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Fixed points of decreasing operators in ordered Banach spaces and applications to nonlinear second order elliptic equations

✍ Scribed by Zengqin Zhao; Xiangping Chen

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
449 KB
Volume
58
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, we consider some decreasing operators in ordered Banach spaces. We study the existence and uniqueness of fixed points and properties of the iterative sequences for these operators. Lastly, the results are applied to nonlinear second order elliptic equations.

πŸ“œ SIMILAR VOLUMES

Fixed point theorems for a class of nonl
Fixed point theorems for a class of nonlinear operators in Banach spaces and applications
✍ Xiaoyan Zhang πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 237 KB

In this paper, we study a class of nonlinear operator equations with more extensive conditions in ordered Banach spaces. By using the cone theory and Banach contraction mapping principle, the existence and uniqueness of solutions for such equations are investigated without demanding the existence of