Strict Feasibility Conditions in Nonlinear

نویسنده

  • Z. Q. Luo
چکیده

The strict feasibility plays an important role in the development of theory and algorithms of complementarity problems. In this paper, we establish su cient conditions to ensure the strict feasibility of a nonlinear complementarity problem. Our analysis method, based on a newly introduced concept of -exceptional sequence, can be viewed as a uni ed approach for proving the existence of a strictly feasible point. Some equivalent conditions of the strict feasibility are also developed for certain complementarity problems. Among others, we show that a P complementarity problem is strictly feasible if and only if its solution set is nonempty and bounded.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On Conditions for Strict Feasibility in Nonlinear Complementarity Problems 1

The strict feasibility plays an important role in the development of theory and algorithms of complementarity problems. In this paper, we establish suucient conditions to ensure the strict feasibility of a nonlinear complemen-tarity problem. Our analytical method, based on a newly introduced concept of-antifeasible sequence, can be viewed as a uniied approach in proving the existence of a stric...

متن کامل

On the optimization of Dombi non-linear programming

Dombi family of t-norms includes a parametric family of continuous strict t-norms, whose members are increasing functions of the parameter. This family of t-norms covers the whole spectrum of t-norms when the parameter is changed from zero to infinity. In this paper, we study a nonlinear optimization problem in which the constraints are defined as fuzzy relational equations (FRE) with the Dombi...

متن کامل

Construction of strict Lyapunov function for nonlinear parameterised perturbed systems

In this paper, global uniform exponential stability of perturbed dynamical systems is studied by using Lyapunov techniques. The system presents a perturbation term which is bounded by an integrable function with the assumption that the nominal system is globally uniformly exponentially stable. Some examples in dimensional two are given to illustrate the applicability of the main results.

متن کامل

Existence and Global Attractivity of Positive Periodic Solutions in Shifts δ± for a Nonlinear Dynamic Equation with Feedback Control on Time Scales

This paper is concerned with a nonlinear dynamic equation with feedback control on time scales. Based on the theory of calculus on time scales, by using a fixed point theorem of strict-set-contraction, some criteria are established for the existence of positive periodic solutions in shifts δ± of the system; then, by using some differential inequalities and constructing a suitable Lyapunov funct...

متن کامل

Strict Lyapunov functions for semilinear parabolic partial differential equations

For families of partial differential equations (PDEs) with particular boundary conditions, strict Lyapunov functions are constructed. The PDEs under consideration are parabolic and, in addition to the diffusion term, may contain a nonlinear source term plus a convection term. The boundary conditions may be either the classical Dirichlet conditions, or the Neumann boundary conditions or a period...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2000