Article
Fixed Point Theorems for Asymptotically Contractive Multimappings
Abstract
We present fixed point theorems for a nonexpansive set-valued mapping from a closed convex subset of a reflexive Banach space into itself under some asymptotic contraction assumptions. Some existence results of coincidence points and eigenvalues for multimappings are given.
Details
| Original language | English |
|---|---|
| Journal | International Journal of Mathematics and Mathematical Sciences |
| Volume | 2012 |
| Pages | 1-12 |
| Publisher | Hindawi Publishing Corporation |
| ISSN | 0161-1712 · 1687-0425 |
| DOI | 10.1155/2012/862791 |
| Publication status | Published — 1 January 2012 |
Keywords
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- Fixed Point Theorems Analysis
- Optimization and Variational Analysis
- Nonlinear Differential Equations Analysis
- fixed point theorems
- set-valued mappings
- nonexpansive mappings
- coincidence points
- eigenvalues
- reflexive Banach spaces
- closed convex sets
- Geometry and Topology
- Computational Theory and Mathematics
- Applied Mathematics
- Mathematics
- Computer Science