TITLE:
Several New Types of Fixed Point Theorems and Their Applications to Two-Point Ordinary Differential Equations
AUTHORS:
Congjun Zhang, Jinlu Li, Yan Zhang, Xiaoliang Feng
KEYWORDS:
Expansive Mapping; Cone Metric Space; Fuzzy Metric Space; Two-Point Ordinary Differential Equations
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.10,
October
11,
2012
ABSTRACT: The present paper is mainly concerned with several new types of fixed point theorems in different spaces such as cone metric spaces and fuzzy metric spaces. By using these obtained fixed point theorems, we then prove the existence and uniqueness of the solutions to two classes of two-point ordinary differential equation problems.