A new continuity condition and fixed point theorems with applications
β Scribed by Vyomesh Pant, Ravindra K. Bisht
- Book ID
- 120723378
- Publisher
- Springer Milan
- Year
- 2013
- Tongue
- English
- Weight
- 227 KB
- Volume
- 108
- Category
- Article
- ISSN
- 1578-7303
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We obtain a new fixed point theorem in cone, which extend the Krasnosel'skii's compression-expansion theorem in cones. Under a quite relaxed condition two theorems for the existence of positive solutions of p-Laplacian boundary value problems are proved.
In this paper, a class of mixed monotone operators with convexity and concavity are investigated, and existence and uniqueness theorems of fixed points are obtained. Moreover, some applications to nonlinear integral equations on unbounded regions and differential equations in Banach spaces are given