Journal
RESULTS IN MATHEMATICS
Volume 68, Issue 1-2, Pages 1-10Publisher
SPRINGER BASEL AG
DOI: 10.1007/s00025-014-0416-0
Keywords
Set-valued map; contractively subhomogeneous map; expansively superhomogeneous map; stability; fixed point
Categories
Ask authors/readers for more resources
For m = 1, 2, 3, 4, we study the following set-valued functional equation f(ax + y) circle plus f(ax - y) = a(m-2) [f(x + y) circle plus f(x - y)] circle plus 2(a(2) - 1) [a(m-2) f(x) circle plus (m - 2)(1 - (m - 2)(2))/6 f(y)] where a is a fixed positive integer with a > 1. We also prove the stability of this set-valued functional equation by using the Banach fixed point theorem.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
