Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
469479 | Computers & Mathematics with Applications | 2010 | 7 Pages |
Abstract
In this paper, by introducing τ–φτ–φ-concave operators and using the properties of cones and monotone iterative technique, some new existence and uniqueness theorems of fixed points for increasing operators with such concavity are established under more extensive conditions in ordered Banach spaces. As an application, we study the existence and uniqueness of positive solutions of generalized three-point boundary value problems for second order differential equations. The results obtained here improve and generalize many known results.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Cheng-Bo Zhai, Xiao-Min Cao,