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

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-o...

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Bibliographic Details
Main Authors: Meiqiang Feng, Xuemei Zhang, Weigao Ge
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2010/439137
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