Fixed points of -convex operators and applications
โ Scribed by Zengqin Zhao
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 269 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
Positive fixed point Superlinear Multi-point boundary value problem a b s t r a c t
We study the existence of fixed points for ฯ -ฯ-convex operators by means of a fixed point theorem of cone expansion and compression. As corollaries, we obtain some fixed point results for e-convex operators and ฮฑ-convex operators. Then the results are applied to superlinear multi-point boundary value problems.
๐ SIMILAR VOLUMES
In this paper, we present a new fixed point theorem for noncompact, convex and decreasing operators, which extends the existing corresponding results. As a sample, we give an application of the fixed point theorem to the two-point boundary value problem for a second-order differential equation.