Positive fixed points for nonlinear operators

Authors:
Ke Li;Jin Liang;Ti-Jun Xiao
Affiliations:
-;-;-
Venue:
Computers & Mathematics with Applications
Year:
2005

Citing 0
Cited 3

Positive solutions of operator equations on ordered Banach spaces and applications

Computers & Mathematics with Applications
Some theorems on existence and uniqueness of fixed points for decreasing operators

Computers & Mathematics with Applications
Fixed points of decreasing operators in ordered Banach spaces and applications to nonlinear second order elliptic equations

Computers & Mathematics with Applications

Quantified Score

Hi-index	0.09

Visualization

Abstract

This paper is concerned with the existence and uniqueness of positive fixed points for nonlinear decreasing operators with sublinear perturbation operators in ordered Banach spaces. A new fixed-point theorem, without the assumption of compactness and continuity of operators, is established, and an iterative sequence yielding the fixed point is also given. In addition, an application to nonlinear integral equations is shown.