Some fixed point theorems of increasing operators
- 1 October 1986
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 23 (1) , 23-27
- https://doi.org/10.1080/00036818608839628
Abstract
In this paper the fixed point theorems under the weak conditions of both continuity and compactness will be investigated. We show that if A:(u,v)→E is a weakly compact and increasing oprator such that (i) u≤Au , Av≤v; (ii) A([u,v]) is separable. Then A has at least a fixed roint in [u,v]Keywords
This publication has 1 reference indexed in Scilit:
- On the number of solutions of nonlinear equations in ordered Banach spacesJournal of Functional Analysis, 1972