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- Hong-Kun Xu

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
52
Citations
15,168
143
World Ranking
487
National Ranking
24

- Mathematical analysis
- Hilbert space
- Topology

His main research concerns Hilbert space, Mathematical analysis, Fixed point, Iterative method and Algorithm. His Hilbert space research includes themes of Fixed-point iteration, Weak convergence, Common fixed point, Iteration process and Applied mathematics. Hong-Kun Xu studies Banach space, a branch of Mathematical analysis.

His study in Fixed point is interdisciplinary in nature, drawing from both Discrete mathematics, Fixed-point theorem, Norm and Variational inequality, Mathematical optimization. Proof mining, Nonlinear operators, Local convergence and Quadratic programming is closely connected to Quadratic equation in his research, which is encompassed under the umbrella topic of Iterative method. His Algorithm research is multidisciplinary, incorporating elements of Minimization problem and Convex optimization.

- Iterative Algorithms for Nonlinear Operators (1201 citations)
- VISCOSITY APPROXIMATION METHODS FOR NONEXPANSIVE MAPPINGS (760 citations)
- Inequalities in Banach spaces with applications (684 citations)

Hong-Kun Xu mainly focuses on Mathematical analysis, Fixed point, Banach space, Discrete mathematics and Hilbert space. Hong-Kun Xu interconnects Applied mathematics, Pure mathematics and Combinatorics in the investigation of issues within Mathematical analysis. His Fixed point study combines topics in areas such as Semigroup, Intersection and Convex optimization.

His study focuses on the intersection of Banach space and fields such as Bounded function with connections in the field of Hausdorff distance. Hong-Kun Xu has researched Discrete mathematics in several fields, including Ergodic theory and Contraction. Hong-Kun Xu combines subjects such as Projection, Weak convergence, Iterative method, Algorithm and Midpoint method with his study of Hilbert space.

- Mathematical analysis (62.50%)
- Fixed point (45.39%)
- Banach space (39.47%)

- Mathematical analysis (62.50%)
- Hilbert space (31.58%)
- Iterative method (25.66%)

His primary areas of investigation include Mathematical analysis, Hilbert space, Iterative method, Applied mathematics and Mathematical optimization. The Mathematical analysis study combines topics in areas such as Pure mathematics and Convex optimization. His Hilbert space research is multidisciplinary, incorporating perspectives in Projection, Weak convergence, Midpoint method, Algorithm and Sequence.

The various areas that Hong-Kun Xu examines in his Iterative method study include Norm, Competitive Lotka–Volterra equations, Fixed point and Nonlinear diffusion. His study looks at the intersection of Fixed point and topics like Minimum norm with Projection. His work on Variational inequality as part of general Applied mathematics research is frequently linked to Logistic function, bridging the gap between disciplines.

- Averaged Mappings and the Gradient-Projection Algorithm (168 citations)
- Averaged Mappings and the Gradient-Projection Algorithm (168 citations)
- Cyclic algorithms for split feasibility problems in Hilbert spaces (117 citations)

- Mathematical analysis
- Hilbert space
- Algebra

The scientist’s investigation covers issues in Hilbert space, Mathematical analysis, Applied mathematics, Iterative method and Algorithm. Mathematical analysis is closely attributed to Weak convergence in his research. He is interested in Variational inequality, which is a branch of Applied mathematics.

His research in Iterative method intersects with topics in Class, Norm, Common fixed point and Thresholding. His Algorithm study combines topics from a wide range of disciplines, such as Zero, Bounded function and Limit point. His Mathematical optimization study integrates concerns from other disciplines, such as Fixed point and Proximal gradient methods for learning.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Iterative Algorithms for Nonlinear Operators

Hong-Kun Xu.

Journal of The London Mathematical Society-second Series **(2002)**

1922 Citations

VISCOSITY APPROXIMATION METHODS FOR NONEXPANSIVE MAPPINGS

Hong Kun Xu.

Journal of Mathematical Analysis and Applications **(2004)**

1201 Citations

Inequalities in Banach spaces with applications

Hong-Kun Xu.

Nonlinear Analysis-theory Methods & Applications **(1991)**

1177 Citations

Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process

Kok-Keong Tan;Hong-Kun Xu.

Journal of Mathematical Analysis and Applications **(1993)**

1058 Citations

An Iterative Approach to Quadratic Optimization

H K Xu.

Journal of Optimization Theory and Applications **(2003)**

827 Citations

WEAK AND STRONG CONVERGENCE THEOREMS FOR STRICT PSEUDO-CONTRACTIONS IN HILBERT SPACES

Giuseppe Marino;Hong-Kun Xu.

Journal of Mathematical Analysis and Applications **(2007)**

673 Citations

A general iterative method for nonexpansive mappings in Hilbert spaces

Giuseppe Marino;Hong-Kun Xu.

Journal of Mathematical Analysis and Applications **(2006)**

628 Citations

Strong convergence of the CQ method for fixed point iteration processes

Carlos Martinez-Yanes;Hong-Kun Xu.

Nonlinear Analysis-theory Methods & Applications **(2006)**

412 Citations

Convergence of Hybrid Steepest-Descent Methods for Variational Inequalities

H. K. Xu;T. H. Kim.

Journal of Optimization Theory and Applications **(2003)**

387 Citations

AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS

Hong-Kun Xu;Ramesh G. Ori.

Numerical Functional Analysis and Optimization **(2001)**

352 Citations

National Sun Yat-sen University

King Abdulaziz University

Tianjin Polytechnic University

University of Santiago de Compostela

Technion – Israel Institute of Technology

University of Iowa

Profile was last updated on December 6th, 2021.

Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).

The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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