Sentence examples for based on monotone operator from inspiring English sources
By using the theory of exponential dichotomy on time scales and fixed point theory based on monotone operator, some simple conditions are obtained for the existence and uniqueness of positive almost periodic solution of the system.
The aim of this paper is to use the fixed point theory based on monotone operator and the Lyapunov functional to investigate the positive almost periodic solution of Lotka-Volterra type systems (1.1 - 1.2 1.1 - 1.2
From the point of view of biology, we focus our discussion on the existence, uniqueness and stability of positive almost periodic solution of system (1.4) by using the theory of exponential dichotomy on time scales, fixed point theory based on monotone operator and Lyapunov functional.
In this paper, some sufficient conditions are established for the existence, uniqueness and global attractivity of positive almost periodic solution for a delayed Lotka-Volterra system on time scales by using the theory of exponential dichotomy on time scales, fixed point theory based on monotone operator and Lyapunov functional.
For the special case (B=I) (I denotes the usual identity operator), Davis and Yin [6] proposed a three-operator splitting scheme based on monotone operators.
The methods are based on monotone schemes such as the Godunov scheme.
Usually, the design of such observers is based on monotone systems theory.
Various methods based on monotone minimum, linear interpolation and moving average of minima have been utilized in baseline estimation [ 9, 11].
Kenmochi [7] derived new results on monotone operator equations, and Ouchi [8] proved the analyticity of solutions of semilinear parabolic differential equations with monotone nonlinearity.
Our argument mainly depends on monotone operators, nonexpansive mappings, and the metric projections.
Recently, Fang and Huang [1] introduced a new class of -monotone mappings in the context of solving a system of variational inclusions involving a combianation of -monotone and strongly monotone mappings based on the resolvent operator techniques.
