Some new fixed point theorems are presented for operators of accretive, nonlinear contractive, or nonexpansive type. These results are then used to establish a new existence principle for second order boundary value problems in Hilbert spaces.
A fixed point theorem for convex and decreasing operators
โ Scribed by Ke Li; Jin Liang; Ti-Jun Xiao
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 109 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0362-546X
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โฆ Synopsis
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.
๐ SIMILAR VOLUMES
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-c