Search results for: Nan Jing Huang

Items from 1 to 20 out of 174 results

article

Asymptotical Stability of Riemann–Liouville Fractional-Order Neutral-Type Delayed Projective Neural Networks

Jin-dong Li, Zeng-bao Wu, Nan-jing Huang

Neural Processing Letters > 2019 > 50 > 1 > 565-579

In this paper, a new class of Riemann–Liouville fractional-order neutral-type delayed projective neural networks are introduced and studied. By utilizing the linear matrix inequality technique, some sufficient conditions to ensure the asymptotical stability of the equilibrium point of the addressed projective neural networks are presented. Finally, some numerical examples are given to illustrate the...

article

A Revision on Geodesic Pseudo-Convex Combination and Knaster–Kuratowski–Mazurkiewicz Theorem on Hadamard Manifolds

Li-wen Zhou, Nan-jing Huang

Journal of Optimization Theory and Applications > 2019 > 182 > 3 > 1186-1198

In this paper, we point out that a recent characterization of geodesic convex hull on Hadamard manifolds is not rigorous and explain why the characterization does not hold like it in linear spaces. Therefore, a definition of geodesic pseudo-convex combination is proposed to show that the Knaster–Kuratowski–Mazurkiewicz theorem still holds under some mild conditions on Hadamard manifolds.

article

Convergence Rate of Descent Method with New Inexact Line-Search on Riemannian Manifolds

Xiao-bo Li, Nan-jing Huang, Qamrul Hasan Ansari, Jen-Chih Yao

Journal of Optimization Theory and Applications > 2019 > 180 > 3 > 830-854

In this paper, we propose the descent method with new inexact line-search for unconstrained optimization problems on Riemannian manifolds. The global convergence of the proposed method is established under some appropriate assumptions. We further analyze some convergence rates, namely R-linear convergence rate, superlinear convergence rate and quadratic convergence rate, of the proposed descent method.

article

Asymptotical Stability for a Class of Complex-Valued Projective Neural Network

Jin-dong Li, Nan-jing Huang

Journal of Optimization Theory and Applications > 2018 > 177 > 1 > 261-270

In this paper, a new class of complex-valued projective neural network is introduced and studied on a nonempty, closed, and convex subset of a finite-dimensional complex space. An existence and uniqueness result for the equilibrium point of complex-valued projective neural network is proved under some suitable conditions. Moreover, by utilizing the linear matrix inequality technique, some sufficient...

article

Global stability analysis of an SVEIR epidemic model with general incidence rate

Da-peng Gao, Nan-jing Huang, Shin Min Kang, Cong Zhang

Boundary Value Problems > 2018 > 2018 > 1 > 1-22

In this paper, a susceptible-vaccinated-exposed-infectious-recovered (SVEIR) epidemic model for an infectious disease that spreads in the host population through horizontal transmission is investigated, assuming that the horizontal transmission is governed by an unspecified function f(S,I) $f(S,I)$. The role that temporary immunity (vaccinated-induced) and treatment of infected people play in the...

article

A note on global stability for a tuberculosis model

Da-peng Gao, Nan-jing Huang

Applied Mathematics Letters > 2017 > 73 > C > 163-168

In this note, we investigate the global stability for a tuberculosis model with vaccination and treatment. The model exhibits the traditional threshold behavior. We prove that the basic reproduction number characterizes the global dynamics of the model, that is, the disease endemic equilibrium of the model is globally asymptotically stable whenever it exists, which accords with the corresponding conjecture...

article

Lower semicontinuity of solution mappings for parametric fixed point problems with applications

Yu Han, Nan-jing Huang

Operations Research Letters > 2017 > 45 > 6 > 533-537

In this paper, we establish the lower semicontinuity of the solution mapping and the approximate solution mapping for parametric fixed point problems under some suitable conditions. As applications, the lower semicontinuity result applies to the parametric vector quasi-equilibrium problem, and allows to prove the existence of solutions for generalized Stackelberg games.

article

A Variational Inequality Theory with Applications to P $P$ -Laplacian Elliptic Inequalities

Yi-rong Jiang, Nan-jing Huang, Donal O’Regan

Acta Applicandae Mathematicae > 2017 > 152 > 1 > 195-210

The main purpose of this paper is to establish variational inequality theory in connection with demicontinuous ψ p $\psi_{p}$ -dissipative maps in reflexive smooth Banach spaces by considering the convergence of approximants. As an application of this variational inequality theory, existence, uniqueness and convergence of approximants of positive weak solution for p $p$ -Laplacian elliptic...

article

Distributionally robust chance constrained problem under interval distribution information

Ke-wei Ding, Ming-hui Wang, Nan-jing Huang

Optimization Letters > 2018 > 12 > 6 > 1315-1328

This paper is concerned with distributionally robust chance constrained problem under interval distribution information. Using worst-case CVaR approximation, we present a tractable convex programming approximation for distributionally robust individual chance constrained problem under interval sets of mean and covariance information. We prove the worst-case CVaR approximation problem is an exact form...

article

Optimality Conditions of Approximate Solutions for Nonsmooth Semi-infinite Programming Problems

Xian-Jun Long, Yi-Bin Xiao, Nan-Jing Huang

Journal of the Operations Research Society of China > 2018 > 6 > 2 > 289-299

In this paper, we study optimality conditions of approximate solutions for nonsmooth semi-infinite programming problems. Three new classes of functions, namely $$\varepsilon $$ ε -pseudoconvex functions of type I and type II and $$\varepsilon $$ ε -quasiconvex functions are introduced, respectively. By utilizing these new concepts, sufficient optimality conditions of approximate solutions for the...

article

Solvability and optimal controls of fractional delay evolution inclusions with Clarke subdifferential

Yi‐rong Jiang, Nan‐jing Huang

Mathematical Methods in the Applied Sciences > 40 > 8 > 3026 - 3039

This article investigates the solvability and optimal controls of systems monitored by fractional delay evolution inclusions with Clarke subdifferential type. By applying a fixed‐point theorem of condensing multivalued maps and some properties of Clarke subdifferential, an existence theorem concerned with the mild solution for the system is proved under suitable assumptions. Moreover, an existence...

article

Continuity and Convexity of a Nonlinear Scalarizing Function in Set Optimization Problems with Applications

Yu Han, Nan-jing Huang

Journal of Optimization Theory and Applications > 2018 > 177 > 3 > 679-695

Hern$$\acute{\mathrm{a}}$$ a´ ndez and Rodríguez-Marín (J Math Anal Appl 325:1–18, 2007) introduced a nonlinear scalarizing function for sets, which is a generalization of the Gerstewitz’s function. This paper aims at investigating some properties concerned with the nonlinear scalarizing function for sets. The continuity and convexity of the nonlinear scalarizing function for sets are showed under...

article

Existence and Connectedness of Solutions for Generalized Vector Quasi-Equilibrium Problems

Yu Han, Nan-jing Huang

Journal of Optimization Theory and Applications > 2018 > 179 > 1 > 65-85

In this paper, we establish three existence theorems for strongly efficient solutions, weakly efficient solutions and efficient solutions of generalized vector quasi-equilibrium problems by using the Fan-KKM theorem and the scalarization method. Moreover, we investigate the connectedness of the sets of weakly efficient solutions and efficient solutions for generalized vector quasi-equilibrium problems...

article

New Characterization of Geodesic Convexity on Hadamard Manifolds with Applications

Li-wen Zhou, Yi-bin Xiao, Nan-jing Huang

Journal of Optimization Theory and Applications > 2017 > 172 > 3 > 824-844

In this paper, some new results, concerned with the geodesic convex hull and geodesic convex combination, are given on Hadamard manifolds. An S-KKM theorem on a Hadamard manifold is also given in order to generalize the KKM theorem. As applications, a Fan–Browder-type fixed point theorem and a fixed point theorem for the a new mapping class are proved on Hadamard manifolds.

article

A class of impulsive differential variational inequalities in finite dimensional spaces

Xue-song Li, Nan-jing Huang, Donal O׳Regan

Journal of the Franklin Institute > 2016 > 353 > 13 > 3151-3175

In this paper, a new class of impulsive differential variational inequalities (IDVIs) are introduced and studied in finite dimensional Euclidean spaces. Some existence results on the solutions for the IDVIs are presented under suitable conditions and a convergence theorem of the discrete Euler time-dependent procedure for solving the IDVI is proved by using constructed discrete approximation methods...

article

A class of differential fuzzy variational inequalities in finite-dimensional spaces

Xing Wang, Ya-wei Qi, Chang-qi Tao, Nan-jing Huang

Optimization Letters > 2017 > 11 > 8 > 1593-1607

In this paper, a new class of differential fuzzy variational inequalities in finite dimensional spaces are introduced and studied. An existence theorem of the Carathéodory weak solution of differential fuzzy variational inequality is established under some suitable conditions. The convergence analysis for time-stepping method for finding the weak solution of the differential fuzzy variational inequality...

article

A class of global fractional-order projective dynamical systems involving set-valued perturbations

Zeng-bao Wu, Yun-zhi Zou, Nan-jing Huang

Applied Mathematics and Computation > 2016 > 277 > C > 23-33

This paper studies a class of global fractional-order projective dynamical systems involving set-valued perturbations in real separable Hilbert spaces. We prove that the set of solutions for this type of systems is nonempty and closed under some suitable conditions. Furthermore, we show that the set of solutions is continuous with respect to initial value in the sense of Hausdorff metric. Finally,...

article

A system of fractional-order interval projection neural networks

Zeng-bao Wu, Yun-zhi Zou, Nan-jing Huang

Journal of Computational and Applied Mathematics > 2016 > 294 > Complete > 389-402

In this paper, a system of fractional-order interval projection neural networks is introduced and investigated. Under some suitable assumptions, the existence and uniqueness of the equilibrium point of this type of interval projection neural networks is proved. Moreover, α-exponential stability of this type of neural networks is obtained. Also, in the last section, we give two numerical examples to...

article

On European option pricing under partial information

Meng Wu, Jue Lu, Nan-jing Huang

Applications of Mathematics > 2016 > 61 > 1 > 61-77

We consider a European option pricing problem under a partial information market, i.e., only the security’s price can be observed, the rate of return and the noise source in the market cannot be observed. To make the problem tractable, we focus on gap option which is a generalized form of the classical European option. By using the stochastic analysis and filtering technique, we derive a Black-Scholes...

article

Vector variational inequalities and vector optimization problems on Hadamard manifolds

Sheng-lan Chen, Nan-jing Huang

Optimization Letters > 2016 > 10 > 4 > 753-767

In this paper, we introduce a Minty type vector variational inequality, a Stampacchia type vector variational inequality, and the weak forms of them, which are all defined by means of subdifferentials on Hadamard manifolds. We also study the equivalent relations between the vector variational inequalities and nonsmooth convex vector optimization problems. By using the equivalent relations and an analogous...

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EXISTENCE (13)
SET-VALUED MAPPING (13)
VARIATIONAL INCLUSION (11)
HADAMARD MANIFOLD (9)
VARIATIONAL INEQUALITY (9)
VECTOR VARIATIONAL INEQUALITY (9)
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STABILITY (6)
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FIXED POINT (5)
GENERALIZED F-PROJECTION OPERATOR (5)
MIXED VARIATIONAL INEQUALITY (5)
PSEUDOMONOTONE MAPPING (5)
GENERALIZED VECTOR EQUILIBRIUM PROBLEM (4)
LOWER SEMICONTINUITY (4)
RESOLVENT OPERATOR TECHNIQUE (4)
UPPER SEMICONTINUITY (4)
VECTOR OPTIMIZATION PROBLEM (4)
CARATHÉODORY WEAK SOLUTION (3)
CONNECTEDNESS (3)
CONVERGENCE RATE (3)
CONVEXITY (3)
EXCEPTIONAL FAMILY OF ELEMENTS (3)
GENERALIZED VARIATIONAL INEQUALITY (3)
GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEM (3)
H(·,·)-ACCRETIVE OPERATOR (3)
INCLUSION PROBLEM (3)
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SOLUTION MAP (3)
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VECTOR EQUILIBRIUM PROBLEM (3)
Z-MAP (2)
ABSTRACT CONVEX SPACE (2)
ACTUAL RETURN RATE (2)
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CLARKE SUBDIFFERENTIAL (2)
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DUALITY MAPPING (2)
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EULER TIME-STEPPING PROCEDURE (2)
EXTREMAL SOLUTION (2)
FAN-KKM THEOREM (2)
FEASIBLE SET (2)
FIXED POINT PROBLEM (2)
FIXED POINT THEOREM (2)
GAP FUNCTION (2)
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GENERALIZED L-KKM MAPPING (2)
GENERALIZED SEMI-INFINITE PROGRAM (2)
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INEXACT PROXIMAL POINT ALGORITHM (2)
INTERVAL NEURAL NETWORKS (2)
KAKUTANI-FAN-GLICKSBERG FIXED POINT THEOREM (2)
KAKUTANI–FAN–GLICKSBERG FIXED POINT THEOREM (2)
KKM THEOREM (2)
KKM-MAPPING (2)
LOWER SEMI-CONTINUITY (2)
MAXIMAL MONOTONE OPERATOR (2)
MAXIMAL MONOTONE VECTOR FIELD (2)
METRIC CHARACTERIZATION (2)
NONLINEAR COMPLEMENTARITY PROBLEM (2)
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NORMALIZED DUALITY MAPPING (2)
OPTIMAL POSITION (2)
PARAMETRIC GAP FUNCTION (2)
PROJECTED SUBGRADIENT METHOD (2)
PSEUDOMONOTONE VECTOR FIELD (2)
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SET-VALUED ACCRETIVE MAPPING (2)
SOLVABILITY (2)
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STRONGLY MONOTONE MAPPING (2)
SYSTEM OF VARIATIONAL INCLUSION (2)
UNIFORMLY SMOOTH BANACH SPACE (2)
VECTOR OPTIMIZATION (2)
L-DIAGONALLY QUASI-SUBSPACE (1)
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INFONA - science communication portal

Search results for: Nan Jing Huang

Asymptotical Stability of Riemann–Liouville Fractional-Order Neutral-Type Delayed Projective Neural Networks

A Revision on Geodesic Pseudo-Convex Combination and Knaster–Kuratowski–Mazurkiewicz Theorem on Hadamard Manifolds

Convergence Rate of Descent Method with New Inexact Line-Search on Riemannian Manifolds

Asymptotical Stability for a Class of Complex-Valued Projective Neural Network

Global stability analysis of an SVEIR epidemic model with general incidence rate

A note on global stability for a tuberculosis model

Lower semicontinuity of solution mappings for parametric fixed point problems with applications

A Variational Inequality Theory with Applications to P $P$ -Laplacian Elliptic Inequalities

Distributionally robust chance constrained problem under interval distribution information

Optimality Conditions of Approximate Solutions for Nonsmooth Semi-infinite Programming Problems

Solvability and optimal controls of fractional delay evolution inclusions with Clarke subdifferential

Continuity and Convexity of a Nonlinear Scalarizing Function in Set Optimization Problems with Applications

Existence and Connectedness of Solutions for Generalized Vector Quasi-Equilibrium Problems

New Characterization of Geodesic Convexity on Hadamard Manifolds with Applications

A class of impulsive differential variational inequalities in finite dimensional spaces

A class of differential fuzzy variational inequalities in finite-dimensional spaces

A class of global fractional-order projective dynamical systems involving set-valued perturbations

A system of fractional-order interval projection neural networks

On European option pricing under partial information

Vector variational inequalities and vector optimization problems on Hadamard manifolds

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