Search results for: Xiaolong Qin

Items from 1 to 20 out of 98 results

article

On a variable metric iterative method for solving the elastic net problem

Liya Liu, Xiaolong Qin, D. R. Sahu

Mathematical Methods in the Applied Sciences > 44 > 7 > 5251 - 5264

Based on a hybrid steepest‐descent method and a splitting method, we propose a variable metric iterative algorithm, which is useful in computing the elastic net solution. A solution theorem is established in the framework of Hilbert spaces. Numerical results are conducted on the signal processing to demonstrate the capacity and effectiveness of our algorithm.

article

A hybrid descent method for solving a convex constrained optimization problem with applications

Liya Liu, Xiaolong Qin, Jen‐Chih Yao

Mathematical Methods in the Applied Sciences > 42 > 18 > 7367 - 7380

The purpose of this paper is to introduce a hybrid descent algorithm for finding a common point in fixed‐point sets of quasi‐nonexpansive mappings and solution sets of variational inequality problems. In the framework of Hilbert spaces, the strong convergence of the hybrid descent algorithm is established. Numerical experiments for the bandwidth allocation, which demonstrate the effectiveness, performance,...

article

Smoothing algorithms for computing the projection onto a Minkowski sum of convex sets

Xiaolong Qin, Nguyen Thai An

Computational Optimization and Applications > 2019 > 74 > 3 > 821-850

In this paper, the problem of computing the projection, and therefore the minimum distance, from a point onto a Minkowski sum of general convex sets is studied. Our approach is based on Nirenberg’s minimum norm duality theorem and Nesterov’s smoothing techniques. It is shown that the projection onto a Minkowski sum of sets can be represented as the sum of points on constituent sets so that, at these...

article

Nonlinear Separation Approach to Inverse Variational Inequalities in Real Linear Spaces

Elisabeth Köbis, Markus A. Köbis, Xiaolong Qin

Journal of Optimization Theory and Applications > 2019 > 183 > 1 > 105-121

In this paper, we employ the image space analysis to study constrained inverse variational inequalities by means of a nonlinear separation approach. We introduce such a nonlinear functional, which is based on the known Gerstewitz functional, and show its property as a weak separation function and a regular weak separation function under different parameter sets. In contrast to known results, we do...

article

Some fixed point theorems for multivalued mappings concerning F-contractions

Luong V. Nguyen, Luu T. Phuong, Nguyen T. Hong, Xiaolong Qin

Journal of Fixed Point Theory and Applications > 2018 > 20 > 4 > 1-13

The aim of this paper is to prove some fixed point theorems for multivalued maps satisfying different inequalities based on Wardowski’s technique in complete metric spaces. Our results extend and generalize several known results in the literature. We also give an application to the existence of fixed points for a class of Lipschitz multivalued mappings with a constant being greater than 1. Examples...

article

Fixed point theorems for multivalued maps

Nguyen Van Luong, Xiaolong Qin

Journal of Fixed Point Theory and Applications > 2018 > 20 > 1 > 1-10

In this paper, we first prove a fixed point theorem for multivalued maps in metric spaces which generalizes many results in literature. We then apply the theorem to give sufficient conditions for the existence of fixed points of Lipschitz multifunctions in Banach spaces.

article

Expanded graphite supported Ni(OH)2 composites for high performance supercapacitors

Renjie Qu, Shuihua Tang, Xiaolong Qin, Jiawei Yuan, more

Journal of Alloys and Compounds > 2017 > 728 > C > 222-230

Relatively high cost is one of the biggest challenges for supercapacitors. Cheap carbon material expanded graphite (EG) was chosen to synthesize Ni(OH)₂/EG composite by a facile microwave-assisted heating method. The Ni(OH)₂/EG composites demonstrates a specific capacitance of 1569 F g⁻¹ at current density of 1 A g⁻¹ and 1077 F g⁻¹ at current density of 10 A g⁻¹, based on the total mass of Ni(OH)₂...

article

A fixed point method for solving a split feasibility problem in Hilbert spaces

Xiaolong Qin, Lin Wang

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales.... > 2019 > 113 > 1 > 315-325

In this paper, a fixed method is introduced and investigated for solving a split feasibility problem. A strong convergence theorem of solutions is established in the framework of infinite dimensional Hilbert spaces. As an application, a split equality problem is also investigated.

article

Facile synthesis of high-performance Ni(OH)₂/expanded graphite electrodes for asymmetric supercapacitors

Jiawei Yuan, Shuihua Tang, Zhentao Zhu, Xiaolong Qin, more

Journal of Materials Science: Materials in Electronics > 2017 > 28 > 23 > 18022- 18030

Cost-effective commercial expanded graphite (EG) was used as a raw material, and a facile in-situ electrodeposition method was adopted to synthesize a layered Ni(OH)₂/EG composite electrode in an N,N-dimethylformamide-water system. Scanning electron microscopy images show that expanded graphite sheets, Ni(OH)₂ nanoparticles and carbon nanotubes construct a layered structure, which not only effectively...

article

Convergence analysis of a monotone projection algorithm in reflexive banach spaces

Xiaolong QIN, Sun Young CHO

Acta Mathematica Scientia > 2017 > 37 > 2 > 488-502

In this article, fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings and equilibrium problems are investigated based on a monotone projection algorithm. Strong convergence theorems are established without the aid of compactness in the framework of reflexive Banach spaces.

article

Weak convergence of a Mann-like algorithm for nonexpansive and accretive operators

Xiaolong Qin, Jen-Chih Yao

Journal of Inequalities and Applications > 2016 > 2016 > 1 > 1-9

Zero point problems of two accretive operators and fixed point problems of a nonexpansive mappings are investigated based on a Mann-like iterative algorithm. Weak convergence theorems are established in a Banach space.

article

An asymmetric supercapacitor with good electrochemical performances based on Ni(OH)2/AC/CNT and AC

Leping Sui, Shuihua Tang, Yongdong Chen, Zhen Dai, more

Electrochimica Acta > 2015 > 182 > C > 1159-1165

Ni(OH)₂/AC/CNT composite has been prepared via a green rapid microwave assisted method in an ethylene glycol medium. Scanning electron microscopy images show that Ni(OH)₂ nanoparticles, activated carbon spheres and nanotubes constructed a three-dimensional (3-D) connected network, which lead to a high specific capacitance 1038Fg⁻¹ at current density of 1Ag⁻¹. Based on Ni(OH)₂/AC/CNT composite as positive...

article

A viscosity splitting algorithm for solving inclusion and equilibrium problems

Buthinah A Bin Dehaish, Abdul Latif, Huda O Bakodah, Xiaolong Qin

Journal of Inequalities and Applications > 2015 > 2015 > 1 > 1-14

In this paper, we present a viscosity splitting algorithm with computational errors for solving common solutions of inclusion and equilibrium problems. Strong convergence theorems are established in the framework of real Hilbert spaces. Applications are also provided to support the main results.

article

A regularization projection algorithm for various problems with nonlinear mappings in Hilbert spaces

Buthinah A Bin Dehaish, Abdul Latif, Huda O Bakodah, Xiaolong Qin

Journal of Inequalities and Applications > 2015 > 2015 > 1 > 1-14

In this paper, a regularization projection algorithm is investigated for solving common elements of an equilibrium problem, a variational inequality problem and a fixed point problem of a strictly pseudocontractive mapping. Strong convergence theorems are established in the framework of real Hilbert spaces.

article

On the strong convergence of an iterative process for asymptotically strict pseudocontractions and equilibrium problems

Sun Young Cho, Xiaolong Qin

Applied Mathematics and Computation > 2014 > 235 > Complete > 430-438

In this paper, equilibrium and fixed point problems based on hybrid iterative processes are investigated. It is proved that the sequence generated in the purposed iterative process converges strongly to a common element in the fixed point set of an asymptotically strict pseudocontraction and in the solution set of an equilibrium problem in the framework of real Hilbert spaces.

article

Convergence of splitting algorithms for the sum of two accretive operators with applications

Xiaolong Qin, Sun Young Cho, Lin Wang

Fixed Point Theory and Applications > 2014 > 2014 > 1 > 1-12

We study a splitting algorithm for problems involving the sum of two accretive operators. We prove the strong convergence of the algorithm. Applications to variational inequality, fixed point, equilibrium, and minimization problems are provided.

article

Strong convergence of a splitting algorithm for treating monotone operators

Sun Young Cho, Xiaolong Qin, Lin Wang

Fixed Point Theory and Applications > 2014 > 2014 > 1 > 1-15

In this paper, we investigate a splitting algorithm for treating monotone operators. Strong convergence theorems are established in the framework of Hilbert spaces.

article

A regularization method for treating zero points of the sum of two monotone operators

Xiaolong Qin, Sun Young Cho, Lin Wang

Fixed Point Theory and Applications > 2014 > 2014 > 1 > 1-10

In this paper, a regularization method for treating zero points of the sum of two monotone operators is investigated. Strong convergence theorems are established in the framework of Hilbert spaces.

article

Algorithms for treating equilibrium and fixed point problems

Xiaolong Qin, Sun Young Cho, Lin Wang

Fixed Point Theory and Applications > 2013 > 2013 > 1 > 1-15

In this paper, a common solution problem is investigated based on a projection algorithm. Strong convergence theorems for common solutions of a system of equilibrium problems and a family of asymptotically quasi-ϕ-nonexpansive mappings are established in a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property.

article

Iterative algorithms with errors for zero points of m-accretive operators

Xiaolong Qin, Sun Young Cho, Lin Wang

Fixed Point Theory and Applications > 2013 > 2013 > 1 > 1-17

In this paper, we study the convergence of paths for continuous pseudocontractions in a real Banach space. As an application, we consider the problem of finding zeros of m-accretive operators based on an iterative algorithm with errors. Strong convergence theorems for zeros of m-accretive operators are established in a real Banach space. MSC: 47H05, 47H09, 47J25, 65J15.

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INFONA - science communication portal

Search results for: Xiaolong Qin

On a variable metric iterative method for solving the elastic net problem

A hybrid descent method for solving a convex constrained optimization problem with applications

Smoothing algorithms for computing the projection onto a Minkowski sum of convex sets

Nonlinear Separation Approach to Inverse Variational Inequalities in Real Linear Spaces

Some fixed point theorems for multivalued mappings concerning F-contractions

Fixed point theorems for multivalued maps

Expanded graphite supported Ni(OH)2 composites for high performance supercapacitors

A fixed point method for solving a split feasibility problem in Hilbert spaces

Facile synthesis of high-performance Ni(OH)₂/expanded graphite electrodes for asymmetric supercapacitors

Convergence analysis of a monotone projection algorithm in reflexive banach spaces

Weak convergence of a Mann-like algorithm for nonexpansive and accretive operators

An asymmetric supercapacitor with good electrochemical performances based on Ni(OH)2/AC/CNT and AC

A viscosity splitting algorithm for solving inclusion and equilibrium problems

A regularization projection algorithm for various problems with nonlinear mappings in Hilbert spaces

On the strong convergence of an iterative process for asymptotically strict pseudocontractions and equilibrium problems

Convergence of splitting algorithms for the sum of two accretive operators with applications

Strong convergence of a splitting algorithm for treating monotone operators

A regularization method for treating zero points of the sum of two monotone operators

Algorithms for treating equilibrium and fixed point problems

Iterative algorithms with errors for zero points of m-accretive operators

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