Volume no :6, Issue no: 1, September 2010

DECREASING USC SOLUTIONS OF AN ITERATIVE EQUATION

Author's: Yuzhen Mi and Xiaopei Li
Pages: [87] - [97]
Received Date: August 11, 2010
Submitted by:

Abstract

By using Banach’s fixed point theorem, the existence of decreasing USC solutions of the equation in the case of inclusions at end-points with more combinations coefficients is given. Moreover, continuous dependence of the solution upon the given function is also obtained.

Keywords

iterative equation, set-valued function, fixed point, upper semicontinuity, decreasing solution.