A New Fixed Point Theorem for Non-expansive Mappings and Its Application
Functional Analysis
2012-08-07 v1
Abstract
We use theorem to prove the existence of a new fixed point theorem for non-expansive mapping:Let M be a bounded closed convex subset of Hilbert space H, and be a non-expansive mapping, then exists a fixed point of A in M, we also apply this Theorem to study the solution for an integral equation,we can weak some conditions comparing with Banach's contraction principe.
Cite
@article{arxiv.1208.0979,
title = {A New Fixed Point Theorem for Non-expansive Mappings and Its Application},
author = {Chunyan Yang},
journal= {arXiv preprint arXiv:1208.0979},
year = {2012}
}