 2019 .

Fixed points of compositions of nonexpansive mappings: finitely many linear reflectors.

Heinz H. Bauschke, Xianfu Wang, S. Alwadani, 2020, 2004.12582.

Projecting onto rectangular hyperbolic paraboloids in Hilbert space

Heinz H. Bauschke, Manish Krishan Lal, Xianfu Wang, 2022, 2206.04878.

A Bregman inertial forward-reflected-backward method for nonconvex minimization

Xianfu Wang, Ziyuan Wang, 2022, 2207.01170.

Best approximation mappings in Hilbert spaces

Heinz H. Bauschke, Xianfu Wang, Hui Ouyang, 2020, Mathematical programming.

Most Maximally Monotone Operators Have a Unique Zero and a Super-regular Resolvent

Xianfu Wang, 2013, 1301.6443.

On Carlier's inequality

Heinz H. Bauschke, Xianfu Wang, Shambhavi Singh, 2022, 2206.14872.

Finding best approximation pairs for two intersections of closed convex sets

Heinz H. Bauschke, Xianfu Wang, Shambhavi Singh, 2021, Computational optimization and applications.

The Method of Alternating Relaxed Projections for Two Nonconvex Sets

Heinz H. Bauschke, Xianfu Wang, H. Phan, 2013, Vietnam Journal of Mathematics.

A Nonmonotone Trust Region Method for Unconstrained Optimization Problems on Riemannian Manifolds

Xianfu Wang, Xiao-bo Li, Manish Krishan Lal, 2021, Journal of Optimization Theory and Applications.

A mirror inertial forward-reflected-backward splitting: Global convergence and linesearch extension beyond convexity and Lipschitz smoothness

Xianfu Wang, Andreas Themelis, Hongjia Ou, 2022, 2212.01504.

The Projection onto the Cross

Heinz H. Bauschke, Xianfu Wang, Manish Krishan Lal, 2022, Set-Valued and Variational Analysis.

On Douglas–Rachford operators that fail to be proximal mappings

Heinz H. Bauschke, Xianfu Wang, Jason Schaad, 2016, Mathematical programming.

Subgradient Projectors: Extensions, Theory, and Characterizations

Heinz H. Bauschke, Xianfu Wang, Caifang Wang, 2017, Set-Valued and Variational Analysis.

Multi-marginal maximal monotonicity and convex analysis

Heinz H. Bauschke, Xianfu Wang, Sedi Bartz, 2019, Mathematical programming.

Ubiquitous Subdifferentials, rL–density and Maximal Monotonicity

Xianfu Wang, S. Simons, 2015, Set-Valued and Variational Analysis.

Connectedness of Approximate Efficient Solutions for Generalized Semi-Infinite Vector Optimization Problems

Z. Peng, Xianfu Wang, Xin-min Yang, 2017, Set-Valued and Variational Analysis.

The splitting algorithms by Ryu, by Malitsky-Tam, and by Campoy applied to normal cones of linear subspaces converge strongly to the projection onto the intersection

Heinz H. Bauschke, Xianfu Wang, Shambhavi Singh, 2022, 2203.03832.

Epi-convergence: The Moreau Envelope and Generalized Linear-Quadratic Functions

Xianfu Wang, C. Planiden, 2018, Journal of Optimization Theory and Applications.

Variational Analysis on the Signed Distance Functions

Xianfu Wang, Brett Lukens, Honglin Luo, 2018, Journal of Optimization Theory and Applications.

Construction of Pathological Maximally Monotone Operators on Non-reflexive Banach Spaces

Heinz H. Bauschke, J. Borwein, Xianfu Wang, 2012, Set-Valued and Variational Analysis.

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

Heinz H. Bauschke, J. Borwein, Xianfu Wang, 2011, Optimization Letters.

Applying FISTA to optimization problems (with or) without minimizers

Heinz H. Bauschke, Xianfu Wang, Minh N. Bui, 2018, Mathematical Programming.

Projecting onto the Intersection of a Cone and a Sphere

Heinz H. Bauschke, Xianfu Wang, Minh N. Bui, 2017, SIAM J. Optim..

Author Index for Volume 41, 1998

Xianfu Wang, Dashan Fan Lp-boundedness, 1998, Canadian Mathematical Bulletin.

The rate of linear convergence of the Douglas-Rachford algorithm for subspaces is the cosine of the Friedrichs angle

Heinz H. Bauschke, Xianfu Wang, Hung M. Phan, 2013, J. Approx. Theory.

On Borwein--Wiersma Decompositions of Monotone Linear Relations

Heinz H. Bauschke, Xianfu Wang, Liangjin Yao, 2009, SIAM J. Optim..

Generalized monotone operators and their averaged resolvents

Heinz H. Bauschke, Walaa M. Moursi, Xianfu Wang, 2019, Mathematical Programming.

On the Existence of Solutions and Tikhonov Regularization of Hemivariational Inequality Problems

Xianfu Wang, Z. Wan, Guo-ji Tang, 2019, Vietnam Journal of Mathematics.

Fitzpatrick Functions and Continuous Linear Monotone Operators

Heinz H. Bauschke, Jonathan M. Borwein, Xianfu Wang, 2007, SIAM J. Optim..

Every proximal mapping is a resolvent of level proximal subdifferential

Xianfu Wang, Ziyuan Wang, 2023, 2303.02282.

Subgradient Projectors: Extensions, Theory, and Characterizations

Heinz H. Bauschke, Caifang Wang, Xianfu Wang, 2018 .

Epi-convergence: The Moreau Envelope and Generalized Linear-Quadratic Functions

Xianfu Wang, Chayne Planiden, Xianfu Wang, 2018, J. Optim. Theory Appl..

Rectangularity and paramonotonicity of maximally monotone operators

Heinz H. Bauschke, Liangjin Yao, Xianfu Wang, 2012, 1201.4220.

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

Heinz H. Bauschke, Jonathan M. Borwein, Xianfu Wang, 2011, Optim. Lett..

For maximally monotone linear relations, dense type, negative-infimum type, and Fitzpatrick-Phelps type all coincide with monotonicity of the adjoint

Heinz H. Bauschke, Jonathan M. Borwein, Liangjin Yao, 2011, 1103.6239.

Examples of discontinuous maximal monotone linear operators and the solution to a recent problem posed by B.F. Svaiter

Heinz H. Bauschke, Liangjin Yao, Xianfu Wang, 2009, 0909.2675.

Self-dual Regularization of Monotone Operators via the Resolvent Average

Xianfu Wang, Xianfu Wang, 2011, SIAM J. Optim..

On the Finite Convergence of a Projected Cutter Method

Heinz H. Bauschke, Jia Xu, Xianfu Wang, 2014, J. Optim. Theory Appl..

A Bregman projection method for approximating fixed points of quasi-Bregman nonexpansive mappings

Heinz H. Bauschke, Xianfu Wang, Jiawei Chen, 2013, 1309.6402.

Generalized subdifferentials: a Baire categorical approach

Jonathan M. Borwein, Warren B. Moors, Xianfu Wang, 2001 .

Roots of the identity operator and proximal mappings: (classical and phantom) cycles and gap vectors

Heinz H. Bauschke, Xianfu Wang, 2022, 2201.05189.

Attouch-Théra Duality, Generalized Cycles, and Gap Vectors

Heinz H. Bauschke, Xianfu Wang, S. Alwadani, 2021, SIAM J. Optim..

The optimal value and optimal solutions of the proximal average of convex functions

Rafal Goebel, Warren Hare, Xianfu Wang, 2012 .

Fixed Points of Averages of Resolvents: Geometry and Algorithms

Heinz H. Bauschke, Xianfu Wang, Calvin J. S. Wylie, 2011, SIAM J. Optim..

Malitsky-Tam forward-reflected-backward splitting method for nonconvex minimization problems

Xianfu Wang, Ziyuan Wang, Xianfu Wang, 2021, Computational Optimization and Applications.

The Exact Modulus of the Generalized Concave Kurdyka-Łojasiewicz Property

Xianfu Wang, Ziyuan Wang, 2020, Mathematics of Operations Research.

Characterizations ofthe solution set for nonconvex semi-infinite programming problems

Xian-Jun Long, Xianfu Wang, Zai-Yun Peng, 2016 .

Restricted Normal Cones and Sparsity Optimization with Affine Constraints

Heinz H. Bauschke, Xianfu Wang, Hung M. Phan, 2012, Found. Comput. Math..

The Projection onto the Cross

Heinz H. Bauschke, Manish Krishan Lal, Xianfu Wang, 2021, Set-Valued and Variational Analysis.

Optimal Rates of Linear Convergence of Relaxed Alternating Projections and Generalized Douglas-Rachford Methods for Two Subspaces

Heinz H. Bauschke, Hung M. Phan, Xianfu Wang, 2015, Numerical Algorithms.

Bregman Circumcenters: Basic Theory

Xianfu Wang, Hui Ouyang, Xianfu Wang, 2021, Journal of Optimization Theory and Applications.

Circumcentered Methods Induced by Isometries

Heinz H. Bauschke, Xianfu Wang, Hui Ouyang, 2019, Vietnam Journal of Mathematics.

On circumcenter mappings induced by nonexpansive operators.

Heinz H. Bauschke, Xianfu Wang, Hui Ouyang, 2018, 1811.11420.

On circumcenters of finite sets in Hilbert spaces

Heinz H. Bauschke, Xianfu Wang, Hui Ouyang, 2018, 1807.02093.

Restricted Normal Cones and the Method of Alternating Projections: Applications

Heinz H. Bauschke, Hung M. Phan, D. Russell Luke, 2012, 1205.0318.

Nearly convex sets: fine properties and domains or ranges of subdifferentials of convex functions

Xianfu Wang, Sarah M. Moffat, Walaa M. Moursi, 2015, Math. Program..

The Resolvent Average of Monotone Operators: Dominant and Recessive Properties

Heinz H. Bauschke, Xianfu Wang, Sarah M. Moffat, 2015, SIAM J. Optim..

Firmly Nonexpansive Mappings and Maximally Monotone Operators: Correspondence and Duality

Heinz H. Bauschke, Sarah M. Moffat, Xianfu Wang, 2011, Set-Valued and Variational Analysis.

An explicit example of a maximal 3-cyclically monotone operator with bizarre properties

Heinz H. Bauschke, Xianfu Wang, Xianfu Wang, 2008 .

Autoconjugate representers for linear monotone operators

Heinz H. Bauschke, Xianfu Wang, Liangjin Yao, 2008, Math. Program..

Primal-Dual Symmetric Intrinsic Methods for Finding Antiderivatives of Cyclically Monotone Operators

Heinz H. Bauschke, Yves Lucet, Xianfu Wang, 2007, SIAM J. Control. Optim..

A Convex-Analytical Approach to Extension Results for n-Cyclically Monotone Operators

Heinz H. Bauschke, Xianfu Wang, Xianfu Wang, 2007 .

A class of multi-marginal c-cyclically monotone sets with explicit c-splitting potentials

Heinz H. Bauschke, Sedi Bartz, Xianfu Wang, 2016, Journal of Mathematical Analysis and Applications.

On Chebyshev functions and Klee functions

Xianfu Wang, Xianfu Wang, 2010 .

Near equality, near convexity, sums of maximally monotone operators, and averages of firmly nonexpansive mappings

Heinz H. Bauschke, Xianfu Wang, Sarah M. Moffat, 2011, Math. Program..

On the Existence of Minimizers of Proximity Functions for Split Feasibility Problems

Xinmin Yang, Xianfu Wang, Xianfu Wang, 2015, J. Optim. Theory Appl..

On the Existence of Minimizers of Proximity Functions for Split Feasibility Problems

Xianfu Wang, Xinmin Yang, 2015, Journal of Optimization Theory and Applications.

Restricted Normal Cones and the Method of Alternating Projections: Applications

Heinz H. Bauschke, Hung M. Phan, Xianfu Wang, 2013, Set-Valued and Variational Analysis.

On sums and convex combinations of projectors onto convex sets

Heinz H. Bauschke, Xianfu Wang, Minh N. Bui, 2018, J. Approx. Theory.

On the sum of projectors onto convex sets

Heinz H. Bauschke, Minh N. Bui, Xianfu Wang, 2018 .

Calculus Rules of the Generalized Concave Kurdyka–Łojasiewicz Property

Xianfu Wang, Ziyuan Wang, Xianfu Wang, 2021, Journal of Optimization Theory and Applications.

Variational Analysis on the Signed Distance Functions

Xianfu Wang, Honglin Luo, Brett Lukens, 2018, J. Optim. Theory Appl..

Compositions and convex combinations of asymptotically regular firmly nonexpansive mappings are also asymptotically regular

Heinz H. Bauschke, Sarah M. Moffat, Heinz H Bauschke, 2011, 1112.4923.

A parameterized Douglas–Rachford algorithm

Xianfu Wang, Dongying Wang, Xianfu Wang, 2019, Comput. Optim. Appl..

A parameterized Douglas–Rachford algorithm

Xianfu Wang, Dongying Wang, 2019, Computational Optimization and Applications.

Finding best approximation pairs for two intersections of closed convex sets

Heinz H. Bauschke, Shambhavi Singh, Xianfu Wang, 2021, Comput. Optim. Appl..

On Linear Convergence of Non-Euclidean Gradient Methods without Strong Convexity and Lipschitz Gradient Continuity

Marc Teboulle, Heinz H. Bauschke, Xianfu Wang, 2019, J. Optim. Theory Appl..

Robust MISO Beamforming With Cooperative Jamming for Secure Transmission From Perspectives of QoS and Secrecy Rate

Julian Cheng, Piming Ma, Xianfu Wang, 2018, IEEE Transactions on Communications.

Restricted Normal Cones and Sparsity Optimization with Affine Constraints

Heinz H. Bauschke, Hung M. Phan, Xianfu Wang, 2013, Foundations of Computational Mathematics.

Proportional Fair Secrecy Beamforming for MISO Heterogeneous Cellular Networks With Wireless Information and Power Transfer

Hui Ma, Julian Cheng, Xianfu Wang, 2019, IEEE Transactions on Communications.

Backhaul-Aware User Association and Resource Allocation for Massive MIMO-Enabled HetNets

Julian Cheng, Haijun Zhang, Xianfu Wang, 2017, IEEE Communications Letters.

Alternated inertial algorithms for split feasibility problems

Xianfu Wang, X. Qin, Bing Tan, 2023, Numer. Algorithms.

A Nonmonotone Trust Region Method for Unconstrained Optimization Problems on Riemannian Manifolds

Xianfu Wang, Manish Krishan Lal, Xiaobo Li, 2021, Journal of Optimization Theory and Applications.

Cooperative Jamming Aided Robust Beamforming for MISO Channels with Unknown Eavesdroppers

Julian Cheng, Xianfu Wang, Hui Ma, 2017, GLOBECOM 2017 - 2017 IEEE Global Communications Conference.

On the Bredies-Chenchene-Lorenz-Naldi algorithm

Heinz H. Bauschke, Xianfu Wang, W. M. Moursi, 2023, 2307.09747.

Projections onto hyperbolas or bilinear constraint sets in Hilbert spaces pdf

Heinz H. Bauschke, Xianfu Wang, Manish Krishan Lal, 2021, Journal of Global Optimization.

The difference vectors for convex sets and a resolution of the geometry conjecture

Heinz H. Bauschke, Julian P. Revalski, Salihah Alwadani, 2020, Open J. Math. Optim..

Open Journal of Mathematical Optimization

Heinz H. Bauschke, Xianfu Wang, J. Revalski, 2022 .

Chebyshev Sets, Klee Sets, and Chebyshev Centers with Respect to Bregman Distances: Recent Results and Open Problems

Heinz H. Bauschke, Xianfu Wang, Mason S. Macklem, 2010, Fixed-Point Algorithms for Inverse Problems in Science and Engineering.

Bregman distances and Chebyshev sets

Heinz H. Bauschke, Xiaoming Yuan, Xianfu Wang, 2007, J. Approx. Theory.

Lipschitz functions with maximal Clarke subdifferentials are staunch

J. Borwein, Xianfu Wang, 2005, Bulletin of the Australian Mathematical Society.

The rate of linear convergence of the Douglas-Rachford algorithm for subspaces is the cosine of the Friedrichs angle

Heinz H. Bauschke, Hung M. Phan, Xianfu Wang, 2013, J. Approx. Theory.