10 papers
Infinitely Split Nash Equilibrium Problems in Repeated Games
Jinlu Li
In this paper, we introduce the concept of infinitely split Nash equilibrium in repeated games in which the profile sets are chain-complete posets. Then by using a fixed point theo…
Isotone Cones in Banach Spaces and Applications to Best Approximations of Operators without Continuity Conditions
Jinlu Li
In this paper, we introduce the concept of isotone cones in Banach spaces. Then we apply the order monotonic property of the metric projection operator to prove the existence of be…
Ill-posedness for the Hamilton-Jacobi equation in Besov spaces
Jinlu Li, Weipeng Zhu, Zhaoyang Yin
In this paper, we study the Cauchy problem for the following Hamilton-Jacobi equation \bbal\bca \pa_tu-\De u=|\na u|^2,\quad t>0, \ x\in \R^d,\\ u(0,x)=u_0, \quad \quad x\in \R^d.…
Nonlinear Split Ordered Variational Inequality Problems
Jinlu Li
The concept of nonlinear split ordered variational inequality problems on partially ordered vector spaces is a natural extension of linear split vector variational inequality probl…
Parametric Summability and Its Applications
Jinlu Li, Robert Mendris
In this paper we study summability based on double sequences of complex constants as it is defined in "Linear Operators, General Theory" by N. Dunford and J. T. Schwartz. We define…
Summability of Sequence of Random Variables
Jinlu Li, Robert Mendris
In this paper, we study the summability properties of double sequences of real constants which map sequences of random variables to sequences of random variables that are defined o…