Author:
Brooks Robert M.,Schmitt Klaus
Abstract
These notes contain various versions of the contraction mapping principle. Several applications to existence theorems in the theories of differential and integral equations and variational inequalities are given. Also discussed are Hilbert's projective metric and iterated function systems
Reference76 articles.
1. R. Adams, Sobolev Spaces, Academic Press, New York, 1975.
2. E. L. Allgower and K. Georg, Numerical Continuation Methods, An Introduction, Springer-Verlag, New York, 1990.
3. H. Amann, On the unique solvability of semilinear operator equations in Hilbert spaces, J. Math. Pures Appl., 61 (1982), pp. 149–175.
4. L. Amerio and G. Prouse, Almost-periodic Functions and Functional Equations, vol. VIII of The University Series in Higher Mathematics, Van Nostrand, New York, 1971.
5. S. Banach, Sur les op´erations dans les ensembles abstraits et leur applications aux ´equations integrales, Fundamenta Math., 3 (1922), pp. 133–181.
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献