Positive Fixed Point of Strict Set Contraction Operators on Ordered Banach Spaces and Applications

Meiqiang Feng, Xuemei Zhang and Weigao Ge

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: The fixed point theorem of cone expansion and compression of norm type for a strict set contraction operator is generalized by replacing the norms with a convex functional satisfying certain conditions. We then show how to apply our theorem to prove the existence of a positive solution to a second‐order differential equation with integral boundary conditions in an ordered Banach space. An example is worked out to demonstrate the main results.

Date: 2010
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2010/439137

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:439137

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().