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STABILITY OF A LATTICE PRESERVING FUNCTIONAL EQUATION ON RIESZ SPACE: FIXED POINT ALTERNATIVE

Authors
Movahednia, EhsanMosadegh, Seyed Mohammad Sadegh ModarresPark, ChoonkilShin, Dong Yun
Issue Date
Jul-2016
Publisher
Kluwer Academic Publishers
Keywords
Hyers-Ulam stability; Riesz space; fixed point theory
Citation
Journal of Computational Analysis and Applications, v.21, no.1, pp 83 - 89
Pages
7
Indexed
SCIE
SCOPUS
Journal Title
Journal of Computational Analysis and Applications
Volume
21
Number
1
Start Page
83
End Page
89
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/154286
ISSN
1521-1398
1572-9206
Abstract
The aim of this paper is to investigate Hyers-Ulam stability of the following lattice preserving functional equation on Riesz space with fixed point method: parallel to F(tau x boolean OR eta y) - tau F(x) boolean OR eta F(y)parallel to <= phi (tau x boolean OR eta y, tau X Lambda eta y), where chi is a Banach lattice and phi : chi x chi -> chi is a mapping such that phi(x,y) <= (tau eta)(alpha/2) phi (x/tau, y/eta) for all tau, eta >= 1 and alpha is an element of [0,1/2).
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