A Presic type contractive condition and its applications

作者：Chen Yong Zhuo^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2009, 71(12): E2012-E2017.

DOI：10.1016/j.na.2009.03.006

• Cone
• Contractive condition
• Difference equation
• Metric space
• Ordered Banach space
• Thompson's metric

We study discrete dynamic systems in a complete metric space (M, d) defined by mappings which satisfy Presic type contractive conditions. Their counterparts in an ordered Banach space are investigated and applied to solve the global asymptotic stability of the equilibriums of some nonlinear difference equations.

• 出版日期2009-12-15