%0 Journal Article %T New Fixed Point Theorems of Mixed Monotone Operators and Applications to Singular Boundary Value Problems on Time Scales %A Xu Huiye %J Boundary Value Problems %D 2011 %I Springer %X Some new existence and uniqueness theorems of fixed points of mixed monotone operators are obtained, and then they are applied to a nonlinear singular second-order three-point boundary value problem on time scales. We prove the existence and uniqueness of a positive solution for the above problem which cannot be solved by using previously available methods. %U http://www.boundaryvalueproblems.com/content/2011/567054