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STABILITY OF A LATTICE PRESERVING FUNCTIONAL EQUATION ON RIESZ SPACE: FIXED POINT ALTERNATIVE
- Issue Date
- Jul-2016
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- Hyers-Ulam stability; Riesz space; fixed point theory
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.21, no.1, pp.83 - 89
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 21
- Number
- 1
- Start Page
- 83
- End Page
- 89
- ISSN
- 1521-1398
- 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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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)